# Mathematical Sciences Research Institute

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1. # WorkshopRandom Matrix Theory and its Applications II

Alexei Borodin* (California Institute of Technology), Percy Deift (Courant Institute of Mathematical Sciences), Alice Guionnet (Ecole Normale Supérieure de Lyon), Pierre van Moerbeke (Universite Catholique de Louvain and Brandeis University), and Craig A.Tracy (University of California, Davis)

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.

Dec 06, 2010
Monday
 08:30 AM - 08:45 AM Welcome 08:45 AM - 09:45 AM The Dyson Brownian Minor Process and Consecutive Minors Mark Adler 09:45 AM - 10:15 AM Tea 10:15 AM - 11:15 AM A Useful Integral Representation in ASEP Harold Widom 11:30 AM - 12:30 PM The KPZ Equation: Lattice Discretizations and Replica Herbert Spohn 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Height Distributions in One-Dimensional Surface Growth: from ASEP to KPZ Equation Tomohiro Sasamoto 03:00 PM - 03:30 PM Tea 04:10 PM - 05:00 PM Asymptotics of Random Matrices Alice Guionnet (Massachusetts Institute of Technology)
Dec 07, 2010
Tuesday
 09:00 AM - 10:00 AM TASEP and Gaussian Ensembles: Analogies and Differences Patrik Ferrari 10:00 AM - 10:30 AM Tea 10:30 AM - 11:30 AM The Continuum Random Polymer and KPZ Jeremy Quastel 11:30 AM - 12:30 PM Tracy-Widom Distributions in Experiment: Evidence in Growing Interfaces of Liquid Crystal Turbulence Kazumasa Takeuchi 12:30 PM - 02:30 PM Lunch 02:30 PM - 03:30 PM Scaling Exponents for Certain 1+1-Dimensional Directed Polymers Timo Seppalainen 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM A Combinatorial Approach to the Asymmetric Exclusion Process Lauren Williams (University of California, Berkeley) 05:00 PM - 06:30 PM Reception
Dec 08, 2010
Wednesday
 09:00 AM - 10:00 AM Universality Limits for Random Matrices via Classical Complex Analysis Doron Lubinsky 10:00 AM - 10:30 AM Tea 10:30 AM - 11:30 AM Emergent Conformal Symmetry in Dyson-Selberg Integrals Paul Wiegmann (University of Chicago) 11:30 AM - 12:30 PM TBA Nikolai Makarov (California Institute of Technology)
Dec 09, 2010
Thursday
 09:00 AM - 10:00 AM Finite-Rank Pertutbations of Real Random Matrices Balint Virag 10:00 AM - 10:30 AM Tea 10:30 AM - 11:30 AM Noncommutative Geometry and Painlevé Andrei Okounkov (Columbia University) 11:30 AM - 12:30 PM On Height Functions Nicolai Reshetikhin (University of California, Berkeley) 12:30 PM - 02:30 PM Lunch 02:30 PM - 03:30 PM Target Detection and Localization in the Presence of Noise Knut Solna 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Directed Polymers and the Quantum Toda Lattice Neil O'Connell
Dec 10, 2010
Friday
 09:00 AM - 10:00 AM What are the Eigenvalues of a Sum of Non-Commuting Random Symmetric Matrices? : A "Quantum Information" inspired Answer. Alan Edelman (Massachusetts Institute of Technology) 10:00 AM - 10:30 AM Tea 10:30 AM - 11:30 AM Global Fluctuations for $$\beta$$-Jacobi Ensembles Ioana Dumitriu 11:30 AM - 12:30 PM $$\lambda$$ Expansions of Fredholm Determinants and the Borodin-Okounkov Identity Nicholas Witte 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Scaling Limits of Beta Ensembles Benedek Valko 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Some Remarks on Random Matrix Theory and Statistics Noureddine El Karoui
2. # WorkshopSIAM/MSRI workshop on Hybrid Methodologies for Symbolic-Numeric Computation

Mark Giesbrecht (University of Waterloo), Erich Kaltofen* (North Carolina State University), Daniel Lichtblau (Wolfram Research), Seth Sullivant (North Carolina State University), and Lihong Zhi (Chinese Academy of Sciences, Beijing)

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.

