Mathematical Sciences Research Institute

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1. WorkshopCMI/MSRI Hot Topics Workshop: Modularity for GL(2) and Beyond

Michael Harris, Mark Kisin, Kenneth Ribet, Richard Taylor, David Ellwood

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

Oct 30, 2006
Monday
 09:30 AM - 10:30 AM Recent Advances in Modular Forms Kenneth Ribet (University of California, Berkeley) 11:00 AM - 12:00 PM The Sato-Tate Conjecture Nicholas Katz (Princeton University) 02:00 PM - 03:15 PM Galois Representations and Automorphic Forms: Basic Conjectures. Richard Taylor (Institute for Advanced Study) 03:45 PM - 05:00 PM Automorphic Forms and Galois Representations: Examples and Techniques Richard Taylor (Institute for Advanced Study)
Oct 31, 2006
Tuesday
 09:00 AM - 10:00 AM Modularity Lifting Theorems I Richard Taylor (Institute for Advanced Study) 10:30 AM - 11:30 AM Modularity Lifting Theorems I Richard Taylor (Institute for Advanced Study) 10:30 AM - 11:30 AM Modularity Lifting Theorems II Richard Taylor (Institute for Advanced Study) 01:30 PM - 02:30 PM Modularity of Potentiality Barsotti-Tate Representations. Mark Kisin (Harvard University) 02:45 PM - 03:45 PM The Weight in Serre's Conjecture Toby Gee (Imperial College, London) 04:00 PM - 05:00 PM Potential Modularity Teruyoshi Yoshida
Nov 01, 2006
Wednesday
 09:00 AM - 10:30 AM Automorphic Forms on Unitary Groups I Joel Bellaiche 11:00 AM - 12:30 PM Automorphic Forms on Unitary Groups I Don Blasius
Nov 02, 2006
Thursday
 09:00 AM - 10:00 AM Deformations of P-adic Representations of P-adic Galois Groups Christophe Breuil (Centre National de la Recherche Scientifique (CNRS)) 10:15 AM - 11:15 AM P-adic Local Langlands Mark Kisin (Harvard University) 11:30 AM - 12:30 PM The Breuil-Mezard Conjecture and Modularity Lifting Theorems Mark Kisin (Harvard University) 02:30 PM - 03:30 PM The P-adic Completion of Cohomology Matthew Emerton (University of Chicago) 04:00 PM - 05:00 PM Serre's Conjecture Kenneth Ribet (University of California, Berkeley)
Nov 03, 2006
Friday
 09:00 AM - 10:00 AM Modularity Lifting Theorems for Unity Groups Michael Harris (Institut de Mathematiques de Jussieu) 10:30 AM - 11:30 AM Geometry of the Dwork Family Nicholas Shepherd-Barron 01:30 PM - 02:30 PM Potential Modularity for N-dimensional Representations Michael Harris (Institut de Mathematiques de Jussieu) 03:00 PM - 04:00 PM Whither the Trace Formula Robert Langlands
2. WorkshopAnalytic and Computational Aspects of Elliptic and Parabolic Equations

Panagiota Daskalopoulos, Peter Li and Lei Ni

Oct 23, 2006
Monday
 09:30 AM - 10:30 AM An Eigenvalue Estimate and a Capture Problem Andrejs Treibergs 02:00 PM - 03:00 PM Boundary Estimates for Generalized Yamabe Equations Szu-yu Sophie Chen
Oct 24, 2006
Tuesday
 10:30 AM - 11:30 AM Ricci Flow, Entropy and Optimal Transportation Peter Topping
Oct 25, 2006
Wednesday
 09:30 AM - 10:30 AM Heat Kernels on Weighted Manifolds and Applications Alexander Grigor'yan
Oct 26, 2006
Thursday
 10:30 AM - 11:30 AM Kahler-Ricci Solitons and Holomorphic Fuctions of Polynomial Growth. Lei Ni (University of California) 02:00 PM - 03:00 PM The degenerate Complex Monge-Ampere Equation and Donaldson Geoesics. Duong Phong
Oct 27, 2006
Friday
 11:00 AM - 12:00 PM An Interior Gradient Estimate for Solutions of the Symmetric Minimal Surface Equation. Leon Simon
3. WorkshopMathematics of Visual Analysis

