Mathematical relativity is a very widely ranging area of mathematical study, spanning differential geometry, elliptic and hyperbolic PDE, and dynamical systems. We introduce in this workshop some of the leading areas of current interest associated with problems in cosmology, the theory of black holes, and the geometry and physics of the Cauchy problem (initial data constraints and evolution) for the Einstein equations.

The introductory workshop serves as an overview to the overlying programmatic theme. It aims to familiarize graduate students, postdocs, and non-experts to major and new topics of the current program. Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.

Ever since the epic work of Yvonne Choquet-Bruhat on the well-posedness of Einstein's equations initiated the mathematical study of general relativity, women have played an important role in many areas of mathematical relativity. In this workshop, some of the leading women researchers in mathematical relativity present their work.

The workshop is intended to give an overview of the research landscape surrounding optimal transportation, including its connections to geometry, design applications, and fully nonlinear partial differential equations.

As such, it will feature some survey lectures or minicourses by distinguished visitors and/or a few of the organizers of the theme semester, amounting to a kind of summer school. These will be complemented by a sampling of research lectures and short presentations from a spectrum of invited guests and other participants, including some who attended the previous week's {\em Connections for Women} workshop.

The introductory workshop aims to familiarize graduate students, postdocs, and non-experts to major and new topics of the current program. Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.

This two-day event aims to connect women graduate students and beginning researchers with more established female researchers who use optimal transportation in their work and can serve as professional contacts and potential role-models. As such, it will showcase a selection of lectures featuring female scientists, both established leaders and emerging researchers.

These lectures will be interspersed with networking and social events such as lunch or tea-time discussions led by successful researchers about (a) the particular opportunities and challenges facing women in science---including practical topics such as work-life balance and choosing a mentor, and (b) promising new directions in optimal transportation and related topics. Junior participants will be paired with more senior researchers in mentoring groups, and all participants will be encouraged to stay for the Introductory Workshop the following week, where they will have the opportunity to propose a short research communication.

The Second Pacific Rim Mathematical Association (PRIMA) Congress will be held at Shanghai Jiao Tong University in China, on June 24-28, 2013.

PRIMA is an association of mathematical sciences institutes, departments and societies from around the Pacific Rim, established in 2005 with the aim of promoting and facilitating the development of the mathematical sciences throughout the Pacific Rim region.

$1000 travel grants are available to representatives from MSRI Academic Sponsoring Institutions. These grants are available on a first-come, first-serve basis.

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Additional Travel Support Available from an NSF Grant

The NSF has awarded a substantial grant for travel by scientists at US universities to the PRIMA Congress in Shanghai. For further information and application details, please see https://www.mathprograms.org/db/programs/152

The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1-day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from mid-morning until late afternoon, with 3-4 speakers. Lunch will be available and the final talk will be followed by dinner.

Location: Department of Mathematics, Stanford University

The workshop will examine the interplay between measures of singularities coming both from characteristic p methods of commutative algebra, and invariants of singularities coming from birational algebraic geometry. There is a long history of this interaction which arises via the "reduction to characteristic p" procedure. It is only in the last few years, however, that very concrete objects from both areas, namely generalized test ideals from commutative algebra and multiplier ideals from birational geometry, have been shown to be intimately connected. This workshop will explore this connection, as well as other topics used to study singularities such as jets schemes and valuations.

In recent years there have been increasing interactions between noncommutative algebra/representation theory on the one hand and algebraic geometry on the other. This workshop would aim to examine these interactions and, as importantly, to encourage the interactions between the three areas. The precise topics will become more precise nearer the time, but will certainly include:

Noncommutative algebraic geometry; Noncommutative resolutions of singularities and Calabi-Yau algebras; Symplectic reflection and related algebras; D-module theory; Deformation-quantization
 

This workshop will explore the fundamental problems of trying to assess students' mathematical proficiency, seeking to take a more comprehensive perspective on what it is to learn, know, and use mathematics. The advent of the Common Core State Standards both increases the demand and broadens the conception of what it is to be mathematically skillful, and opens new opportunities and challenges to improving our ability to assess what students understand and can do.

Recently there has been substantial progress in our understanding of the related questions of which hyperbolic groups are cubulated on the one hand, and which contain a surface subgroup on the other. The most spectacular combination of these two ideas has been in 3-manifold topology, which has seen the resolution of many long-standing conjectures. In turn, the resolution of these conjectures has led to a new point of view in geometric group theory, and the introduction of powerful new tools and structures. The goal of this conference will be to explore the further potential of these new tools and perspectives, and to encourage communication between researchers working in various related fields.

AWM launches a New Series of Biennial Research Symposia

AWM Research Symposium 2013 will be held at Santa Clara University March 16 -17, 2013. The symposium, the initial event in the series, will showcase the research of women in the mathematical professions. It will feature three plenary talks, special sessions on a broad range of research in pure and applied mathematics, poster sessions for graduate students, and a panel discussion of the "imposter syndrome." Join us next spring on the Santa Clara University campus.

This workshop will bring together new and experienced leaders of math circles for students and teachers. We welcome anyone who is interested in learning more about math circles, especially teachers. Workshop activities will include discussions, presentations, and a mathematics festival.
Participants will begin collaborating before the workshop to develop sample math circle sessions that they will present during the festival. These activities will be collaboratively evaluated and refined during the workshop.

The workshop will focus on recent breakthroughs in understanding and applications of free resolutions and on interactions of commutative algebra and representation theory, where algebraic geometry often appears as a third player. A specific goal is to stimulate further interaction between these fields.

This workshop will provide several short lecture series consisting two or three lectures each to introduce postdocs, graduate students and non-experts to some of the major themes of the conference. While the precise topics may change to reflect developments in the area, it is likely that we will run mini-series in the following subjects:

Noncommutative algebraic geometry; D-Module Theory; Derived Categories; Noncommutative Resolutions of Singularities; Deformation-Quantization; Symplectic Reflection Algebras; Growth Functions of Infinite Dimensional Algebras.

The Connections for Women workshop associated to the MSRI program in noncommutative algebraic geometry and representation theory is intended to bring together women who are working in these areas in all stages of their careers.

As the first event in the semester, this workshop will feature a "tapas menu" of current research and open questions: light but intriguing tastes, designed to encourage further exploration and interest. Talks will be aimed at a fairly general audience and will cover diverse topics within the theme of the program. In addition, there will be a poster session for graduate students and recent PhD recipients and a panel discussion on career issues, as well as free time for informal discussion.

This workshop on Combinatorial Commutative Algebra aims to bring together researchers studying toric algebra and degenerations, simplicial objects such as monomial ideals and Stanley-Reisner rings, and their connections to tropical geometry, algebraic statistics, Hilbert schemes, D-modules, and hypergeometric functions.

Cluster algebras provide a unifying algebraic/combinatorial framework for a wide variety of phenomena in settings as diverse as quiver representations, Teichmuller theory, Poisson geometry, Lie theory, discrete integrable systems, and polyhedral combinatorics.

The workshop aims at presenting a broad view of the state-of-the-art understanding of the role of cluster algebras in all these areas, and their interactions with each other.

This workshop will take place at the opening of the MSRI special programs on Commutative Algebra and on Cluster Algebras. It will feature lecture series at different levels, to appeal to a wide variety of participants. There will be minicourses on the basics of cluster algebras, and others developing particular aspects of cluster algebras and commutative algebra.

This workshop will present basic notions from Commutative Algebra and Cluster Algebras, with a particular focus on providing background material. Additionally, the workshop aims to encourage and facilitate the exchange of ideas between researchers in Commutative Algebra and researchers in Cluster Algebras.