Nov 17, 2010
Wednesday
 09:00 AM - 09:25 AM Opening 09:25 AM - 10:15 AM Introduction to Convex Algebraic Geometry Bernd Sturmfels (UC Berkeley Math Faculty) 10:15 AM - 10:45 AM Tea 10:45 AM - 11:10 AM Bermeja - Software for Convex Algebraic Geometry Philipp Rostalski 11:10 AM - 12:00 PM Deflation and most singular set Jonathan Hauenstein 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:20 PM Decay properties of matrix functions: an application to electronic structure computation Paola Boito 02:20 PM - 03:10 PM Geometric symbolic-numeric methods for differential and algebraic equation Gregory Reid 03:10 PM - 03:45 PM Tea 03:45 PM - 04:10 PM Applying Approximate Decomposition to Polynomial Root Finding John May 04:10 PM - 05:00 PM Talk Roger Germundsson 05:00 PM - 06:30 PM Reception
Nov 18, 2010
Thursday
 09:00 AM - 09:50 AM Computer-assisted existence and multiplicity proofs for elliptic boundary value problems Michael Plum 09:50 AM - 10:15 AM Orbital stability investigations for travelling waves in a nonlinearly supported beam Kaori Nagatou 10:15 AM - 10:45 AM Tea 10:45 AM - 11:10 AM Searching for Sparsity Wen-shin Lee 11:10 AM - 12:00 PM Finding Exceptional Sets via Regenerative Fiber Products Charles Wampler 12:00 PM - 01:30 PM Lunch 01:30 PM - 01:55 PM A numerically stable LLL reduction Damien Stehle 01:55 PM - 02:20 PM Towards L1, a quasi-linear LLL Andy Novocin 02:20 PM - 03:10 PM Numerical Methods in Algebraic Geometry Tanush Shaska 03:10 PM - 03:45 PM Tea 03:45 PM - 04:10 PM Blind Image Deconvolution via Fast Approximate GCD Zhengfeng Yang 04:10 PM - 05:00 PM Symbolic and symbolic-numeric techniques for dynamical modeling and simulation Jürgen Gerhard
Nov 19, 2010
Friday
 09:00 AM - 09:50 AM Hybrid methods for Composition and Splitting MARK SOFRONIOU 09:50 AM - 10:15 AM A symbolic-numeric approach to nonlinear dynamical system analysis Hirokazu Anai 10:15 AM - 10:45 AM Tea 10:45 AM - 11:10 AM Numerical consequences of symbolic choices in Gale Duality Daniel Bates 11:10 AM - 12:00 PM On Applications of Quantifier Elimination to LMI and the Stability Region of Numerical Schemes Mohab Safey El Din 12:00 PM - 01:30 PM Lunch 01:30 PM - 01:55 PM Certified numerical homotopy tracking Anton Leykin 01:55 PM - 02:20 PM Computing the radius of positive semidefiniteness of a multivariate real polynomial via a dual of Seidenberg's method Sharon Hutton 02:20 PM - 03:10 PM Quality Up in Polynomial Homotopy Continuation Jan Verschelde 03:10 PM - 03:45 PM Tea 03:45 PM - 04:45 PM Panel discussion Ilse Ipsen
3. # WorkshopInverse Problems: Theory and Applications

Liliana Borcea (Rice University), Carlos Kenig (University of Chicago), Maarten de Hoop (Purdue University), Peter Kuchment (Texas A&M University), Lassi Paivarinta (University of Helsinki), and Gunther Uhlmann* (University of Washington)

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.

