
Automorphic forms, Shimura varieties, Galois representations and Lfunctions
Organizers: LEAD Pierre Colmez (Institut de Mathématiques de Jussieu), Stephen Kudla (University of Toronto), Elena Mantovan (California Institute of Technology), Ariane Mézard (Institut de Mathématiques de Jussieu), Richard Taylor (Institute for Advanced Study)Lfunctions attached to Galois representations coming from algebraic geometry contain subtle arithmetic information (conjectures of Birch and SwinnertonDyer, Deligne, Beilinson, Bloch and Kato, Fontaine and PerrinRiou). Langlands has predicted the existence of a correspondence relating these Lfunctions to Lfunctions of automorphic forms which are much better understood. The workshop will focus on recent developments related to Langlands correspondence (construction of Galois representations attached to automorphic forms via the cohomology of Shimura varieties, modularity of Galois representations...) and arithmetic of special values of Lfunctions.
It will be dedicated to Michael Harris as a tribute to his enormous influence on the themes of the workshop.
Updated on Nov 10, 2014 02:59 PM PST 
Connections for Women: Dynamics on Moduli Spaces of Geometric Structures
Organizers: Virginie Charette (University of Sherbrooke), LEAD Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois)), Karin Melnick (University of Maryland), Anna Wienhard (RuprechtKarlsUniversität Heidelberg)This twoday workshop will consist of various talks given by prominent female mathematicians in the field. These will be appropriate for graduate students, postdocs, and researchers in areas related to the program. The workshop will also include a professional development session.
This workshop is open to all mathematicians.
Updated on Oct 20, 2014 12:07 PM PDT 
Introductory Workshop: Dynamics on Moduli Spaces of Geometric Structures
Organizers: Richard Canary (University of Michigan), LEAD William Goldman (University of Maryland), Ursula Hamenstädt (Universität Bonn), Alessandra Iozzi (ETH Zurich)The deformation theory of geometric structures on manifolds is a subfield of differential geometry and topology, with a heavy infusion of Lie theory. Its richness stems from close relations to dynamical systems, algebraic geometry, representation theory, Lie theory, partial differential equations, number theory, and complex analysis.
The introductory workshop will serve as an overview to the program. It aims to familiarize graduate students, postdocs, and other researchers to the major topics of the program. There will be a number of short courses.
Updated on Oct 15, 2014 05:45 PM PDT 
Connections for Women: Geometric and Arithmetic Aspects of Homogeneous Dynamics
Organizers: Elon Lindenstrauss (Hebrew University), LEAD Hee Oh (Yale University)This workshop will consist of several minicourses given by prominent female mathematicians in the field, intended for graduate students, postdocs, and researchers in areas related to the program. The workshop will also include an informal panel discussion session among female researchers on career issues. This workshop is open to all mathematicians.
Updated on Nov 13, 2014 10:53 AM PST 
Introductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics
Organizers: Manfred Einsiedler (Eidgenössische TH ZürichHönggerberg), LEAD JeanFrançois Quint (University de Bordeaux 1), Barbara Schapira (Université de Picardie (Jules Verne))This Introductory Workshop will consist of several introductory lectures and series of lectures on the recent trends in the field, given by experts in the domain. In addition, there will be several shorter talks by young researchers.
Please note that immediately preceding this workshop there is a Connections for Women workshop which will also be introductory in nature.
Updated on Oct 29, 2014 03:15 PM PDT 
Hot Topics: KadisonSinger, Interlacing Polynomials, and Beyond
Organizers: Sorin Popa (University of California), LEAD Daniel Spielman (Yale University), Nikhil Srivastava (University of California, Berkeley), Cynthia Vinzant (North Carolina State University)In a recent paper, Marcus, Spielman and Srivastava solve the KadisonSinger Problem by proving Weaver's KS2 conjecture and the Paving Conjecture. Their proof involved a technique they called the “method of interlacing families of polynomials” and a “barrier function” approach to proving bounds on the locations of the zeros of real stable polynomials. Using these techniques, they have also proved that there are infinite families of Ramanujan graphs of every degree, and they have developed a very simple proof of Bourgain and Tzafriri's Restricted Invertibility Theorem. The goal of this workshop is to help build upon this recent development by bringing together researchers from the disparate areas related to these techniques, including Functional Analysis, Spectral Graph Theory, Free Probability, Convex Optimization, Discrepancy Theory, and Real Algebraic Geometry.
Updated on Nov 08, 2014 11:29 AM PST 
Critical Issues in Mathematics Education 2015: Developmental Mathematics: For whom? Toward what ends?