The field of random media has been the object of intensive mathematical research over the last thirty years. It covers a variety of models, mainly from condensed matter physics, physical chemistry, and geology, where one is interested in materials which have defects or inhomogeneities. These features are taken into account by letting the medium be random. It has been found that this randomness can cause very unexpected effects in the large scale behavior of these models; on occasion these run contrary to the prevailing intuition. A feature of this area, which it has in common with other areas of statistical physics, is that what was initially thought to be just a simple toy model has turned out to be a major mathematical challenge.

This workshop will bring together new and experienced leaders of math circles for students and teachers.

Workshop activities will include discussions, presentations, and a mathematics festival to be held outside of the MathAlive! exhibit that will be in the Smithsonian Institution.

Participants will begin collaborating before the workshop to develop sample math circle sessions that they will present during the festival. These activities will be collaboratively evaluated and refined during the workshop.

Our understanding of the scaling limits of discrete statistical systems has shifted in recent years from the physicists' field-theoretical approaches to the more rigorous realm of probability theory and complex analysis. The aim of this workshop is to combine both discrete and continuous approaches, as well as the statistical physics/combinatorial and the probabilistic points of view. Topics include quantum gravity, planar maps, discrete conformal analysis, SLE, and other statistical models such as loop gases.

The wide adoption of the Common Core State Standards for Mathematics (CCSSM) offers a helpful curricular coherence to the environment of teacher education. And so the CCSSM present both an opportunity and a challenge to teacher education. An opportunity because of the greater focus made possible. A challenge because not only of the ambitious level of the CCSSM, but also of the prominent role in them of Mathematical Practices. While most mathematicians will find these congenial, much needs to be done to make them meaningfully understood by teachers and teacher educators, and, still more, how to enact them as an organic aspect of instruction. The CIME workshop aims to gather and stimulate ideas for how to meet this opportunity and challenge.

This first workshop in a series addresses the professional advancement of underrepresented minorities in the mathematical sciences. It will include an introduction to mathematics represented in the MSRI research programs aimed at faculty in minority serving and primarily undergraduate institutions. Anyone who will be seeking employment in mathematics within the next couple of years would benefit from attending this workshop.

Over the last ten years there has been spectacular progress in the understanding of geometrical properties of random processes. Of particular importance in the study of these complex random systems is the aspect of their phase transition (in the wide sense of an abrupt change in macroscopic behavior caused by a small variation in some parameter) and critical phenomena, whose applications range from physics, to the performance of algorithms on networks, to the survival of a biological species.

Recent advances in the scope of rigorous scaling limits for discrete random systems, most notably for 2D systems such as percolation and the Ising model via SLE, have greatly contributed to the understanding of both the critical geometry of these systems and the behavior of dynamical stochastic processes modeling their evolution. While some of the techniques used in the analysis of these systems are model-specific, there is a remarkable interplay between them. The deep connection between percolation and interacting particle systems such as the Ising and Potts models has allowed one model to successfully draw tools and rigorous theory from the other.

The aim of this workshop is to share and attempt to push forward the state-of-the-art understanding of the geometry and dynamic evolution of these models, with a main focus on percolation, the random cluster model, Ising and other interacting particle systems on lattices.

The workshop will focus on recent developments concerning various quantitative aspects of "thin groups". These are discrete subgroups of semisimple Lie groups which are both « big » (i.e. Zariski dense) and « small » (i.e. of infinite co-volume). This dual nature leads to many intricate questions. Over the past few years, many new ideas and techniques, arising in particular from arithmetic combinatorics, have been involved in the study of such groups, leading for instance to far-reaching generalizations of the strong approximation theorem in which congruence quotients are shown to exhibit a spectral gap (super-strong approximation).

Simultaneously and sometimes surprisingly, the study of thin groups turns out to be of fundamental importance in a variety of subjects, including equidistribution of homogeneous flows and lattice points counting problems, dynamics on Teichmuller space, the Bourgain-Gamburd-Sarnak sieve in orbit, and arithmetic or geometric properties of certain types of monodromy groups and coverings. The workshop will gather a variety of experts from group theory, number theory, ergodic theory and harmonic analysis to present the accomplishments to date to a broad audience and discuss directions for further study.

The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1-day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from mid-morning until late afternoon, with 3-4 speakers. Lunch will be available and the final talk will be followed by dinner.

Location: Stanford University

Research at the interface of lattice statistical mechanics and combinatorial problems of ``large sets" has been and exciting and fruitful field in the last decade or so. In this workshop we plan to develop a broad spectrum of methods and applications, spanning the spectrum from theoretical developments to the numerical end. This will cover the behaviour of lattice models at a macroscopic level (scaling limits at criticality and their connection with SLE) and also at a microscopic level (combinatorial and algebraic structures), as well as efficient enumeration techniques and Monte Carlo algorithms to generate these objects.

This 2-day workshop will bring together researchers from discrete mathematics, probability theory, theoretical computer science and statistical physics to explore topics at their interface. The focus will be on combinatorial structures, probabilistic algorithms and models that arise in the study of physical systems. This will include the study of phase transitions, probabilistic combinatorics, Markov chain Monte Carlo methods, and random structures and randomized algorithms.

Since discrete lattice models stand at the interface of these fields, the workshop will start with background talks in each of the following three areas: Statistical and mathematical physics; Combinatorics of lattice models; Sampling and computational issues. These talks will describe the general framework and recent developments in the field and will be followed with shorter talks highlighting recent research in the area.

The workshop will celebrate academic and gender diversity, bringing together women and men at junior and senior levels of their careers from mathematics, physics and computer science.

Geometric problems which are inherently quantitative occur in various aspects of theoretical computer science, including
a) Algorithmic tasks for geometric questions such as clustering and proximity data structures.
b) Geometric methods in the design of approximation algorithms for combinatorial optimization problems, including the analysis of semidefinite programs and embedding methods.
c) Geometric questions arising from computational complexity, particularly in hardness of approximation. These include isoperimetric and Fourier analytic problems. These include isoperimetric and Fourier analytic problems.

This workshops aims to present recent progress in these directions.

The Mathematical Sciences Research Institute (MSRI), in conjunction with the Chern Institute of Mathematics (CIM) in Tianjin, China, celebrates the centennial of the birth of Shiing-Shen Chern, one of the greatest geometers of the 20th century and MSRI's co-founder. In commemoration of Chern's work, MSRI and CIM will hold a two-week international mathematics conference. During the first week, October 24 to 28, 2011, the conference will take place at CIM in Tianjin, China. During the second week, October 30 to November 5, 2011, the conference will be held at MSRI in Berkeley, California.

The auditorium at MSRI can seat about 140 participants. We advise early registration.

This workshop is devoted to various kinds of embeddings of metric spaces into Banach spaces, including biLipschitz embeddings, uniform embeddings, and coarse embeddings, as well as linear embeddings of finite dimensional spaces into low dimensional $\ell_p^n$ spaces. There will be an emphasis on the relevance to geometric group theory, and an exploration into the use of metric differentiation theory to effect embeddings.