Nov 08, 2010
Monday
 09:25 AM - 09:40 AM Welcome 09:40 AM - 10:25 AM Imaging with intensities only George Papanicolaou (Stanford University) 10:25 AM - 10:55 AM Tea 10:55 AM - 11:40 AM Hybrid Inverse Problems in Optics Guillaume Bal 11:40 AM - 12:25 PM Generalized Polarization Tensors: Mathematics and Applications Hyeonbae Kang 12:25 PM - 02:00 PM Lunch 02:00 PM - 02:30 PM Reconstructing Electromagnetic Obstacles by the Enclosure Method Ting Zhou 02:30 PM - 03:00 PM Scattering rigidity for analytic manifolds with a magnetic field Pilar Herreros 03:00 PM - 03:30 PM Tea 04:10 PM - 05:00 PM MSRI-Evans Lecture @ UC Berkeley Evens Hall Liliana Borcea (Rice University)
Nov 09, 2010
Tuesday
 09:30 AM - 10:15 AM Biomechanical Imaging in Tissue - Using Frequency Dependent Data Joyce McLaughlin 10:15 AM - 10:45 AM Tea 10:45 AM - 11:30 AM Stability of inverse problems for heat and wave equations and the collapse of the dimension Matti Lassas 11:30 AM - 12:15 PM Consecutive time reversal in wave equation imaging Frank Natterer 12:15 PM - 01:45 PM Lunch 01:45 PM - 02:30 PM Thermoacoustic and Photoacoustic Tomography with a variable continuous or discontinuous sound speed Plamen Stefanov 02:30 PM - 03:00 PM Spectral and resonant uniqueness of radial potentials Hamid Hezari 03:00 PM - 03:30 PM Tea 03:30 PM - 04:00 PM The Inverse Calderón's Problem for Schroedinger Operators on Riemann Surfaces Leo tzou (University of Arizona) 04:15 PM - 04:35 PM In Silico Manipulation of Qualitative Biological Behaviour using Sparsity Enforcing Regularization Philipp Kuegler 04:15 PM - 04:35 PM A refraction problem and Monge-Ampere type equations Cristian Gutierrez 04:35 PM - 04:55 PM A boundary value transformation for an inverse problem arising in magnetometry Dmitry Glotov 04:35 PM - 04:55 PM Uniqueness And Stability For The Inverse Conductivity Problem with Internal Data Faouzi Triki 04:55 PM - 05:15 PM Boundary Control Approach to Inverse Problems on Graphs Sergei Avdonin 04:55 PM - 05:15 PM Regularization with sparsity constraints and impedance tomography Peter Maass 05:15 PM - 07:00 PM Reception
Nov 10, 2010
Wednesday
 09:30 AM - 10:15 AM Robust principal component analysis and other advances in low-rank matrix modeling some theory and some applications Emmanuel Candes 10:15 AM - 10:45 AM Tea 10:45 AM - 11:30 AM Spectral rigidity of ellipses among $$C^{\infty}$$ plane domains with the ellipse symmetry Steven Zelditch (Northwestern University) 11:30 AM - 12:15 PM Wave propagation on asymptotically De Sitter and Anti-de Sitter spaces Andras Vasy (Stanford University) 12:15 PM - 01:45 PM Lunch 01:45 PM - 02:30 PM A phase space method for traveltime tomography Hong-Kai Zhao (University of California, Irvine) 02:30 PM - 03:00 PM Uncertainty quantification in resistor network inversion Fernando Guevara Vasquez 03:00 PM - 03:30 PM Tea 03:30 PM - 04:00 PM Resistor networks and optimal grids for electrical impedance tomography with partial boundary measurements Alexander Mamonov 04:15 PM - 04:35 PM Inverse Scattering from Cusp Isozaki Hiroshi 04:35 PM - 04:55 PM Restricted Uniqueness and Stability For a Formally Determined Hyperbolic Inverse Problem with a point source Rakesh Rakesh 04:55 PM - 05:15 PM Quantitative photoacoustic imaging of multiple coefficients with multiwavelength data Kui Ren
Nov 11, 2010
Thursday
 09:30 AM - 10:15 AM Exploring the limits of visibility in Calderon's inverse problem Kari Astala 10:15 AM - 10:45 AM Tea 10:45 AM - 11:30 AM Waveform-Diverse Moving-Target Spotlight Synthetic-Aperture Radar Margaret Cheney (Colorado State University) 11:30 AM - 12:15 PM Reconstruction in the Calderón Problem with Partial Data Adrian Nachman (University of Toronto) 12:15 PM - 01:45 PM Lunch 01:45 PM - 02:30 PM Inverse problems for the anisotropic Maxwell equations Mikko Salo 02:30 PM - 03:00 PM Propagation through trapped sets and semiclassical resolvent estimates Kiril Datchev 03:00 PM - 03:30 PM Tea 03:30 PM - 04:00 PM Some problems of thermoacoustic tomography (TAT) Linh Nguyễn 04:15 PM - 04:35 PM Inverse hyperbolic problems and black holes Gregory Eskin 04:15 PM - 04:35 PM Lipschitz stability for the electrical impedance tomography problem: the complex case Elena Beretta 04:35 PM - 04:55 PM Inverse problem for a parabolic system with three components by measurements of one component Assia Benabdallah 04:35 PM - 04:55 PM Inverse Problems with Partial Data in a Slab Xiaosheng Li 04:55 PM - 05:15 PM Stable determination of electromagnetic coefficients Pedro Pérez Caro 04:55 PM - 05:15 PM A Stability Result For Electric Impedance Tomography by Elastic Perturbation Eric Bonnetier
Nov 12, 2010
Friday
 09:30 AM - 10:15 AM Barbara Romanowicz - Recent advances in full waveform global seismic tomography of the earth's mantle 10:15 AM - 10:45 AM Tea 10:45 AM - 11:30 AM A Model Error Approximation Method for NonLinear Tomography Problems Simon Arridge 11:30 AM - 12:15 PM Transmission Eigenvalues in Inverse Scattering Theory Fioralba Cakoni (University of Delaware) 12:15 PM - 01:45 PM Lunch 01:45 PM - 02:30 PM Decoupling of modes for the elastic wave equation in media of limited smoothness Hart Smith (University of Washington) 02:30 PM - 03:15 PM Mathematical Problems in the diagnosis and treatment of disease David Isaacson 03:15 PM - 03:45 PM Tea
4. # WorkshopHot Topics: Kervaire invariant