Organizers: Duane Cooper (Morehouse College), Mark Hoover (University of Michigan), LEAD Robert Megginson (University of Michigan), Richard Sgarlotti (Hannahville Indian School), Katherine Stevenson (California State University, Northridge)This workshop will address the critical issue of developmental mathematics at two and fouryear colleges and universities and the broader dynamic of mathematics remediation that occurs at all levels. It will engage mathematicians, K12 teachers, mathematics educators, and administrators in a conversation about the goals of developmental mathematics and the contributions that our different professional communities make to this work. Key questions that will be addressed are:
1. How do we teach content in ways that acknowledge and leverage each student's prior learning experiences? In particular, how do we take advantage of a student's maturity while refining his or her learning habits where necessary?
2. How can developmental mathematics instruction move students through mathematics which must be relearned while simultaneously gaining momentum on more advanced mathematics (including the development of mathematical practices needed for meaningful mathematical work)?
3. What are strategies for supporting the needs of the wide range of students in developmental mathematics programsthose developing mathematical skills for life in general as well as those developing the foundation necessary to proceed towards a STEM major? How can we successfully address equity issues raised for students from groups underrepresented in STEM fields? How can developmental mathematics instruction blend synchronous and asynchronous instruction to achieve maximal efficiency and impact?
4. What is the proper balance between addressing the needs of the wide range of students mentioned in the preceding point and keeping instruction and course offerings concise?
5. What are the characteristics, training, and practices of a successful developmental mathematics teacher?
6. What support services enhance the success of a developmental mathematics program?
Updated on Aug 04, 2014 12:58 PM PDT 
Dynamics on Moduli Spaces
Organizers: Marc Burger (ETH Zurich), LEAD David Dumas (University of Illinois at Chicago), Olivier Guichard (Université de Strasbourg I (Louis Pasteur)), François Labourie (Université de Nice Sophia Antipolis), Anna Wienhard (RuprechtKarlsUniversität Heidelberg)The Research Workshop of the ``Dynamics on moduli spaces of geometric structures'' will concentrate on some of the following general interrelated themes:
(1) Geometric structures on the spaces of geometric structures which extend and generalize classical constructions on Teichmüller spaces, such as the WeilPetersoon metric, the pressure metric, the Teichmüller metric and its geodesic flow, FenchelNielsen coordinates, FockGoncharov ThursonPenner coordinates, and the symplectic and Poisson geometries
(2) Relations with harmonic maps, Riemann surfaces, complex geometry: specifically Higgs bundles, holomorphic differentials (quadratic, cubic, etc.) as parameters for representations of the fundamental group, hyperkähler and complex symplectic geometry of moduli spaces, lifts of Teichmüller geodesic flows to flat bundles of character varieties
(3) Asymptotic properties of higher Teichmüller spaces, including generalized measured geodesic laminations, CullerMorganShalen asymptotics of character varieties, degenerations of geometric structures and discrete subgroups
(4) Actions of mapping class groups and outer automorphism groups, properness criteria for Anosov representations and their generalizations, properness criteria for nondiscrete representations, chaotic actions of mapping class groups and the monodromy map from structures to representations
(5) Classification of exotic geometric structures, tameness criteria, generalizations of ending laminationtype invariants to higher rank structures, rigidity and flexibility for thin subgroups, arithmeticity conditions, and geometric transitions
Updated on Nov 17, 2014 09:49 AM PST 
Advances in Homogeneous Dynamics
Organizers: LEAD Dmitry Kleinbock (Brandeis University), Hee Oh (Yale University), Alireza Salehi Golsefidy (University of California, San Diego), Ralf Spatzier (University of Michigan)The Advances in Homogeneous Dynamics workshop will feature the speakers whose work is at the forefront of the field. There will be a panel discussion accompanied by an open problem session to lay out possible directions for the research in homogeneous dynamics. Talks will be in a broad range of topics and this will help to build more connections between researchers interested in dynamical systems, number theory and geometry. For example we hope that the involvement of the participants of the other program held at MSRI during the same academic year (Dynamics on Moduli Spaces of Geometric Structures, Spring 2015) would create new connections between the topics. There will be shorter talks presented by earlycareer researchers
Updated on Oct 20, 2014 01:13 PM PDT 
Connections for Women: Dispersive and Stochastic PDE
Organizers: LEAD Kay Kirkpatrick (University of Illinois at UrbanaChampaign), Andrea Nahmod (University of Massachusetts, Amherst)Updated on Nov 08, 2014 01:10 PM PST 
Introductory Workshop: Randomness and long time dynamics in nonlinear evolution differential equations
Organizers: Kay Kirkpatrick (University of Illinois at UrbanaChampaign), LEAD Yvan Martel (École Polytechnique), LEAD Luc ReyBellet (University of Massachusetts, Amherst), Gigliola Staffilani (Massachusetts Institute of Technology)Updated on Nov 07, 2014 02:41 PM PST 
New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems
Organizers: Jonathan Mattingly (Duke University), Andrea Nahmod (University of Massachusetts, Amherst), Pierre Raphael (Universite de Nice SophiaAntipolis), Luc ReyBellet (University of Massachusetts, Amherst), Daniel Tataru (University of California, Berkeley)Updated on May 28, 2014 03:25 PM PDT 
Connections for Women: Differential Geometry
Organizers: Christine Breiner (Fordham University), LEAD Natasa Sesum (Rutgers University)The purpose of this meeting is to help junior female researchers to become familiar with the focus topics of the main MSRI program, and also for the junior researchers to have an opportunity to get acquainted with more senior women researchers in differential geometry.
