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Workshop Random 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.
Show All Collapse Dec 06, 2010
Monday08:30 AM - 08:45 AMWelcome
08:45 AM - 09:45 AMThe Dyson Brownian Minor Process and Consecutive Minors
Mark Adler09:45 AM - 10:15 AMTea
10:15 AM - 11:15 AMA Useful Integral Representation in ASEP
Harold Widom11:30 AM - 12:30 PMThe KPZ Equation: Lattice Discretizations and Replica
Herbert Spohn12:30 PM - 02:00 PMLunch
02:00 PM - 03:00 PMHeight Distributions in One-Dimensional Surface Growth: from ASEP to KPZ Equation
Tomohiro Sasamoto03:00 PM - 03:30 PMTea
04:10 PM - 05:00 PMAsymptotics of Random Matrices
Alice Guionnet (Massachusetts Institute of Technology)Dec 07, 2010
Tuesday09:00 AM - 10:00 AMTASEP and Gaussian Ensembles: Analogies and Differences
Patrik Ferrari10:00 AM - 10:30 AMTea
10:30 AM - 11:30 AMThe Continuum Random Polymer and KPZ
Jeremy Quastel (University of Toronto)11:30 AM - 12:30 PMTracy-Widom Distributions in Experiment: Evidence in Growing Interfaces of Liquid Crystal Turbulence
Kazumasa Takeuchi12:30 PM - 02:30 PMLunch
02:30 PM - 03:30 PMScaling Exponents for Certain 1+1-Dimensional Directed Polymers
Timo Seppalainen03:30 PM - 04:00 PMTea
04:00 PM - 05:00 PMA Combinatorial Approach to the Asymmetric Exclusion Process
Lauren Williams (University of California, Berkeley)05:00 PM - 06:30 PMReception
Dec 08, 2010
Wednesday09:00 AM - 10:00 AMUniversality Limits for Random Matrices via Classical Complex Analysis
Doron Lubinsky10:00 AM - 10:30 AMTea
10:30 AM - 11:30 AMEmergent Conformal Symmetry in Dyson-Selberg Integrals
Paul Wiegmann (University of Chicago)11:30 AM - 12:30 PMTBA
Nikolai Makarov (California Institute of Technology)Dec 09, 2010
Thursday09:00 AM - 10:00 AMFinite-Rank Pertutbations of Real Random Matrices
Balint Virag10:00 AM - 10:30 AMTea
10:30 AM - 11:30 AMNoncommutative Geometry and Painlevé
Andrei Okounkov (Columbia University)11:30 AM - 12:30 PMOn Height Functions
Nicolai Reshetikhin (University of California, Berkeley)12:30 PM - 02:30 PMLunch
02:30 PM - 03:30 PMTarget Detection and Localization in the Presence of Noise
Knut Solna03:30 PM - 04:00 PMTea
04:00 PM - 05:00 PMDirected Polymers and the Quantum Toda Lattice
Neil O'ConnellDec 10, 2010
Friday09:00 AM - 10:00 AMWhat 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 AMTea
10:30 AM - 11:30 AMGlobal Fluctuations for \(\beta\)-Jacobi Ensembles
Ioana Dumitriu11:30 AM - 12:30 PM\(\lambda\) Expansions of Fredholm Determinants and the Borodin-Okounkov Identity
Nicholas Witte12:30 PM - 02:00 PMLunch
02:00 PM - 03:00 PMScaling Limits of Beta Ensembles
Benedek Valko03:00 PM - 03:30 PMTea
03:30 PM - 04:30 PMSome Remarks on Random Matrix Theory and Statistics
Noureddine El Karoui (University of California, Berkeley) -
Workshop SIAM/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.