Mike Hill (University of Virginia), Michael Hopkins (Harvard University), and Douglas C. Ravanel* (University of Rochester)

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.

Oct 25, 2010
Monday
 09:25 AM - 09:40 AM Welcome 09:40 AM - 10:40 AM History of the Kervaire Invariant One Problem John Jones (University of Warwick) 10:40 AM - 11:10 AM Tea 11:10 AM - 12:10 PM Construction of the Kervaire Classes John Jones (University of Warwick) 12:10 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM An Overview of the proof Douglas Ravenel (University of Rochester) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Introduction to Equivariant Homotopy I J. May 04:30 PM - 05:50 PM Reception
Oct 26, 2010
Tuesday
 09:30 AM - 10:30 AM Introduction to Equivariant Homotopy II John Greenlees (University of Sheffield) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Introduction to the Slice Tower: The Slice Theorem Michael Hill (University of Virginia) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM The Homology of Slice Cells: the Gap Theorem Teena Gerhardt (Michigan State University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM The Slice Spectral Sequence for $$C_2$$ and $$C_4$$ Igor Kriz
Oct 27, 2010
Wednesday
 09:30 AM - 10:30 AM The norm functor and $$MU^{((G))}$$ Haynes Miller (Massachusetts Institute of Technology) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Distinguished Classes in the Underlying Homotopy of $$MU^{((G))}$$ Nitya Kitchloo (Johns Hopkins University)
Oct 28, 2010
Thursday
 09:00 AM - 10:00 AM Introduction to the Adams-Novikov Spectral Sequence: Ravenel's Proof for Primes > 3 Mark Behrens (Massachusetts Institute of Technology) 10:00 AM - 10:30 AM Tea 10:30 AM - 11:30 AM Proof of the Detection Theorem Douglas Ravenel (University of Rochester) 11:30 AM - 12:30 PM Differentials in the Slice Spectral Sequence: the Periodicity Theorem Po Hu (Wayne State University) 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Q & A Session Michael Hill (University of Virginia), Michael Hopkins (Harvard University), Douglas Ravenel (University of Rochester) 03:00 PM - 03:30 PM Tea
Oct 29, 2010
Friday
 09:30 AM - 10:30 AM The Homotopy Fixed Points Theorem Andrew Blumberg (University of Texas) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM From the Reduction Theorem to the Slice Theorem Daniel Dugger 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Proof of the Reduction Theorem I Michael Hill (University of Virginia) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Proof of the Reduction Theorem II Michael Hopkins (Harvard University)
5. # WorkshopConnections for Women: An Introduction to Random Matrices

Estelle Basor (American Institute of Mathematics, Palo Alto), Alice Guionnet* (Ecole Normale Supérieure de Lyon), and Irina Nenciu (University of Illinois at Chicago)

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.