"Probabilistic Reasoning in Quantitative Geometry" refers to the use of probabilistic techniques to prove geometric theorems that do not have any a priori probabilistic content. A classical instance of this approach is the probabilistic method to prove existence of geometric objects (examples include Dvoretzky's theorem, the Johnson-Lindenstrauss lemma, and the use of expanders and random graphs for geometric constructions). Other examples are the use of probabilistic geometric invariants in the local theory of Banach spaces (sums of independent random variables in the context of type and cotype, and martingale-based invariants), the more recent use of such invariants in metric geometry (e.g., Markov type in the context of embedding and extension problems), probabilistic tools in group theory, the use of probabilistic methods to prove geometric inequalities (e.g., maximal inequalities, singular integrals, Grothendieck inequalities), the use of probabilistic reasoning to prove metric embedding results such as Bourgain's embedding theorem (where the embedding is deterministic, but its analysis benefits from a probabilistic interpretation), probabilistic interpretations of curvature and their applications, and the use of probabilistic arguments in the context of isoperimetric problems (e.g., Gaussian, rearrangement, and transportation cost methods).

Quantitative Geometry deals with geometric questions in which quantitative or asymptotic considerations occur. The workshop will provide a mathematical introduction, a foretaste, of the many themes this exciting topic comprises: geometric group theory, theory of Lipschitz functions, large scale and coarse geometry, embeddings of metric spaces, quantitative aspects of Banach space theory, geometric measure theory and of isoperimetry, and more.

This workshop will provide an introduction to the program on Quantitative Geometry. There will be several short lecture series, given by speakers chosen for the accessibility of their lectures, designed to introduce non-specialists or students to some of the major themes of the program.

The BACT Summer Workshop supports teachers in their development of problem solving skills as well as supporting the incorporation of problem solving into their teaching curriculum. During the earlier part of the week teachers will gain experience with a variety of problem solving techniques such as symmetry, mathematical patterns, and parity. Subsequent sessions will focus on particular topics such as geometry, sequences, counting, and number theory.

Note: for 2011 Workshop there will be two parallel sessions: one for elementary teachers and one for secondary teachers.

This workshop will showcase materials and successful teacher education programs, examine the Common Core State Standards and its implications, and explore how mathematics education research can improve practice.

Our workshop will highlight some work relevant to or carried out during our program at the MSRI, including statistical results about ranks for elliptic curves, zeros of L-functions, curves over finite fields, as well as algorithms for L-functions, point counting, and automorphic forms.

This workshop will bring together people who have experience running math circles and teams of people who wish to start a math circle. The workshop will begin on Friday, with discussions and presentations related to math circles. On Saturday several sample math circle sessions will be offered, and the workshop will conclude on Sunday with more discussions and presentations.









 

Many problems in physics, industry, finance, biology, and other areas can be described by partial differential equations that exhibit apriori unknown sets, such as interfaces, moving boundaries, shocks, etc. The study of such sets, also known as free boundaries, often occupies a central position in such problems. The main objective of the workshop is to bring together experts in various theoretical an applied aspects of free boundary problems.

Mathematics relies on its journal literature as the main conduit for peer review and dissemination of research, and it does so more heavily and differently to other scientific fields. The conflict between universal access and the traditional subscription model that funds the journals has been debated for the past decade, while hard data on financial sustainability and usage under the different models has been slow to appear. However the last ten years have seen the move from print to the electronic version of journals becoming the version of record and the workshop plans to take an evidence-based approach to discussing dissemination, access and usage of mathematics journals.

Our Introductory Workshop will focus largely on the background, recent work, and current problems regarding: Selmer groups and Mordell-Weil groups, and the distribution of their ranks (and "sizes") over families of elliptic curves, including recent work of Manjul Bhargava and Arul Shankar where they have shown that the average size of the 2-Selmer group of an elliptic curve over Q is 3, and thereby obtains information about the average rank of Mordell-Weil groups; related work on the asymptotics of number fields; certain natural families of L-functions, and the statistical distribution of their zeros and values; complementary algorithmic methods and experimental results regarding L-functions, automorphic forms, elliptic curves and number fields; the statistical behavior of eigenvalues of Frobenius elements in Galois representations.


 

The format of this 2-day workshop will be colloquium-style presentations that will introduce some of the major topics touched on by the "Arithmetic Statistics" program. They will be pitched so as to be understandable to researchers with a variety of mathematical backgrounds. The talks are designed broadly as a lead-in to the program's initial workshop (taking place the following week) and will include topics such as the Sato-Tate conjecture, random matrix theory, and enumeration of number fields. The purpose will be to provide background but also to present the exciting areas where progress is happening fast, where major problems have been solved, or where there are significant open questions that need to be tackled. With this we aim to provide motivation for the Connections participants to involve themselves with the remainder of the program.

 

Many problems in physics, industry, finance, biology, and other areas can be described by partial differential equations that exhibit a priori unknown sets, such as interfaces, moving boundaries or shocks for example. The study of such sets, also known as free boundaries, often plays a central role in the understanding of such problems. The aim of this workshop is to introduce several free boundary problems arising in completely different areas.

Contributions of women working in areas related to free boundary problems will be presented. It will include survey lectures on current problems and on standard techniques used in this field, as well as more specific new results of individual researchers. One of the major goals besides the scientific aspect, is to encourage women mathematicians to interact and to build networks. It addresses also to graduate students who are very welcome. A discussion on women’s experiences in the mathematical community should help them to find their way in their mathematical career.

 

Random matrix theory (RMT) was introduced into the theoretical physics community by Eugene Wignerinthe 1950s as a model for the scattering resonances of neutrons off large nuclei. In multivariate statistics, random matrix models were introduced in the late 1920s by John Wishart and subsequently developed by Anderson, James and others. Since these early beginnings RMT has found an extraordinary variety of mathematical, physical and engineering applications that, to name some, include number theory, stochastic growth models, tiling problems and wireless communications.

 

This workshop will provide a forum for researchers on both sides (and the middle!) of hybrid symbolic-numeric computation. We anticipate inviting as primary speakers some of the original contributors in the field, as well as younger researchers making strong contributions on different aspects of the field.


 

Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth's substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes, and modelling in the life sciences.
The speakers in the workshop will cover a broad range of the most recent developments in the theory and applications of inverse problems.





 

This workshop will focus on the ideas surrounding the recent solution to the Arf-Kervaire invariant problem in stable homotopy theory by Mike Hill, Mike Hopkins and Doug Ravenel. There will be talks on relevant aspects of equivariant stable homotopy theory, including the norm functor and the slice tower. The pertinent parts of chromatic homotopy theory will be covered including formal groups and formal $A$-modules, the Hopkins-Miller theorem, finite subgroups of Morava stabilizer groups and Ravenel's 1978 solution to the analogous problem at primes bigger than 3. There will also be several talks by the organizers giving a detailed account of the proof of the main theorem. Finally there will be a discussion of the questions raised by the unexpected statement of the theorem.




 

The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1-day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from mid-morning until late afternoon, with 3-4 speakers. Lunch will be available at MSRI (participants will be asked to make a donation to help defray their lunch expenses) and the final talk will be followed by dinner. The schedule (with speakers) will be posted as soon as it becomes available.The October 23rd meeting takes place on the 60th birthday of Rick Schoen, and the dinner will recognize this happy coincidence.

BADMath Days are one-day meetings aimed at facilitating communication between researchers and graduate students of discrete mathematics around the San Francisco Bay Area. These days happen twice a year and strive to create an informal atmosphere to talk about discrete mathematics. The term "discrete mathematics" is chosen to include at least the following topics: Algebraic and Enumerative Combinatorics, Discrete Geometry, Graph Theory, Coding and Design Theory, Combinatorial Aspects of Computational Algebra and Geometry, Combinatorial Optimization, Probabilistic Combinatorics, Combinatorial Aspects of Statistics, and Combinatorics in Mathematical Physics.

Topics covered in this workshop will include fundamental problems in random matrices, including universality questions and connections to physics, free probability, Riemann Hilbert problems and applications to other areas of mathematics such as number theory and numerical analysis.