Pat Hanrahan, Stanford University; William Cleveland, Purdue University; Sanda Harabagiu, University Texas-Dallas; Peter Jones, Yale; Leland Wilkinson, Northwestern and SPSS

Oct 16, 2006
Monday
 10:30 AM - 12:30 PM Visual Analysis-Supporting Interation William Cleveland (Purdue University), Lee Edlefsen, Robert Gentleman 10:30 AM - 12:30 PM Historams, Information Distances and "Nonparametric" Inference Suresh Venkatasubramanian 02:00 PM - 04:00 PM Finding Patterns Peter Jones (Yale University), Michael Mahoney, Francois Meyer, Naoki Saito, Vin de Silva 04:00 PM - 05:30 PM Mathematics of Visual Analysis M. Alex Vasilescu
Oct 17, 2006
Tuesday
 09:00 AM - 09:30 AM Analytics for Visual Analytics Nancy Chinchor 09:30 AM - 10:00 AM Visions of Visual Analysis Leland Wilkinson 10:30 AM - 12:30 PM Intergrating Heterogeneous Data Sources John Byrnes, Sanda Harabagiu (University of Texas at Dallas), Guy Lebanon, Jean-Michel Pomarede, Christian Posse 02:00 PM - 04:00 PM Smart Visual Analysis James Arvo, Amy Braverman, Dan Carr, Jock Mackinlay, Leland Wilkinson 04:30 PM - 05:30 PM Panel: Findings and Recommendations Nancy Chinchor, William Cleveland (Purdue University), Leland Wilkinson
4. WorkshopWorkshop on Topological Methods in Combinatorics, Computational Geometry, and the Study of Algorithms

G. Carlsson, P. Diaconis, R. Jardine, and G. M. Ziegler

Oct 02, 2006
Monday
 09:00 AM - 10:00 AM An introduction to topological persistence Herbert Edelsbrunner (Duke University) 10:30 AM - 11:30 AM Fundamental group computations in the theory of arrangements and related spaces Alexandru Suciu (Northeastern University) 02:00 PM - 03:00 PM Chromatic numbers, morphism complexes, and Stiefel-Whitney characteristic classes Dmitry Feichtner-Kozlov 03:30 PM - 04:00 PM Greedy drawings of planar triangulations Raghavan Dhandapani 04:00 PM - 04:30 PM The neighborhood complex of a random graph Matthew Kahle
Oct 03, 2006
Tuesday
 09:30 AM - 10:30 AM Equivariant methods Sinisa Vrecica 10:30 AM - 11:30 AM Explicit computations in algebraic topology Michael Joswig 02:00 PM - 03:00 PM Homomorphism complexes of graphs: constructions and computations Carsten Schultz 03:30 PM - 04:30 PM Graph homomorphisms and the birthday problem Persi Diaconis (Stanford University)
Oct 04, 2006
Wednesday
 09:30 AM - 10:30 AM Unknotting algorithms and their computational complexity Joel Hass (University of California, Davis) 10:30 AM - 11:30 AM Branched covers: A combinatorial model and applications Nikolaus Witte 02:00 PM - 03:00 PM Algorithms in discrete Morse theory Kevin Knudson
Oct 05, 2006
Thursday
 09:30 AM - 10:30 AM Sparseness and matrix algorithms Gunnar Carlsson (Stanford University) 10:30 AM - 12:00 PM Invariance of directed spaces and persistence Martin Raussen 02:00 PM - 03:00 PM Bounds for the f-vectors of tight spans Michael Joswig
Oct 06, 2006
Friday
 09:30 AM - 10:30 AM Convex Rank Tests Bernd Sturmfels (UC Berkeley Math Faculty) 10:30 AM - 12:00 PM Topological obstructions to polytope projection Raman Sanyal (Freie Universität Berlin) 01:30 PM - 02:00 PM Statistics on the planar shape space Abhishek Bhattacharya 02:00 PM - 02:30 PM Universality of Hom-complexes Anton Dochtermann 02:30 PM - 03:00 PM Pants decomposition of the punctured plane Shripad Thite 03:00 PM - 03:30 PM Using computational knot theory to understand DNA packing in viruses Javier Arsuaga
5. WorkshopWorkshop on Application of Topology in Science and Engineering