Show All Collapse Nov 17, 2010
Wednesday09:00 AM - 09:25 AMOpening
09:25 AM - 10:15 AMIntroduction to Convex Algebraic Geometry
Bernd Sturmfels (University of California, Berkeley)10:15 AM - 10:45 AMTea
10:45 AM - 11:10 AMBermeja - Software for Convex Algebraic Geometry
Philipp Rostalski11:10 AM - 12:00 PMDeflation and most singular set
Jonathan Hauenstein12:00 PM - 01:30 PMLunch
01:30 PM - 02:20 PMDecay properties of matrix functions: an application to electronic structure computation
Paola Boito02:20 PM - 03:10 PMGeometric symbolic-numeric methods for differential and algebraic equation
Gregory Reid03:10 PM - 03:45 PMTea
03:45 PM - 04:10 PMApplying Approximate Decomposition to Polynomial Root Finding
John May04:10 PM - 05:00 PMTalk
Roger Germundsson05:00 PM - 06:30 PMReception
Nov 18, 2010
Thursday09:00 AM - 09:50 AMComputer-assisted existence and multiplicity proofs for elliptic boundary value problems
Michael Plum09:50 AM - 10:15 AMOrbital stability investigations for travelling waves in a nonlinearly supported beam
Kaori Nagatou10:15 AM - 10:45 AMTea
10:45 AM - 11:10 AMSearching for Sparsity
Wen-shin Lee11:10 AM - 12:00 PMFinding Exceptional Sets via Regenerative Fiber Products
Charles Wampler12:00 PM - 01:30 PMLunch
01:30 PM - 01:55 PMA numerically stable LLL reduction
Damien Stehle01:55 PM - 02:20 PMTowards L1, a quasi-linear LLL
Andy Novocin02:20 PM - 03:10 PMNumerical Methods in Algebraic Geometry
Tanush Shaska03:10 PM - 03:45 PMTea
03:45 PM - 04:10 PMBlind Image Deconvolution via Fast Approximate GCD
Zhengfeng Yang04:10 PM - 05:00 PMSymbolic and symbolic-numeric techniques for dynamical modeling and simulation
Jürgen GerhardNov 19, 2010
Friday09:00 AM - 09:50 AMHybrid methods for Composition and Splitting
MARK SOFRONIOU09:50 AM - 10:15 AMA symbolic-numeric approach to nonlinear dynamical system analysis
Hirokazu Anai10:15 AM - 10:45 AMTea
10:45 AM - 11:10 AMNumerical consequences of symbolic choices in Gale Duality
Daniel Bates11:10 AM - 12:00 PMOn Applications of Quantifier Elimination to LMI and the Stability Region of Numerical Schemes
Mohab Safey El Din12:00 PM - 01:30 PMLunch
01:30 PM - 01:55 PMCertified numerical homotopy tracking
Anton Leykin (Georgia Institute of Technology)01:55 PM - 02:20 PMComputing the radius of positive semidefiniteness of a multivariate real polynomial via a dual of Seidenberg's method
Sharon Hutton02:20 PM - 03:10 PMQuality Up in Polynomial Homotopy Continuation
Jan Verschelde03:10 PM - 03:45 PMTea
03:45 PM - 04:45 PMPanel discussion
Ilse Ipsen -
Workshop Inverse 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.
Show All Collapse Nov 08, 2010
Monday09:25 AM - 09:40 AMWelcome
09:40 AM - 10:25 AMImaging with intensities only
George Papanicolaou (Stanford University)10:25 AM - 10:55 AMTea
10:55 AM - 11:40 AMHybrid Inverse Problems in Optics
Guillaume Bal11:40 AM - 12:25 PMGeneralized Polarization Tensors: Mathematics and Applications
Hyeonbae Kang12:25 PM - 02:00 PMLunch
02:00 PM - 02:30 PMReconstructing Electromagnetic Obstacles by the Enclosure Method
Ting Zhou02:30 PM - 03:00 PMScattering rigidity for analytic manifolds with a magnetic field
Pilar Herreros (Pontificia Universidad Católica de Chile)03:00 PM - 03:30 PMTea
04:10 PM - 05:00 PMMSRI-Evans Lecture @ UC Berkeley Evens Hall
Liliana Borcea (Rice University)Nov 09, 2010
Tuesday09:30 AM - 10:15 AMBiomechanical Imaging in Tissue - Using Frequency Dependent Data
Joyce McLaughlin10:15 AM - 10:45 AMTea
10:45 AM - 11:30 AMStability of inverse problems for heat and wave equations and the collapse of the dimension
Matti Lassas11:30 AM - 12:15 PMConsecutive time reversal in wave equation imaging
Frank Natterer12:15 PM - 01:45 PMLunch
01:45 PM - 02:30 PMThermoacoustic and Photoacoustic Tomography with a variable continuous or discontinuous sound speed
Plamen Stefanov02:30 PM - 03:00 PMSpectral and resonant uniqueness of radial potentials
Hamid Hezari (University of California, Irvine)03:00 PM - 03:30 PMTea
03:30 PM - 04:00 PMThe Inverse Calderón's Problem for Schroedinger Operators on Riemann Surfaces