In the spring of 1999, MSRI hosted a very successful and influential one-semester program on RMT and its applications. At the workshops during the semester, there was a sense of excitement as brand new and very recent results were reported. The goal of the 2010 Program is to showcase the many remarkable developments that have taken place since 1999 and to spur further developments in RMT and Related areas of interacting particle systems (IPS) and integrable systems (IS) as well as to highlight various applications of RMT.

Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth’s substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes and, more recently, modelling in the life sciences.
 

Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth’s substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes and, more recently, modelling in the life sciences.

The National Council of Teachers of Mathematics has just released a new document, Focus in High School Mathematics: Reasoning and Sense-Making. The Council of Chief State School Officers and the National Governor’s Association have initiated a state led effort to produce Common Core State Standards, which they hope will move states toward national curricular coherence. The national scene is being transformed through stimulus money aimed at having states adopt common standards. This is a significant time for mathematicians to weigh in for coherence and a focus on thinking, understanding and sense-making. For this reason MSRI will host the seventh Critical Issues in Mathematics Education Workshop on this topic. Themes of the workshop will include international comparisons, the role of a coherent national curriculum in the teaching of mathematics, and the ways in which technology can be used to support reasoning and sense-making.

Sponsor: Hayashibara Foundation




Symplectic geometry originated as a mathematical language for Hamiltonian mechanics, but during the last 3 decades it witnessed both, spectacuar development of the mathematical theory and discovery of new connections and applications to physics. Meanwhile, non-commutative geometry naturally entered into this picture.

The first week of May 2010 coincides with the first year anniversary of Alan Weinstein's retirement from UC Berkeley; Weinstein has been one of the most influential figures in symplectic geometry, Poisson geometry and analysis in the past forty years. Weinstein's fundamental work inspired many others and led to the development of central concepts in symplectic and Poisson geometry, as well as to the establishment of symplectic geometry as an independent discipline within mathematics. This conference will be a forum to celebrate Weinstein's fundamental contributions to geometry and mathematics at large.

This workshop will focus on recent progress in central problems in
symplectic and contact topology and Hamiltonian dynamics such as
rigidity of Lagrangian submanifolds, algebra/topology/geometry of
symplectomorphism and contactomorphism groups, exotic symplectic and
contact structures, and existence of
periodic orbits of Hamiltonian systems and Reeb flows.
It will explain applications of the "large machines"
such as Floer Theory, Symplectic Field Theory and Fukaya categories,
showing where these machines do not yet provide satisfactory
answers. Special attention will also be paid to articulating
new problems and
directions, as well as to explaining
interactions between symplectic and contact
topology and other fields.

Link homology is a young and rapidly-developing area drawing on many branches of mathematics. The subject has its roots in representation theory, and it has benefitted from its interactions with low-dimensional, classical, and quantum topology and symplectic geometry. Indeed, several recent developments have underscored the close parallels between link homology and Floer homological invariants for low-dimensional manifolds.

This conference will bring together people who have experience running math circles with *teams* of people who wish to start a math circle. The workshop will begin on Saturday with a Math Festival for school children in the Phoenix area. The following two days will have panel discussions and presentations on various topics of interest to people who run or wish to run a math circle.

The Winter workshop supports teachers in their development of problem solving skills as well as sharing with them information about upcoming mathematical opportunities for students and teachers. This will be a great opportunity for teachers new to the Math Circle program and experienced Math Circle teachers.

This workshop will introduce the main branches in the study of knot homology theories. It will consist of three mini-courses, one on knot Floer homology and related topics; one on the various approaches to
Khovanov and Khovanov-Rozansky homology; and one on categorification on quantum groups. (There will also be several stand-alone lectures.) The techniques involved in the three branches are quite different; in
particular, Heegaard Floer theory is analytic in nature, with its origin in gauge theory and symplectic geometry, while both Khovanov homology and categorification are more algebraic in nature, with origins in representation theory and algebraic geometry. The workshop will provide an opportunity for graduate students and researchers
outside the field to gain entry, as well as for researchers working in one part of the field to learn about techniques and developments in other parts.

This 2-day workshop will serve as a prelude to the introductory workshop for the semester-long program on homology theories of knots and links. Survey talks in the mornings will position the work in Khovanov and Heegaard Floer homology in a broader context, focusing on:

1) applications to classical questions in low-dimensional topology, and
2) connections to contact and symplectic topology.

Research talks in the afternoons will highlight the range of current activity in the field. We plan a format of no more than four talks each day to allow ample time for presentation opportunities for younger researchers and formal and informal discussions.

/Macaulay2/ is a software system devoted to supporting research in algebraic geometry and commutative algebra. Its creation and development have been funded by the National Science Foundation since 1992.

/Macaulay2/ includes core algorithms for computing Gröbner bases and graded or multi-graded free resolutions of modules over quotient rings of graded or multi-graded polynomial rings with a monomial ordering. The core algorithms are accessible through a versatile high level interpreted user language with a powerful debugger supporting the creation of new classes of mathematical objects and the installation of methods for computing specifically with them. /Macaulay2/ can compute Betti numbers, Ext, cohomology of coherent sheaves on projective varieties, primary decomposition of ideals, integral closure of rings, and more.

The goal of the workshop was to work at improving and augmenting the functionality of some of the existing packages. Likely projects included computing sheaf cohomology, intersection theory, and enumerative geometry.

One of the successes of tropical geometry is its applications to a number of different areas of recently developing mathematics. Among these are enumerative geometry, symplectic field theory, mirror symmetry, dimer models/random surfaces, amoebas and algas, instantons, cluster varieties, and tropical compactifications. While these fields appear quite diverse, we believe the common meeting ground of tropical geometry will provide a basis for fruitful interactions between participants.

The Bay Area Differential Geometry Seminar meets around 3 times each year and is a 1-day seminar on recent developments in differential geometry and global analysis, broadly interpreted. Typically, it runs from mid-morning until late afternoon, with 3-4 speakers. Box lunches will be available for purchase and the final talk will be followed by dinner. The schedule (with speakers) will be posted as soon as it becomes available. Please register and also indicate whether you will be attending the dinner afterwards. If you have questions, please feel free to contact the organizers.

The theory of holomorphic curves in symplectic manifolds leads
to rich algebraic structures. The study of these structures is
increasingly important both for understanding the theory itself, and
for actual computations and applications. The aim of the workshop
is to survey ongoing developments in the area. Some of the topics
of interest are: cohomological field theories; relative and tropical
Gromov-Witten invariants; Symplectic Field Theory (SFT) and connections
with string topology; theories of holomorphic curves with Lagrangian
boundary conditions, such as relative SFT, open Gromov-Witten theory,
and Fukaya categories.

This workshop will concentrate on tropical methods in Combinatorics
and Algebra. Some of the topics we expect to explore are
tropical ideas and methods in combinatorial linear algebra and in
combinatorial representation theory, as well as computational issues and applications of tropical methods in algebraic statistics.

The mathematical study of the dynamics of the Einstein equations forms a central part of both partial differential equations and geometry, and is intimately related to our current physical understanding of gravitational collapse.

This workshop is to lay the foundations for the upcoming program. Mini-courses comprising lectures and exercise/discussion sessions will cover the foundational aspects of tropical geometry as well as its connections with adjacent areas: symplectic geometry, several complex variables, algebraic geometry (in particular enumerative and computational aspects) and geometric combinatorics. The mini-courses will be augmented by research talks on current tropical develpoments to open the scene and set up new goals in the beginning semester.