G. Carlsson, P. Diaconis, and S. Holmes

Sep 18, 2006
Monday
 All Day Konstantin Mischaikow 09:00 AM - 10:00 AM Reconstruction of Submanifolds of Euclidean Space from Random Data Steve Smale (University of California, Berkeley) 10:00 AM - 11:15 AM Computational Homology and Spatially Explicit Nonlinear Systems Konstantin Mischaikow 11:30 AM - 12:00 PM Discrete Exterior Calculas and its Apllication to Computational Electromagnetism Melvin Leok 02:00 PM - 03:00 PM Probabilistic and Numerical Validation of Homology Computations for Nodal Domains Thomas Wanner 03:45 PM - 04:45 PM Topological Analysis of Molecular Dynamics Simulations of Lipid Membrane Fusion Afra Zomorodian
Sep 19, 2006
Tuesday
 09:00 AM - 10:00 AM Genes in Codon Space Susan Holmes (Stanford University) 10:15 AM - 11:15 AM Image Segmentation and Persistence John Harer 02:00 PM - 03:00 PM Topological Methods in Protein Structure Analysis Yusu Wang 03:45 PM - 04:45 PM Persistence Based Measures of Gene Periodicity Yuriy Mileyko
Sep 20, 2006
Wednesday
 09:00 AM - 10:00 AM Computational Topology in the Study of Dynamical Systems Sarah Day 10:15 AM - 11:15 AM Computational Conley Theory William Kalies 02:00 PM - 03:00 PM 9/20-Talk on Application of Topology Robert Ghrist
Sep 21, 2006
Thursday
 09:00 AM - 10:00 AM The Inegral Geometry of Random Sets Jonathan Taylor 10:15 AM - 11:15 AM 9/21-Talk on Application of Toplogy Persi Diaconis (Stanford University) 11:30 AM - 12:00 PM Geometric Representation of High Dimension Scattered Data as Graph of Functions Arthur Jamshidi 12:00 PM - 12:45 PM Homolgy of Color Images Peter Saveliev 02:00 PM - 03:00 PM A Stistical approach to Persistent Homology Peter Bubenik 03:45 PM - 04:45 PM Reconstruction Using Witness Complexes Steve Oudot
Sep 22, 2006
Friday
 09:00 AM - 10:00 AM Persistent Cohomology and its Applications Vin de Silva 10:15 AM - 11:15 AM 9/22-Talk on Application of Topology Andrew Blumberg (University of Texas) 02:00 PM - 03:00 PM Geometry of Patch spaces and Image Compression Gunnar Carlsson (Stanford University)
6. WorkshopIntroductory Workshop on Geometric Flows and Function Theory in Real and Complex Geometry