Leo tzou (University of Sydney)04:15 PM - 04:35 PMIn Silico Manipulation of Qualitative Biological Behaviour using Sparsity Enforcing Regularization
Philipp Kuegler04:15 PM - 04:35 PMA refraction problem and Monge-Ampere type equations
Cristian Gutierrez04:35 PM - 04:55 PMA boundary value transformation for an inverse problem arising in magnetometry
Dmitry Glotov04:35 PM - 04:55 PMUniqueness And Stability For The Inverse Conductivity Problem with Internal Data
Faouzi Triki04:55 PM - 05:15 PMBoundary Control Approach to Inverse Problems on Graphs
Sergei Avdonin04:55 PM - 05:15 PMRegularization with sparsity constraints and impedance tomography
Peter Maass05:15 PM - 07:00 PMReception
Nov 10, 2010
Wednesday09:30 AM - 10:15 AMRobust principal component analysis and other advances in low-rank matrix modeling some theory and some applications
Emmanuel Candes (Stanford University)10:15 AM - 10:45 AMTea
10:45 AM - 11:30 AMSpectral rigidity of ellipses among \(C^{\infty}\) plane domains with the ellipse symmetry
Steven Zelditch (Northwestern University)11:30 AM - 12:15 PMWave propagation on asymptotically De Sitter and Anti-de Sitter spaces
Andras Vasy (Stanford University)12:15 PM - 01:45 PMLunch
01:45 PM - 02:30 PMA phase space method for traveltime tomography
Hong-Kai Zhao (University of California, Irvine)02:30 PM - 03:00 PMUncertainty quantification in resistor network inversion
Fernando Guevara Vasquez (University of Utah)03:00 PM - 03:30 PMTea
03:30 PM - 04:00 PMResistor networks and optimal grids for electrical impedance tomography with partial boundary measurements
Alexander Mamonov (University of Houston)04:15 PM - 04:35 PMInverse Scattering from Cusp
Isozaki Hiroshi04:35 PM - 04:55 PMRestricted Uniqueness and Stability For a Formally Determined Hyperbolic Inverse Problem with a point source
Rakesh Rakesh04:55 PM - 05:15 PMQuantitative photoacoustic imaging of multiple coefficients with multiwavelength data
Kui RenNov 11, 2010
Thursday09:30 AM - 10:15 AMExploring the limits of visibility in Calderon's inverse problem
Kari Astala10:15 AM - 10:45 AMTea
10:45 AM - 11:30 AMWaveform-Diverse Moving-Target Spotlight Synthetic-Aperture Radar
Margaret Cheney (Colorado State University)11:30 AM - 12:15 PMReconstruction in the Calderón Problem with Partial Data
Adrian Nachman (University of Toronto)12:15 PM - 01:45 PMLunch
01:45 PM - 02:30 PMInverse problems for the anisotropic Maxwell equations
Mikko Salo02:30 PM - 03:00 PMPropagation through trapped sets and semiclassical resolvent estimates
Kiril Datchev (Purdue University)03:00 PM - 03:30 PMTea
03:30 PM - 04:00 PMSome problems of thermoacoustic tomography (TAT)
Linh Nguyễn (University of Idaho)04:15 PM - 04:35 PMInverse hyperbolic problems and black holes
Gregory Eskin04:15 PM - 04:35 PMLipschitz stability for the electrical impedance tomography problem: the complex case
Elena Beretta04:35 PM - 04:55 PMInverse problem for a parabolic system with three components by measurements of one component
Assia Benabdallah04:35 PM - 04:55 PMInverse Problems with Partial Data in a Slab
Xiaosheng Li04:55 PM - 05:15 PMStable determination of electromagnetic coefficients
Pedro Pérez Caro04:55 PM - 05:15 PMA Stability Result For Electric Impedance Tomography by Elastic Perturbation
Eric BonnetierNov 12, 2010
Friday09:30 AM - 10:15 AMBarbara Romanowicz - Recent advances in full waveform global seismic tomography of the earth's mantle
10:15 AM - 10:45 AMTea
10:45 AM - 11:30 AMA Model Error Approximation Method for NonLinear Tomography Problems
Simon Arridge11:30 AM - 12:15 PMTransmission Eigenvalues in Inverse Scattering Theory
Fioralba Cakoni (University of Delaware)12:15 PM - 01:45 PMLunch
01:45 PM - 02:30 PMDecoupling of modes for the elastic wave equation in media of limited smoothness
Hart Smith (University of Washington)02:30 PM - 03:15 PMMathematical Problems in the diagnosis and treatment of disease
David Isaacson03:15 PM - 03:45 PMTea
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Workshop Hot 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.