The aim of this workshop is to introduce advanced graduate students and postdocs to tropical geometry. Various aspects of this multi-faceted field will be highlighted in two short-courses comprising lectures and exercise/discussion sessions as well as in research talks. The workshop will thus provide the participants with
an excellent introduction to the forthcoming events of the program. The scientific part will be complemented by a round table discussion on career issues of female mathematicians.

This workshop aims both to introduce
people to a broad swath of the field
and to frame its most important problems.
Each day will be organized around a
basic topic, such as how to count holomorphic
curves with boundary on a Lagrangian submanifold (which
leads to various versions of Floer theory)
or how to understand the general structure of
symplectic and contact manifolds.
There will also be an introduction to the
analytic and algebraic aspects of symplectic
field theory, and a discussion of some applications.

This will form a bridge between
the graduate student workshop which will just be ending and
the Introductory workshop. After some
elementary talks describing some of the main questions
in the field, there will be an extended discussion session
intended to explain basic concepts to those unfamiliar with the area.
There will also be an opportunity for young researchers in the field
to present their work, and an evening social event.

The aim of the Circle for Teachers is to equip educators with an effective problem-solving approach to teaching mathematics.

Courant Institute of Mathematical Sciences, New York University, New York


 

Stochastic and multi-scale modeling is becoming a main driving force in many scientific and engineering disciplines, and is a mong the most exciting areas of scientific research. Indeed, many problems in sciences involve quantifying the behavior of complex systems with a very large number of degrees of freedom. The systems interact on al arge span of scales and require to incorporate stochastic effects to account for model errors and/or disturbances from under-resolvedscales.

Teaching Undergraduates Mathematics will be the sixth in a series of Critical Issues in Education workshops hosted by the Mathematical Sciences Research Institute (MSRI) in Berkeley, CA. Whereas previous workshops focused on K-12 education and teacher education, this workshop will focus on undergraduate education.

Themes: Carbon cap-and-trade and economic consequences; Game theory and self-enforcing treaties; Economic mechanisms and incentive for greenhouse gas emission reductions.

This conference will bring together experienced math circle directors and professional mathematicians along with secondary school teachers and students, with the three- fold goal of inspiring and equipping individuals to begin math circles in their communities, passing along successful math circle presentations and best practices in math circle administration, and renewing and strengthening ties among members of the existing math circle network.

The goal of the conference is to bring individuals from genetics and the mathematical sciences into closer contact so that they might share objectives and skills needed to advance both areas, and especially their intersection.

This workshop will present the state of the art in combinatorial, enumerative, and toric algebraic geometry. It
will highlight this part of modern algebraic geometry within the context of the broader parent program at MSRI, and convey its scope to young researchers.

This workshop features numerous hands on introductory tutorials about Sage, and the interface between Sage and Macaulay2. There were discussions and talks about doing algebraic geometry with both Sage and Macaulay2, and the unique advantages of both systems. There were also talks about working with lattice polytopes and doing Lie theory in Sage. In addition to the talks and tutorials, we had numerous coding sprints.

As one of the MAAs most entertaining sections this meeting will be no exception. All the presentations will have plenty of rich mathematics accessible to students but equally engaging for seasoned veterans. The featured speakers are Robert Bryant (The idea of Holonomy), David Bressoud - MAA President Elect (The Story of the Alternating Sign Matrix Conjecture), Frank Farris - Editor Mathematics Magazine (A window to the 5th dimension), Kevin McCurley - Google Research (Information Modeling with Graphs), and Helene Barcelo - MSRI (Subspace Arrangements from a Combinatorial point of view). There will also be a student poster session, a luncheon, and plenty of time for catching up with old friends and colleagues.

This workshop will convene experts specializing on the minimal model program, derived categories and moduli
spaces in an informal environment to facilitate the cross-fertilization of ideas across these different fields of algebraic geometry.
 

Using Macaulay 2 in your research.

The goal of the workshop is to help the participants use the Macaulay 2 software in their research. The first presentation will focus on installation, set-up, and basic functions.
Participants are encouraged to bring their laptops to this session to get assistance with the software installation. The other independent talks will focus on different problems in algebraic geometry; likely topics include computing sheaf cohomology, intersection theory, and enumerative geometry. Each of these talks will also demonstrate the use of Macaulay 2.

The main theme of the workshop will be to explore modern approaches to
problems originating in Classical Algebraic Geometry, and at the same time
offer an introduction to various subfields to the younger participants in
the semester-long program.

This workshop is part of the semester program on Algebraic Geometry, and
additional funding will be available for participants to attend the associated
"Introductory workshop: Classical algebraic geometry," January 26-30, 2009.

 

Algebraic statistics is a maturing discipline focused on the applications of algebraic geometry and its computational
tools in the study of statistical models. Initial results in the area were related to specific problems in categorial data analysis and experimental design, however
a flurry of activity during the past several years has greatly increased the scope of the subject. Areas of interest now include graphical models, maximum likelihood estimation and
Bayesian methods. Moreover, a strong connection has developed to applications in the physical and biological sciences. The field draws its tools not only from computational
algebraic geometry but also from tropical, convex, and information geometry. Moreover, research in algebraic statistics has led to new directions in those fields. The workshop
will be a meeting point for students and leaders in the field. It will present a focused activity parallel to the 2008-2009 program on Algebraic Methods in Systems Biology and Statistics being hosted by
the Statistical and Applied Mathematical Sciences Institute.

A core problem – perhaps the central problem – for improving elementary school mathematics is the mathematical education of elementary teachers. The historic isolation of elementary teachers’ study of mathematics from their pedagogical preparation is increasingly seen to be both unnatural and ineffective. Indeed, the mathematical education of elementary teachers is inherently interdisciplinary as future teachers seek to gain the mathematical knowledge, the pedagogical knowledge and the knowledge of young students that is needed to become a successful mathematics teacher. Thus, it seems reasonable that an integrative learning approach to mathematical education of elementary teachers could yield substantial benefits.

Location: Morelia/Mexico City




This is a combination of a conference and workshop on cluster algebras and their relations to geometry, representation theory and combinatorics. The workshop will take place in Morelia (a colonial town about 250km west of Mexico-City), December 8-13, 2008 followed by the conference in Mexico-City, December 15-20.

The Research in this area developed with amazing speed after the introduction of cluster algebras around 2001 by Sergey Fomin and Andrei Zelevinsky and has attracted a variety of first rate mathematicians throughout the world, for instance Alexander Goncharov, Bernhard Keller, Maxim Kontsevich, Bernard Leclerc, Idun Reiten and Claus Michael Ringel, most of them being ICM speakers.

A good way to get an overview of the intense activities related to cluster algebras is Sergey Fomin's cluster algebras portal:
http://www.math.lsa.umich.edu/~fomin/cluster.html
see also section below for some discussion of the impact of cluster algebras.

This workshop website is at:
http://www.matem.unam.mx/iconcart/

Cultivating diversity and broadening participation of historically underrepresented groups in the mathematical sciences are national goals that are identified by the National Science Foundation as "essential components of the innovation engine that drives the Nation's economy." The goal of this three-day conference is to stimulate, identify, and disseminate successful models that imporve retention of underrepresented groups in graduate programs in mathematics.