This workshop is open to all mathematicians.
Updated on Nov 08, 2014 11:44 AM PST 
Introductory Workshop: Modern Riemannian Geometry
Organizers: LEAD Tobias Colding (Massachusetts Institute of Technology), John Lott (University of California, Berkeley), Jeff Viaclovsky (University of Wisconsin)The week will be devoted to an introduction to modern techniques in Riemannian geometry. This is intended to help graduate students and younger researchers get a headstart, in order to increase their participation during the main semester programs and research lectures. To increase outreach, the week will focus on Riemannian geometry and should be largely accessible. Some minicourses on topics of recent interest will be included. The workshop will also have semiexpository lectures dealing with aspects of spaces with curvature bounded from below, since such spaces will occur throughout the semester. We expect that many Berkeley mathematicians and students will participate in the introductory workshop.
Updated on Aug 14, 2014 08:49 AM PDT 
Kähler Geometry, Einstein Metrics, and Generalizations
Organizers: Simon Donaldson (Imperial College, London), Gang Tian (Princeton University), Jeff Viaclovsky (University of Wisconsin)The workshop will integrate elements from complex differential geometry with Einstein metrics and their generalizations. The topics will include
 Existence of KählerEinstein metrics and extremal Kähler metrics. Notions of stability in algebraic geometry such as Chow stability, Kstability, bstability, and polytope stability. KählerEinstein metrics with conical singularities along a divisor.
 CalabiYau metrics and collapsed limit spaces. Connections with physics and mirror symmetry.
 Einstein metrics and their moduli spaces, εregularity, noncompact examples such as ALE, ALF, and PoincaréEinstein metrics. Generalizations of the Einstein condition, such as Bachflat metrics and Ricci solitons.
 SasakiEinstein metrics and metrics with special holonomy. New examples and classification problems.
Updated on Aug 03, 2013 09:30 AM PDT 
Geometric Flows in Riemannian and Complex Geometry
Organizers: Tobias Colding (Massachusetts Institute of Technology), LEAD John Lott (University of California, Berkeley), Natasa Sesum (Rutgers University)The workshop will concentrate on parabolic methods in both Riemannian and complex geometry. The topics will include
 Ricci flow. Analytic questions about Ricci flow in three dimensions. Possible applications of Ricci flow to 4manifold topology. Ricci flow in higher dimensions under curvature assumptions.
 KählerRicci Flow. Applications to the KählerEinstein problem. Connections to the minimal model program. Study of KählerRicci solitons and limits of KählerRicci flow.
 Mean curvature flow. Singularity analysis. Generic mean curvature flow.
 Other geometric flows such as Calabi flow and pluriclosed flow.
Updated on Jun 07, 2013 10:39 AM PDT 
Connections for Women: Geometric Group Theory
Organizers: LEAD Ruth Charney (Brandeis University), Indira Chatterji (Université d'Orléans), Mark Feighn (Rutgers University), Talia Fernos (University of North Carolina)This threeday workshop will feature talks by six prominent female mathematicians on a wide range of topics in geometric group theory. Each speaker will give two lectures, separated by a breakout session during which participants will meet in small groups to discuss ideas presented in the first lecture. The workshop is open to all mathematicians.Updated on Nov 08, 2014 10:27 AM PST 
Introductory Workshop: Geometric Group Theory
Organizers: Martin Bridson (University of Oxford), Benson Farb (University of Illinois), Zlil Sela (Hebrew University), Karen Vogtmann (Cornell University)Updated on Oct 30, 2014 08:39 AM PDT

All upcoming workshops 