Show All Collapse Oct 25, 2010
Monday09:25 AM - 09:40 AMWelcome
09:40 AM - 10:40 AMHistory of the Kervaire Invariant One Problem
John Jones (University of Warwick)10:40 AM - 11:10 AMTea
11:10 AM - 12:10 PMConstruction of the Kervaire Classes
John Jones (University of Warwick)12:10 PM - 02:00 PMLunch
02:00 PM - 03:00 PMAn Overview of the proof
Douglas Ravenel (University of Rochester)03:00 PM - 03:30 PMTea
03:30 PM - 04:30 PMIntroduction to Equivariant Homotopy I
J. May04:30 PM - 05:50 PMReception
Oct 26, 2010
Tuesday09:30 AM - 10:30 AMIntroduction to Equivariant Homotopy II
John Greenlees (University of Sheffield)10:30 AM - 11:00 AMTea
11:00 AM - 12:00 PMIntroduction to the Slice Tower: The Slice Theorem
Michael Hill (University of California, Los Angeles)12:00 PM - 02:00 PMLunch
02:00 PM - 03:00 PMThe Homology of Slice Cells: the Gap Theorem
Teena Gerhardt (Michigan State University)03:00 PM - 03:30 PMTea
03:30 PM - 04:30 PMThe Slice Spectral Sequence for $$C_2$$ and $$C_4$$
Igor KrizOct 27, 2010
Wednesday09:30 AM - 10:30 AMThe norm functor and $$MU^{((G))}$$
Haynes Miller (Massachusetts Institute of Technology)10:30 AM - 11:00 AMTea
11:00 AM - 12:00 PMDistinguished Classes in the Underlying Homotopy of $$MU^{((G))}$$
Nitya Kitchloo (Johns Hopkins University)Oct 28, 2010
Thursday09:00 AM - 10:00 AMIntroduction to the Adams-Novikov Spectral Sequence: Ravenel's Proof for Primes > 3
Mark Behrens (Massachusetts Institute of Technology)10:00 AM - 10:30 AMTea
10:30 AM - 11:30 AMProof of the Detection Theorem
Douglas Ravenel (University of Rochester)11:30 AM - 12:30 PMDifferentials in the Slice Spectral Sequence: the Periodicity Theorem
Po Hu (Wayne State University)12:30 PM - 02:00 PMLunch
02:00 PM - 03:00 PMQ & A Session
Michael Hill (University of California, Los Angeles), Michael Hopkins (Harvard University), Douglas Ravenel (University of Rochester)03:00 PM - 03:30 PMTea
Oct 29, 2010
Friday09:30 AM - 10:30 AMThe Homotopy Fixed Points Theorem
Andrew Blumberg (University of Texas)10:30 AM - 11:00 AMTea
11:00 AM - 12:00 PMFrom the Reduction Theorem to the Slice Theorem
Daniel Dugger12:00 PM - 02:00 PMLunch
02:00 PM - 03:00 PMProof of the Reduction Theorem I
Michael Hill (University of California, Los Angeles)03:00 PM - 03:30 PMTea
03:30 PM - 04:30 PMProof of the Reduction Theorem II
Michael Hopkins (Harvard University) -
Workshop Connections 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.