Sep 20, 2010
Monday
 09:25 AM - 09:40 AM Welcome 09:40 AM - 10:40 AM Universality in the bulk of the spectrum for Hermitian random matrices Sandrine Péché 10:40 AM - 11:10 AM Tea 11:10 AM - 12:10 PM TBD Irina Nenciu (University of Illinois at Chicago) 12:10 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Universality results for hamiltonian perrturbations of Hamiltonian PDEs: the 2 component case Tamara Grava 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Fluctuations and Large Deviations for Extreme Eigenvalues of Deformed Random Matrices Mylene Maida 04:35 PM - 05:45 PM Panel (Commons)
Sep 21, 2010
Tuesday
 09:30 AM - 10:30 AM Sparse regular random graphs: spectral density and eigenvectors Ioana Dumitriu 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM The Single Ring Theorem Alice Guionnet (Massachusetts Institute of Technology) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Free convolution with a semi-circular distribution and eigenvalues of spiked deformations of Wigner matrices Mireille Capitaine 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Central limit theorem for linear eigenvalue statistics of diluted random matrices Mariya Shcherbyna
6. # WorkshopRandom Matrix Theory and Its Applications I

Jinho Baik (University of Michigan), Percy Deift (Courant Institute of Mathematical Sciences), Alexander Its* (Indiana University-Purdue University Indianapolis), Kenneth McLaughlin (University of Arizona), and Craig A. Tracy (University of California, Davis)

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.

Sep 13, 2010
Monday
 09:25 AM - 09:40 AM Welcome 09:40 AM - 10:20 AM Perturbed Hankel Determinants: Applications to the Information Theory of MIMO Wireless Communications Yang Chen 10:20 AM - 10:50 AM Tea 10:50 AM - 11:30 AM Geodesic distance in planar maps: from matrix models to trees Philippe di Francesco (University of Illinois at Urbana-Champaign) 11:40 AM - 12:20 PM Exact results in the Random Matrix Theory approach to the theory of chaotic cavities Francesco Mezzadri 12:20 PM - 02:15 PM Lunch 02:15 PM - 02:55 PM Genetics and large random matrices Nicholas Patterson 02:55 PM - 03:45 PM Tea 04:10 PM - 05:10 PM Beyond the Gaussian Universality Class (at UC Berkeley-60 Evans Hall) Ivan Corwin (Columbia University)
Sep 14, 2010
Tuesday
 09:30 AM - 10:10 AM Planar algebras and the Potts model on random graphs Alice Guionnet (Massachusetts Institute of Technology) 10:10 AM - 10:40 AM Tea 10:40 AM - 11:20 AM Limiting distributions for TASEP, Last Passage Percolation and a few words on universality in KPZ Sandrine Péché 11:30 AM - 12:10 PM Extreme gaps in the spectrum of Random Matrices Gerard Ben Arous 12:10 PM - 02:00 PM Lunch 02:00 PM - 02:40 PM Cluster Expansions, Caustics and Counting Graphs Nicholas Ercolani 02:50 PM - 03:30 PM Orthogonal and symplectic matrix models: universality and other properties Mariya Shcherbyna 03:30 PM - 04:00 PM Tea 04:00 PM - 04:40 PM Beta ensembles on the line, edge universality Brian Rider (University of Colorado) 04:40 PM - 05:50 PM Reception
Sep 15, 2010
Wednesday
 09:30 AM - 10:10 AM Determinant expansions for perturbations of finite Toeplitz matrices Estelle Basor (AIM - American Institute of Mathematics) 10:10 AM - 10:40 AM Tea 10:40 AM - 11:20 AM Aspects of Toeplitz and Hankel determinants Igor Krasovsky 11:30 AM - 12:10 PM Universality in Non-Hermitian RMT Gernot Akemann
Sep 16, 2010
Thursday
 09:30 AM - 10:10 AM Universality of Wigner random matrices via the four moment theorem Terence Tao (University of California, Los Angeles) 10:10 AM - 10:40 AM Tea 10:40 AM - 11:20 AM Universality of Random Matrices, Dyson Brownian Motion and Local Semicircle Law Horng-Tzer Yau 11:30 AM - 12:10 PM (Random) Tri-Diagonal, Doubly Stochastic Matrices, Orthogonal Polynomials and Alternating Permutations Persi Diaconis (Stanford University) 12:10 PM - 02:30 PM Lunch 02:30 PM - 03:10 PM Maximal eigenvalue in beta ensembles : large deviations and left tail of Tracy-Widom laws Gaëtan BOROT 03:10 PM - 04:00 PM Tea 04:00 PM - 04:40 PM Painleve Equations - Nonlinear Special Functions Peter Clarkson
Sep 17, 2010
Friday
 09:30 AM - 10:10 AM TBD Pierre van Moerbeke 10:10 AM - 10:40 AM Tea 10:40 AM - 11:20 AM Vector equilibrium problem for the two-matrix model Arnoldus Kuijlaars 11:30 AM - 12:10 PM Universality Behviour of Solutions of Hamiltonian PDEs in Critical Regimes Tamara Grava 12:10 PM - 02:30 PM Lunch 02:30 PM - 03:10 PM Asymptotics for the Korteweg-de Vries equation and perturbations using Riemann-Hilbert methods Tom Claeys 03:10 PM - 04:00 PM Tea 04:00 PM - 04:40 PM Six-vertex model of statistical mechanics and random matrix models Pavel Bleher (Indiana University--Purdue University)
7. # WorkshopIntroductory Workshop on Inverse Problems and Applications