For the past decade, microarrays have been the assays of choice for high-throughput studies of gene expression. Recent improvements in the efficiency, quality, and cost of genome-wide sequencing are prompting biologists to rapidly abandon microarrays in favor of so-called next-generation sequencers, e.g., Applied Biosystems' SOLiD, Helicos BioSciences' HeliScope, Illumina's Solexa, and Roche's 454 Life Sciences sequencing systems. These high-throughput sequencing technologies have already been applied for studying genome-wide transcription levels (mRNA-Seq), transcription factor binding sites (ChIP-Seq), chromatin structure, and DNA methylation status. While sequencing-based gene expression studies have been touted as overcoming longstanding limitations of microarray-based studies, these new biotechnologies raise similar as well as novel statistical and computational challenges.

This workshop website is at: http://www.stat.berkeley.edu/~seqmtg/

This workshop will bring together researchers interested in the topology of stratified spaces. It will focus roughly on four topics: topology of complex varieties, signature theory on singular spaces, L² and intersection cohomology, and mixed Hodge theory and singularities. Aside from talks on current research, there will be a series of introductory lectures on these themes. These talks will be aimed at strengthening the connections among the various topology research groups and the connections between topology researchers and researchers at the program on Analysis of Singular Spaces, running concurrently.

This four-day program will be an introduction to the main themes of the Analysis on Singular Spaces program, geared toward graduate students and postdocs. It will consist of several minicourses, covering topics in
spectral and scattering theory, index theory, and $L²$-cohomology, as well as developing the technical tools needed as background.

This two-day program will consist of a "crash course" in topics in PDE relevant to the Analysis on Singular Spaces main program, and in particular will attempt to get graduate students, postdocs, and even advanced
undergraduates ready for the Introductory Workshop the following week. The focus will be topics in analysis on smooth manifolds whose generalizations to singular spaces will be the focus of the main program.

In recent years, there has been lots of exciting progress in many branches of low-dimensional topology, including Heegard Floer and Khovanov Homology, small 4-Manifolds, TQFT, knot concordance and Lefschetz fibrations. These are the main themes of this workshop whose format will be three one-hour lectures every day, two in the morning and one survey lecture in the afternoon (except for Friday). This survey lecture will be followed by a panel for experts, lead by the afternoon speaker and some other leaders of the field. The panel will discuss current developments and open problems and it can be extended into the late afternoon if so desired by the panelists.

Supported by the Sea Change Foundation, this three-week summer school will incorporate a workshop for graduate students as well as an advanced research workshop. The mini-program is designed to introduce students and postdocs to a set of mathematical ideas and techniques that are highly relevant to climate change research.

This conference, jointly funded by MSRI and the Clay Mathematics Institute, will bring together researchers on many aspects of the arithmetic applications of modular (and automorphic) forms. This is currently a very broad and very active subject. Our intention is to encourage interaction between those working in different sub-disciplines. To this end it is hoped to limit lectures to 4 hours a
day, allowing plenty of time for informal interactions. On Tuesday, July 1, 2008 at 7pm there will be a dinner to honor Ken Ribet on his 60th birthday.

This workshop will concentrate on recently discovered relationships between Seiberg-Witten theory and contact geometry on 3 dimensional manifolds. One consequence of these relationships is a proof of the Weinstein conjecture in dimension 3. Another is an isomorphism between the Seiberg-Witten Floer (co)homology and embedded contact homology, the latter a form of Floer homology that was defined by Michael Hutchings. The over arching plan is to introduce the salient features of both the contact geometry side of the story and the Seiberg-Witten side, and then discuss how they are related.

For over two decades, the teaching and learning of algebra has been a focus of mathematics education at the precollege level. This workshop will examine issues in algebra education at two critical points in the continuum from elementary school to undergraduate studies: at the transitions from arithmetic to algebra and from high school to university. In addition, the workshop will involve participants in discussions about various ways to structure an algebra curriculum across the entire K-12 curriculum.

Exterior Differential Systems and the Method of Equivalence surveys state of the art applications of these techniques and celebrates the contributions of Robby Gardner to our current understanding of Cartan’s powerful machinery.

We hope that you will join us for the Anniversary celebration at the end of January 2008. As befitting the broad mission of the Institute these will include not only mathematical exposition by some of the leaders who have been and are about to be involved with MSRI programs, but also an opening program of mathematics and music and some panels to reflect on the most important directions for future development.

The goal of the Introductory Workshop is to survey current and recent developments in the field. The talks will focus on tableaux, reflection groups, finite groups, geometry and mathematical physics in the realm of Combinatorial Representation Theory.

This workshop is designed to encourage and support the mathematical community's involvement in the effort to study cancer using system approaches. Conference presenters will include mathematicians and computer scientists presently involved in systems approaches to cancer and more general fields of biology. These presenters will cover general approaches to systems biology including analysis of genome scale data as well as statistical, continuous, and hybrid methods for pathway modeling. The workshop will also provide tutorials covering the use of tools and methods in systems biology as well as on the fundamental biological processes involved in cancer. In addition, the workshop will provide travel support for students and postdocs from the mathematical sciences to foster interest in this field.

This workshop is to be held at the Kansas City Marriott Downtown located at 200 West 12th Street, Kansas City, Missouri, directly preceding the Annual Meeting of SACNAS. The focus is on the Analysis of Singular Spaces, Ergodic Theory and Additive Combinatorics, and Algebraic Geometry

Building on the issues investigated in these previous workshops, this workshop will focus concretely on courses, programs and materials that aim to increase teachers’ mathematical knowledge for teaching. Both courses and programs that lead to initial certification and professional development of current teachers will be examined at the workshop. In addition, the workshop will examine efforts by colleges, universities, school districts, professional organizations and funding agencies to support people who teach these courses or lead these workshops.

Complex physical, biological, geophysical and environmental systems display variability over a broad range of spatial and temporal scales. To make progress in understanding and modelling such systems, a combination of computational, analytical, and experimental techniques is required. There are issues that emerge prominently in each of these categories and in all these stochastic methods are playing a fundamental role.

The objective of this event is to mark the first decade of Computational Finance as a discipline in its own right. The event will take place in London, England, which offers the advantage of a central location and a substantial local audience.

The goal of this workshop is to study and formulate practical parallel algorithms that support interactive mathematical research in algebra, geometry, and number theory, and to formulate strategies to encourage implementation and testing of these ideas.

This workshop is jointly funded by MSRI and the Clay Mathematics Institute.

This workshop will be held at the Marriott-Waterside in Tampa, Florida, directly preceding the Annual Meeting of SACNAS. The focus is on geometric group theory and representations of finite groups from both the analytic and combinatorial points of view. There will also be a session for undergraduates on topics of mathematical biology.

This conference will be held at UNAM, Cuernavaca, Mexico It is a follow-up to the training program held at UNAM, Morelia in January, 2006 and the MSRI program in New Topological Structures in Physics, held at MSRI during the Spring, 2006 semester.

This is a workshop on solving mathematical problems for middle school teachers sponsored jointly by the Mathematical Sciences Research Institute and the American Institute of Mathematics. The workshop will take place at AIM headquarters in Palo Alto, Califronia

The purpose of this workshop is to assess and build upon progress in the theory of hyperplane arrangements and configuration spaces since the 2004 MSRI program Hyperplane Arrangements and Applications.

An NSF Chautauqua Short Course, sponsored by the California Field Center at the California State University, Dominguez Hills. An overview of Brown’s University of Michigan course on a variety of two-person combinatorial games, for academics interested in incorporating such a course in their curricula.

In the past two decades, a wide range of techniques have been developed for obtaining rigorous bounds on mixing times. Many of these ideas, as well as concrete examples from combinatorics and statistical physics can be included in undergraduate courses. The workshop is aimed at instructors interested in expanding the undergraduate probability curriculum to include developments on mixing times, or who wish to learn about this still growing field.