Show All Collapse Sep 20, 2010
Monday09:25 AM - 09:40 AMWelcome
09:40 AM - 10:40 AMUniversality in the bulk of the spectrum for Hermitian random matrices
Sandrine Péché10:40 AM - 11:10 AMTea
11:10 AM - 12:10 PMTBD
Irina Nenciu (University of Illinois at Chicago)12:10 PM - 02:00 PMLunch
02:00 PM - 03:00 PMUniversality results for hamiltonian perrturbations of Hamiltonian PDEs: the 2 component case
Tamara Grava03:00 PM - 03:30 PMTea
03:30 PM - 04:30 PMFluctuations and Large Deviations for Extreme Eigenvalues of Deformed Random Matrices
Mylene Maida04:35 PM - 05:45 PMPanel (Commons)
Sep 21, 2010
Tuesday09:30 AM - 10:30 AMSparse regular random graphs: spectral density and eigenvectors
Ioana Dumitriu10:30 AM - 11:00 AMTea
11:00 AM - 12:00 PMThe Single Ring Theorem
Alice Guionnet (Massachusetts Institute of Technology)12:00 PM - 02:00 PMLunch
02:00 PM - 03:00 PMFree convolution with a semi-circular distribution and eigenvalues of spiked deformations of Wigner matrices
Mireille Capitaine03:00 PM - 03:30 PMTea
03:30 PM - 04:30 PMCentral limit theorem for linear eigenvalue statistics of diluted random matrices
Mariya Shcherbyna -
Workshop Random 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.
Show All Collapse Sep 13, 2010
Monday09:25 AM - 09:40 AMWelcome
09:40 AM - 10:20 AMPerturbed Hankel Determinants: Applications to the Information Theory of MIMO Wireless Communications
Yang Chen10:20 AM - 10:50 AMTea
10:50 AM - 11:30 AMGeodesic distance in planar maps: from matrix models to trees
Philippe di Francesco (University of Illinois at Urbana-Champaign)11:40 AM - 12:20 PMExact results in the Random Matrix Theory approach to the theory of chaotic cavities
Francesco Mezzadri12:20 PM - 02:15 PMLunch
02:15 PM - 02:55 PMGenetics and large random matrices
Nicholas Patterson02:55 PM - 03:45 PMTea
04:10 PM - 05:10 PMBeyond the Gaussian Universality Class <b>(at UC Berkeley-60 Evans Hall)</b>
Ivan Corwin (Columbia University)Sep 14, 2010
Tuesday09:30 AM - 10:10 AMPlanar algebras and the Potts model on random graphs
Alice Guionnet (Massachusetts Institute of Technology)10:10 AM - 10:40 AMTea
10:40 AM - 11:20 AMLimiting distributions for TASEP, Last Passage Percolation and a few words on universality in KPZ
Sandrine Péché11:30 AM - 12:10 PMExtreme gaps in the spectrum of Random Matrices
Gerard Ben Arous12:10 PM - 02:00 PMLunch
02:00 PM - 02:40 PMCluster Expansions, Caustics and Counting Graphs
Nicholas Ercolani02:50 PM - 03:30 PMOrthogonal and symplectic matrix models: universality and other properties
Mariya Shcherbyna03:30 PM - 04:00 PMTea
04:00 PM - 04:40 PMBeta ensembles on the line, edge universality
Brian Rider (University of Colorado)04:40 PM - 05:50 PMReception
Sep 15, 2010
Wednesday09:30 AM - 10:10 AMDeterminant expansions for perturbations of finite Toeplitz matrices
Estelle Basor (AIM - American Institute of Mathematics)10:10 AM - 10:40 AMTea
10:40 AM - 11:20 AMAspects of Toeplitz and Hankel determinants
Igor Krasovsky11:30 AM - 12:10 PMUniversality in Non-Hermitian RMT
Gernot AkemannSep 16, 2010
Thursday09:30 AM - 10:10 AMUniversality of Wigner random matrices via the four moment theorem
Terence Tao (University of California, Los Angeles)10:10 AM - 10:40 AMTea
10:40 AM - 11:20 AMUniversality of Random Matrices, Dyson Brownian Motion and Local Semicircle Law
Horng-Tzer Yau11:30 AM - 12:10 PM(Random) Tri-Diagonal, Doubly Stochastic Matrices, Orthogonal Polynomials and Alternating Permutations
Persi Diaconis (Stanford University)12:10 PM - 02:30 PMLunch
02:30 PM - 03:10 PMMaximal eigenvalue in beta ensembles : large deviations and left tail of Tracy-Widom laws
Gaëtan BOROT03:10 PM - 04:00 PMTea
04:00 PM - 04:40 PMPainleve Equations - Nonlinear Special Functions
Peter ClarksonSep 17, 2010
Friday09:30 AM - 10:10 AMTBD
Pierre van Moerbeke10:10 AM - 10:40 AMTea
10:40 AM - 11:20 AMVector equilibrium problem for the two-matrix model
Arnoldus Kuijlaars11:30 AM - 12:10 PMUniversality Behviour of Solutions of Hamiltonian PDEs in Critical Regimes
Tamara Grava12:10 PM - 02:30 PMLunch
02:30 PM - 03:10 PMAsymptotics for the Korteweg-de Vries equation and perturbations using Riemann-Hilbert methods
Tom Claeys03:10 PM - 04:00 PMTea
04:00 PM - 04:40 PMSix-vertex model of statistical mechanics and random matrix models
Pavel Bleher (Indiana University--Purdue University) -
Workshop Introductory 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.