Margaret Cheney (Rensselaer Polytechnic Institute), Gunther Uhlmann* (University of Washington), Michael Vogelius( Rutgers), and Maciej Zworski (University of California, Berkeley)

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.

Aug 23, 2010
Monday
 09:15 AM - 09:30 AM Introduction 09:30 AM - 10:30 AM 30 Years of Calderón's Problem I Gunther Uhlmann (University of Washington) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Introduction to Radar Imaging I Margaret Cheney (Colorado State University) 12:00 PM - 02:00 AM Lunch 02:00 PM - 03:00 PM An Introduction to Magnetic Resonance Imaging I Charles Epstein (University of Pennsylvania) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Hybrid Methods of Medical Imaging I Peter Kuchment (Texas A & M University)
Aug 24, 2010
Tuesday
 09:30 AM - 10:30 AM Hybrid Methods of Medical Imaging II Peter Kuchment (Texas A & M University) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM An Introduction to Magnetic Resonance Imaging II Charles Epstein (University of Pennsylvania) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Introduction to Radar Imaging II Margaret Cheney (Colorado State University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM 30 Years of Calderón's Problem II Gunther Uhlmann (University of Washington)
Aug 25, 2010
Wednesday
 09:30 AM - 10:30 AM Introduction to Radar Imaging III Margaret Cheney (Colorado State University) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Imaging in Random Waveguides I Liliana Borcea (Rice University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Electromagnetic Imaging and the Effect of Small Inhomogeneities I Michael Vogelius (Rutgers University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM An Introduction to Magnetic Resonance Imaging III Charles Epstein (University of Pennsylvania)
Aug 26, 2010
Thursday
 09:30 AM - 10:30 AM Electromagnetic Imaging and the Effect of Small Inhomogeneities II Michael Vogelius (Rutgers University) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Imaging in Random Waveguides II Liliana Borcea (Rice University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Hybrid Methods of Medical Imaging III Peter Kuchment (Texas A & M University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM 30 Years of Calderón's Problem III Gunther Uhlmann (University of Washington)
Aug 27, 2010
Friday
 09:30 AM - 10:30 AM Imaging in Random Waveguides III Liliana Borcea (Rice University) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Hybrid Methods of Medical Imaging IV Peter Kuchment (Texas A & M University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM 30 Years of Calderón's Problem IV Gunther Uhlmann (University of Washington) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Electromagnetic Imaging and the Effect of Small Inhomogeneities III Michael Vogelius (Rutgers University)
8. # WorkshopConnections for Women: Inverse Problems and Applications

Tanya Christiansen (University of Missouri, Columbia), Alison Malcolm (Massachusetts Institute of Technology), Shari Moskow (Drexel University), Chrysoula Tsogka (University of Crete), and Gunther Uhlmann* (University of Washington)

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.