This is a Professional Enhancement Program of the Mathematical Association of America, held at MSRI.

Mirror duality has demonstrated the striking effectiveness of concepts of modern physics in enuerative geometry. It is of the same type as the simple radius inversion duality seen in string compactifications on S1. This type was discovered early because it shows up in every term in the string genus expansion and can be studied in 2d conformal field theory.

This workshop,jointly sponsored by the Association for Women in Mathematics and MSRI, is a celebration of careers of women in mathematics, on this occasion those of Olga Ladyzhenskaya and Olga Oleinik.

This workshop is jointly sponsored by MSRI and CRM and will be held at the Banff International Research Station in Banff, Canada.

This conference will be held at MSRI in Berkeley, CA.

Knowledge of mathematics in the technology and information age has been likened to reading literacy in the industrial age. In each case knowledge is the enabler, the ticket to full participation in society and to some measure of economic well-being. This conference will explore the historical and current challenges to quality and equity in the teaching and learning of mathematics, both in the U.S. and internationally. The exploration will feature case studies of successful and not-so-successful efforts, with the goal of learning together how to improve and refine that which works and correct that which doesn't.

This workshop is designed to encourage and support the mathematical community's involvement in the study of cancer using system approaches. Presenters will include mathematicians and computer scientists involved in systems approaches to cancer and more general fields of biology. The presentations will cover general approaches to systems biology, analysis of genome scale data and statistical, continuous, and hybrid methods for pathway modeling. The workshop will also provide tutorials covering the use of tools and methods in systems biology as well as on the fundamental biological processes involved in cancer.

Designing resource-efficient wireless networks requires a fundamental understanding of the mathematics underlying multi-terminal communication systems. One of the simplest such systems is a "three-body problem'', with a source, a destination, and a relay whose purpose is to assist the communication from the source to the
destination. This seemingly simple communication problem has long resisted solution, but new insight has been gained recently.

NOTE: This workshop is to be held at the International House Berkeley on the UC Berkeley campus, at 2299 Piedmont Avenue.

The purpose of this program is to introduce new topological concepts in physics to young research mathematicians from both South and North America. The lectures given during the first week will provide the necessary background; these will be supplemented, primarily during the second week, with lectures by leading researchers on recent progress. That week serves as the Opening Workshop for the MSRI program, Spring, 2006, in New Topological Structures in Physics.

NOTE: This workshop is to be held at the International House on the UC Berkeley campus, at 2299 Piedmont Avenue. On site registration for the workshop will be at the International House.

NOTE: This workshop is to be held at the International House on the UC Berkeley campus, at 2299 Piedmont Avenue. On site registration for the workshop will be at the International House, starting at 8:30 AM Monday and ending at 3:30 PM Monday.

(at the Banff International Research Station, Banff, Alberta, Canada). A workshop to bring together mathematicians working on algebraic, analytic, combinatoric, geometric and topological aspects of group theory in order to strengthen each of these approaches through an exchange of techniques and ideas.

NOTE: This workshop is to be held at the International House on the UC Berkeley campus, at 2299 Piedmont Avenue, except for the Tuesday session, which will be held at the Lawrence Berkeley National Laboratory. On site registration for the workshop will start at 8:30 AM Monday and end at 3:30 PM Monday.

Morehouse College and Spelman College in Atlanta, together with the Mathematical Sciences Research Institute, will conduct a weekend workshop on the Morehouse and Spelman College campuses on modern developments in mathematics that will be the focus of upcoming research programs and summer graduate programs at MSRI, supplemented by additional special invited talks.

There will be two series of five lectures each by L. Caffarelli and M. Gursky. In addition, each day there will be two more lectures by other speakers.

This workshop will be an intensive two-day introductory minicourse on elliptic PDE. L C Evans will present a series of lectures on the basic theory and estimates for linear and nonlinear elliptic equations, with applications to variational problems and to nonlinear systems. A Chang will lecture on applications of elliptic PDE to conformal geometry and other geometric problems.

This workshop is aimed at faculty who wish to learn about this exciting field and would like to enrich a variety of undergraduate courses with new examples and applications, or teach a stand-alone course in geometric combinatorics.

This workshop seeks to bring together (a) mathematicians studying the math
properties of particular models, and (b) experts in various network
fields who can survey the successes and challenges of modeling within
their field.

This workshop is aimed at faculty who wish to learn about this exciting field and would like to enrich a variety of undergraduate courses with new examples and applications. The workshop is being held in collaboration with the Mathematical Association of America as part of the MAA's Professional Enhancement Program (PREP). See the PREP website for information about registration and participant support.

The topics of this workshop include phase transitions in connection to
random graphs, boolean functions, satisfiability problems, coding,
reconstruction on trees and spinglasses.

Special focus will be given to the study of the interplay
between the replica method, local weak convergence and algorithmic aspects of
reconstruction.

Recent years have seen the rapid development of techniques for the analysis of MCMC algorithms, with applications in all the above areas. These techniques draw from a wide range of mathematical disciplines, including combinatorics, discrete probability, functional analysis, geometry and statistical physics, and there has been significant cross-fertilization between them. This workshop aims to bring together practitioners from all these domains with the aim of furthering this interplay of ideas.

MSRI Program on Probability, Algorithms and Statistical Physics, Spring 2005 --- OPENING DAY, Thursday 13 January, 2005

The purpose of this workshop is to start a National Network of Math Circles and a set of resources for new Circles

The third biennial Cornell-MSRI Blackwell-Tapia Conference and the second Blackwell-Tapia Prize Presentation will be held at the Institute for Pure and Applied Mathematics in Los Angeles. See the conference website at IPAM for further details.

This workshop will be part of MSRI's Special Semester in Hyperplane Arrangements and Applications.

This workshop will focus on the following topics: Characteristic varieties and resonance varieties, homotopy types of arrangements, moduli of arrangements, Gauss-Manin connections, KZ and qKZ equations, elliptic hypergeometric functions, and hypergeometric functions associated with curves of arbitrary genus.

This conference on dynamical systems will have a fairly wide scope, with emphasis on specific problems that have seen much progress but where significant problems vital to the field remain open.

A weekend workshop at SFSU on upcoming programs at MSRI

This conference, founded at MSRI in 1995, returns to MSRI for its tenth annual offering, and is being co-hosted by Lawrence Berkeley National Laboratory.

This workshop will follow MSRI's Summer Graduate Program on Analysis of Algorithms

This workshop is aimed at faculty who wish to learn about this exciting field and would like to enrich a variety of undergraduate courses with new examples and applications, or teach a stand-alone course in geometric combinatorics. The workshop is being held in collaboration with the Mathematical Association of America as part of the MAA's Professional Enhancement Program (PREP). See the PREP website for information about registration and participant support.

The purpose of this working seminar is to bring face-to-face programmers who are already involved in implementing, extending and maintaining the WeBWorK homework system on various campuses in order to hammer out standards for future development, prioritize and assign programming development tasks, design protocols for labeling and sharing problem sets, and map out a strategy for producing more comprehensive documentation.

The goal of this workshop is to provide an overview of the current state of research in mathematical and computational neuroscience both to those already working in the field and to those who are considering moving into it. The workshop will focus on neural networks and their properties. Several major themes will be addressed: (1) Oscillations, (2) Waves, (3) Synchrony, (4) Maps, (5) Visual Cortex Dynamics, and (6) Information Processing.

This is the first in a series of workshops on K-12 mathematics education, the goal of which is to engage groups of people with diverse expertise relevant to the framing, investigation, and solution of critical problems in K-12 education. Schedule now available.