Show All Collapse Aug 23, 2010
Monday09:15 AM - 09:30 AMIntroduction
09:30 AM - 10:30 AM30 Years of Calderón's Problem I
Gunther Uhlmann (University of Washington)10:30 AM - 11:00 AMTea
11:00 AM - 12:00 PMIntroduction to Radar Imaging I
Margaret Cheney (Colorado State University)12:00 PM - 02:00 AMLunch
02:00 PM - 03:00 PMAn Introduction to Magnetic Resonance Imaging I
Charles Epstein (University of Pennsylvania)03:00 PM - 03:30 PMTea
03:30 PM - 04:30 PMHybrid Methods of Medical Imaging I
Peter Kuchment (Texas A & M University)Aug 24, 2010
Tuesday09:30 AM - 10:30 AMHybrid Methods of Medical Imaging II
Peter Kuchment (Texas A & M University)10:30 AM - 11:00 AMTea
11:00 AM - 12:00 PMAn Introduction to Magnetic Resonance Imaging II
Charles Epstein (University of Pennsylvania)12:00 PM - 02:00 PMLunch
02:00 PM - 03:00 PMIntroduction to Radar Imaging II
Margaret Cheney (Colorado State University)03:00 PM - 03:30 PMTea
03:30 PM - 04:30 PM30 Years of Calderón's Problem II
Gunther Uhlmann (University of Washington)Aug 25, 2010
Wednesday09:30 AM - 10:30 AMIntroduction to Radar Imaging III
Margaret Cheney (Colorado State University)10:30 AM - 11:00 AMTea
11:00 AM - 12:00 PMImaging in Random Waveguides I
Liliana Borcea (Rice University)12:00 PM - 02:00 PMLunch
02:00 PM - 03:00 PMElectromagnetic Imaging and the Effect of Small Inhomogeneities I
Michael Vogelius (National Science Foundation)03:00 PM - 03:30 PMTea
03:30 PM - 04:30 PMAn Introduction to Magnetic Resonance Imaging III
Charles Epstein (University of Pennsylvania)Aug 26, 2010
Thursday09:30 AM - 10:30 AMElectromagnetic Imaging and the Effect of Small Inhomogeneities II
Michael Vogelius (National Science Foundation)10:30 AM - 11:00 AMTea
11:00 AM - 12:00 PMImaging in Random Waveguides II
Liliana Borcea (Rice University)12:00 PM - 02:00 PMLunch
02:00 PM - 03:00 PMHybrid Methods of Medical Imaging III
Peter Kuchment (Texas A & M University)03:00 PM - 03:30 PMTea
03:30 PM - 04:30 PM30 Years of Calderón's Problem III
Gunther Uhlmann (University of Washington)Aug 27, 2010
Friday09:30 AM - 10:30 AMImaging in Random Waveguides III
Liliana Borcea (Rice University)10:30 AM - 11:00 AMTea
11:00 AM - 12:00 PMHybrid Methods of Medical Imaging IV
Peter Kuchment (Texas A & M University)12:00 PM - 02:00 PMLunch
02:00 PM - 03:00 PM30 Years of Calderón's Problem IV
Gunther Uhlmann (University of Washington)03:00 PM - 03:30 PMTea
03:30 PM - 04:30 PMElectromagnetic Imaging and the Effect of Small Inhomogeneities III
Michael Vogelius (National Science Foundation) -
Workshop Connections 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.