Aug 19, 2010
Thursday
 09:30 AM - 10:30 AM Introduction to Microlocal Analysis I Tanya Christiansen (University of Missouri) 11:00 AM - 12:00 PM Introduction to Microlocal Analysis II Tanya Christiansen (University of Missouri) 02:00 PM - 03:00 PM An Introduction to Asymptotic Expansions for Small Inhomogeneities in EIT and Related Problems I Shari Moskow 03:30 PM - 04:30 PM Coherent Imaging in Random Media I Chrysoula Tsogka (University of Crete)
Aug 20, 2010
Friday
 09:30 AM - 10:30 AM Coherent Imaging in Random Media II Chrysoula Tsogka (University of Crete) 11:00 AM - 12:00 PM An Introduction to Asymptotic Expansions for Small Inhomogeneities in EIT and Related Problems II Shari Moskow 02:00 PM - 03:00 PM Introduction to Seismic Imaging I Alison Malcolm (Massachusetts Institute of Technology) 03:30 PM - 04:30 PM Introduction to Seismic Imaging I I Alison Malcolm (Massachusetts Institute of Technology)
9. # Summer Graduate SchoolAlgebraic, Geometric, and Combinatorial Methods for Optimization

Matthias Köppe (University of California, Davis) and Jiawang Nie (University of California, San Diego)

This workshop is intended to introduce to graduate students the main ideas of algebraic, geometric and combinatorial methods in global optimization. We emphasize the major developments in the past few years from two viewpoints. The first one is that of the interaction of semidefinite programming and real algebraic geometry and includes topics such as linear matrix inequalities, positive polynomials, and sums of squares. The second viewpoint is that of primal methods and generating function methods in integer linear and nonlinear optimization.

Aug 02, 2010
Monday
 09:30 AM - 10:30 AM Nie Talk 1 Jiawang Nie (University of California) 11:00 AM - 12:00 PM Blekherman Talk 1 Grigoriy Blekherman 02:00 PM - 03:00 PM Nie Talk 2 Jiawang Nie (University of California)
Aug 03, 2010
Tuesday
 09:30 AM - 10:30 AM Blekherman Talk 2 Grigoriy Blekherman 11:00 AM - 12:00 PM Nie Talk 3 Jiawang Nie (University of California) 02:00 PM - 03:00 PM Blekherman Talk 3 Grigoriy Blekherman
Aug 04, 2010
Wednesday
 09:30 AM - 10:30 AM Nie Talk 4 Jiawang Nie (University of California) 11:00 AM - 12:00 PM Blekherman Talk 4 Grigoriy Blekherman
Aug 05, 2010
Thursday
 09:30 AM - 10:30 AM Nie Talk 5 Jiawang Nie (University of California) 11:00 AM - 12:00 PM Blekherman Talk 5 Grigoriy Blekherman 02:00 PM - 03:00 PM Nie Talk 6 Jiawang Nie (University of California)
Aug 06, 2010
Friday
 09:30 AM - 10:30 AM Blekherman Talk 6 Grigoriy Blekherman 11:00 AM - 12:00 PM Nie Talk 7 Jiawang Nie (University of California) 02:00 PM - 03:00 PM Blekherman Talk 7 Grigoriy Blekherman
Aug 09, 2010
Monday
 09:30 AM - 10:00 AM Onn Talk 1 Shmuel Onn 11:00 AM - 12:00 PM Koppe Talk 1 Matthias Köppe 02:00 PM - 03:00 PM Onn Talk 2 Shmuel Onn
Aug 10, 2010
Tuesday
 09:30 AM - 10:00 AM Koppe Talk 2 Matthias Köppe 11:00 AM - 12:00 PM Onn Talk 3 Shmuel Onn 02:00 PM - 03:00 PM Koppe Talk 3 Matthias Köppe
Aug 11, 2010
Wednesday
 09:00 AM - 10:00 AM Onn Talk 4 Shmuel Onn 11:00 AM - 12:00 PM Koppe Talk 4 Matthias Köppe
Aug 12, 2010
Thursday
 09:30 AM - 10:00 AM Koppe Talk 5 Matthias Köppe 11:00 AM - 12:00 PM Onn Talk 5 Shmuel Onn 02:00 PM - 03:00 PM Onn Talk 6 Shmuel Onn
Aug 13, 2010
Friday
 09:30 AM - 10:00 AM Koppe Talk 6 Matthias Köppe 11:00 AM - 12:00 PM Onn Talk 7 Shmuel Onn 02:00 PM - 03:00 PM Koppe Talk 7 Matthias Köppe