Due to the tremendous response to the announcement of this workshop, the workshop is now fully booked, and we have had to close registration. For further information, please contact Bob Megginson at meggin@msri.org.

This workshop is the second part of a two-week conference sponsored by MSRI, AIM and the NSF, focusing on Perelman's recent work on Thurston's geometrization conjecture using Hamilton's Ricci flow. The talks at MSRI are intended for a general audience and follow a week long workshop at AIM intended for a more specialized audience.

LOCATION: The Banff Conference Centre, Banff, Canada

The past 25 years have seen studies of some of the key figures in the history of algebra -- Hermann Grassmann, James Joseph Sylvester, Leopold Kronecker, Sophus Lie, David Hilbert, Georg Frobenius, Emmy Noether -- and there is work progress on Dedekind, Francis Macaulay, and Oscar Zariski, among many others.

To be held at the Banff International Research Station in Banff, Alberta, Canada.

The goal of this workshop is to encourage interactions between researchers (mathematicians, physicists and other scientists) who have worked on different approaches to the Feynman integral and its related topics and applications.

LOCATION: Alliance Capital Conference Center, New York City
Event risk modeling in finance incorporates concepts and techniques from insurance, mathematics, physics, seismology, geography, and computer science, amongst other disciplines. This conference on event risk will comprise top-quality, state-of-the-art papers, both theoretical and empirical.

MSRI and Cornell University have established a prize in honor of the distinguished mathematical scientists David Blackwell and Richard A. Tapia. The first award will be presented at a conference at MSRI, sponsored by MSRI and Cornell with additional funding from the Institute for Pure and Applied Mathematics.

ANNOUNCEMENT: Arlie O. Petters Receives First Blackwell-Tapia Prize.

Schedule now available.

Presented jointly with IPAM, and held in Los Angeles. See IPAM website for details.

The semidefinite programming models of computation has enjoyed tremendous interest recently, due to its ubiquity in many areas of science and engineering.

To be held at the Banff Conference Centre in Banff (Alberta), Canada

A weekend workshop at Howard University on upcoming programs at MSRI.
Schedule now available (updated 9/17/02)

summer graduate program: see program web page for further info

The first week will focus on Infinite-dimensional Algebras, Conformal Field Theory and Integrable Systems, and the second week would be devoted to Supersymmetry in Mathematics and Physics.

Discussion of the important developments in the geometric Langlands correspondence in the last few years

The field of algebraic stacks has gathered a huge momentum and is bound to become one of the main tools of the working mathematician.

The goal of this workshop is to survey recent developments growing out of the landmark work of Gross and Zagier on the
special values of Rankin L-series, and their arithmetic applications.

LOCATION & DATE ALERT !
Note: The location of this workshop has been moved to The Banff Centre in Alberta, Canada, and runs Tuesday through Saturday.

The main topics of this conference arise out of the classical theory of modular forms. The workshop will focus on recent advances
in the classification of square integrable representations of reductive p-adic groups, and on modular forms, and their
Fourier coefficients, on various reductive groups.

The purpose of the workshop will be to bring together people working on different aspects of inverse problems, to appraise the current status of development of the field, and to encourage interaction between mathematicians and scientists and engineers working directly with the applications.

This workshop will concentrate on several topics in representation theory and geometric analysis of homogeneous spaces for which techniques in integral geometry play a key role.

see program webpage at http://zeta.msri.org/calendar/programs/ProgramInfo/52/show_program

Please note: This program is open by invitation only.
See program webpage at http://zeta.msri.org/calendar/programs/ProgramInfo/12/show_program

see program webpage at http://zeta.msri.org/calendar/programs/ProgramInfo/51/show_program

The workshop will feature a number of lectures surveying the current insights into the continuum problem and its variations.

This workshop will focus on problems of a scattering theoretic nature for geometric operators on manifolds with asymptotically regular
geometries, and also on spectral theory and related questions of invertibility of such operators on singular spaces. The emphasis will be on the consideration of new problems and the dissemination of new techniques.

MSRI's 2000-01 "Hot Topics" Workshop.
NOTE: The first lecture of the workshop is the MSRI-Evans talk at 4:10 pm on Monday, April 30, in room 60 of Evans Hall on the Berkeley campus. Lectures will be in the Lawrence Hall of Science auditorium on Tuesday, May 1, and at MSRI on Wednesday through Friday.

This meeting will be joint for the first two days with the MSRI workshop on Quantization and Non-commutative Geometry, and during the three-day period April 29 - May 1 will function as a closing conference for the 2000-01 MSRI program on Operator Algebras.

These two topics have been scheduled in a joint workshop because the confluence of their research is likely to influence future advances in both fields.

Co-sponsored by the Journal of Computational Finance
Randomized algorithms have been used in finance for many years; the most famous example being the Monte Carlo techniques that have been used in many
contexts. This conference will focus on the latest advances, with talks by leading experts in academia and industry.

see workshop program

This workshop will study the spectral theory of geometric operators, including: spectral invariants, applications in conformal geometry, classification of 4-manifolds, index theory and scattering theory.

An important discipline served by the first two years of college mathematics is mathematics itself. MSRI will host this workshop to formulate curriculum policy recommendations for the first two years aimed at students majoring in mathematics.

The Free Probability section of the workshop will cover several aspects of the subject: applications to von Neumann algebras and C*-algebras of free product type, connections with random matrix theory, free stochastic processes and free stochastic integration, combinatorial approach via noncrossing partitions, free entropy.

The Non-commutative Banach Space section will cover the central concepts of the recently developed theory of operator spaces such as: exactness, local reflexivity and injectivity with applications to C* tensor products, operator algebras and operator modules. The non-commutative Lp-spaces, which play an important role in this theory, provide many points of contact with free probability.

This workshop will focus on the development of explicit and computational methods in arithmetic
geometry, as well as the complexity analysis of existing algorithms.

These two areas have had a strong interaction in the last two decades, leading to exciting and closely related mathematics.

This workshop will emphasize constructions and computational methods for combinatorial designs and the growing number of new and useful applications of designs in biology/biotechnology, computer science, information theory, and numerical finance.

This workshop will focus on number-theoretic aspects of cryptography, and will be cross-cultural, where the the cultures in question are "mathematics" and "computer science."

As part of the full-year 2000-2001 program on Operator Algebras, MSRI will host a one-week NATO
ADVANCED RESEARCH WORKSHOP on Simple C*-algebras and Non-commutative Dynamical
Systems, September 25-29, 2000.

MSRI will host a conference in honor of its Founding Director, Shing Shen Chern, this fall. The conference will represent Mathematics in a very broad
context.

This workshop introduces graduate students and other scientists to the exciting area of Operator
Algebras.

This workshop will have lecture series covering the basic areas of algorithmic number theory,
aimed at graduate students and mathematicians without extensive experience in the field.

For more information about this event, please see the original web page at:
http://msri.org/ext/pmmb/

For more information about this event, please see the original web page at:
http://www.msri.org/calendar/workshops/9900/Group_Theory/index.html

For more information about this event, please see the original web page at:
http://www.msri.org/activities/programs/9900/noncomm/hopfalg/index.html

For more information about this conference, please visit the original web page at
http://msri.org/activities/programs/9900/noncomm/vonneumann/

Please see the workshop web page at http://www.msri.org/activities/programs/9899/random/qc/ for more information.

Please see the workshop webpage at http://www.msri.org/activities/events/9899/mathcad/ for more information.

Please see the conference webpage at http://www.msri.org/activities/events/9899/materials/ for more information.

This workshop consisted of two sessions, June 6, 1998, and June 25, 1998