Show All Collapse Aug 19, 2010
Thursday09:30 AM - 10:30 AMIntroduction to Microlocal Analysis I
Tanya Christiansen (University of Missouri)11:00 AM - 12:00 PMIntroduction to Microlocal Analysis II
Tanya Christiansen (University of Missouri)02:00 PM - 03:00 PMAn Introduction to Asymptotic Expansions for Small Inhomogeneities in EIT and Related Problems I
Shari Moskow03:30 PM - 04:30 PMCoherent Imaging in Random Media I
Chrysoula Tsogka (University of Crete)Aug 20, 2010
Friday09:30 AM - 10:30 AMCoherent Imaging in Random Media II
Chrysoula Tsogka (University of Crete)11:00 AM - 12:00 PMAn Introduction to Asymptotic Expansions for Small Inhomogeneities in EIT and Related Problems II
Shari Moskow02:00 PM - 03:00 PMIntroduction to Seismic Imaging I
Alison Malcolm (Massachusetts Institute of Technology)03:30 PM - 04:30 PMIntroduction to Seismic Imaging I I
Alison Malcolm (Massachusetts Institute of Technology) -
Summer Graduate School Algebraic, 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.
Show All Collapse Aug 02, 2010
Monday09:30 AM - 10:30 AMNie Talk 1
Jiawang Nie (University of California, San Diego)11:00 AM - 12:00 PMBlekherman Talk 1
Grigoriy Blekherman02:00 PM - 03:00 PMNie Talk 2
Jiawang Nie (University of California, San Diego)Aug 03, 2010
Tuesday09:30 AM - 10:30 AMBlekherman Talk 2
Grigoriy Blekherman11:00 AM - 12:00 PMNie Talk 3
Jiawang Nie (University of California, San Diego)02:00 PM - 03:00 PMBlekherman Talk 3
Grigoriy BlekhermanAug 04, 2010
Wednesday09:30 AM - 10:30 AMNie Talk 4
Jiawang Nie (University of California, San Diego)11:00 AM - 12:00 PMBlekherman Talk 4
Grigoriy BlekhermanAug 05, 2010
Thursday09:30 AM - 10:30 AMNie Talk 5
Jiawang Nie (University of California, San Diego)11:00 AM - 12:00 PMBlekherman Talk 5
Grigoriy Blekherman02:00 PM - 03:00 PMNie Talk 6
Jiawang Nie (University of California, San Diego)Aug 06, 2010
Friday09:30 AM - 10:30 AMBlekherman Talk 6
Grigoriy Blekherman11:00 AM - 12:00 PMNie Talk 7
Jiawang Nie (University of California, San Diego)02:00 PM - 03:00 PMBlekherman Talk 7
Grigoriy BlekhermanAug 09, 2010
Monday09:30 AM - 10:00 AMOnn Talk 1
Shmuel Onn11:00 AM - 12:00 PMKoppe Talk 1
Matthias Köppe02:00 PM - 03:00 PMOnn Talk 2
Shmuel OnnAug 10, 2010
Tuesday09:30 AM - 10:00 AMKoppe Talk 2
Matthias Köppe11:00 AM - 12:00 PMOnn Talk 3
Shmuel Onn02:00 PM - 03:00 PMKoppe Talk 3
Matthias KöppeAug 11, 2010
Wednesday09:00 AM - 10:00 AMOnn Talk 4
Shmuel Onn11:00 AM - 12:00 PMKoppe Talk 4
Matthias KöppeAug 12, 2010
Thursday09:30 AM - 10:00 AMKoppe Talk 5
Matthias Köppe11:00 AM - 12:00 PMOnn Talk 5
Shmuel Onn02:00 PM - 03:00 PMOnn Talk 6
Shmuel OnnAug 13, 2010
Friday09:30 AM - 10:00 AMKoppe Talk 6
Matthias Köppe11:00 AM - 12:00 PMOnn Talk 7
Shmuel Onn02:00 PM - 03:00 PMKoppe Talk 7
Matthias Köppe