Bennett Chow, Peter Li and Gang Tian

Sep 11, 2006
Monday
 09:30 AM - 10:30 AM Geometric flows and moment maps, part I Ben Weinkove 11:00 AM - 12:00 PM Stability of harmonic functions Jiaping Wang 02:00 PM - 03:00 PM Lagrangian mean curvature flow, part I Andre Neves (Imperial College, London) 03:30 PM - 04:30 PM Convergence and stability results for the Ricci flow, part I Natasa Sesum (Rutgers University)
Sep 12, 2006
Tuesday
 09:30 AM - 10:30 AM Geometric flows and moment maps, part II Ben Weinkove 11:00 AM - 12:00 PM Sharp estimate of Green's function and applications Jiaping Wang 02:00 PM - 03:00 PM Convergence and stability results for the Ricci flow, part II Natasa Sesum (Rutgers University) 03:30 PM - 04:30 PM Ricci flow and invariant cones Lei Ni (University of California)
Sep 13, 2006
Wednesday
 09:30 AM - 10:30 AM TBA, part I Tom Ilmanen 11:00 AM - 12:00 PM Lagrangian mean curvature flow, part II Andre Neves (Imperial College, London)
Sep 14, 2006
Thursday
 09:30 AM - 10:30 AM TBA, part II Tom Ilmanen 11:00 AM - 12:00 PM The Kaehler-Ricci flow on surfaces, part I Jian Song 02:00 PM - 03:00 PM Uniformization of complete non-compact Kaehler manifolds and the Kaehler Ricci flow, part I Albert Chau
Sep 15, 2006
Friday
 09:30 AM - 10:30 AM The Kaehler-Ricci flow on surfaces, part II Jian Song 11:00 AM - 12:00 PM Uniformization of complete non-compact Kaehler manifolds and the Kaehler Ricci flow, part II Albert Chau
7. WorkshopIntroductory Workshop on Computational Application of Algebraic Topology

G. Carlsson, P. Diaconis, G. M. Ziegler

Sep 05, 2006
Tuesday
 09:30 AM - 10:30 AM Algebraic Topology for Sensor Networks Robert Ghrist 11:00 AM - 12:00 PM Kneser and Tverberg: On the power of topological methods in Combinatorics Gunter Ziegler (Freie Universität Berlin) 01:30 PM - 02:30 PM Algebraic Topology in Distributed Computing Sergio Rajsbaum 02:30 PM - 03:30 PM Computational Topology and Dynamics Konstantin Mischaikow 04:00 PM - 05:00 PM Computing the homology of a manifold from somewhat noisy random data. Shmuel Weinberger (University of Chicago)
Sep 06, 2006
Wednesday
 09:30 AM - 10:30 AM Topology for sensor networks Robert Ghrist 11:00 AM - 12:00 PM Configuration Space – Test Map Scheme Rade Zivaljevic 02:30 PM - 03:30 PM Computational Topology and Dynamics Konstantin Mischaikow 04:00 PM - 05:00 PM Horseshoes and Spectral Methods for Detecting Hidden Variables Susan Holmes (Stanford University)
Sep 07, 2006
Thursday
 09:30 AM - 10:30 AM Algebraic Topology and High Dimensional Data Analysis Gunnar Carlsson (Stanford University) 11:00 AM - 12:00 PM The Topology of Maps between Graphs Eric Babson 01:30 PM - 02:30 PM The Geometry of Grains Robert MacPherson 02:30 PM - 03:30 PM From Characterization to Algorithm Persi Diaconis (Stanford University) 04:00 PM - 05:00 PM How to Describe Variations in Manifolds rima izem
Sep 08, 2006
Friday
 09:30 AM - 10:30 AM Algebraic Topology and High Dimensional Data Analysis Gunnar Carlsson (Stanford University) 11:00 AM - 12:00 PM Topological Variants of Arrow Theorem Yuliy Baryshnikov 01:30 PM - 02:30 PM Projection Purist: A Review and Extensions Persi Diaconis (Stanford University) 02:30 PM - 03:30 PM Geometric Measures as RNA Shape Descriptions Christian Laing 03:30 PM - 04:30 PM Singularity of Data Analytic Operators Steven Ellis
8. WorkshopRecent Developments in Arrangements and Configuration Spaces

Michael Falk (Northern Arizona University), Eva-Maria Feichtner (University of Stuttgart), Hiroaki Terao (Tokyo Metropolitan University)

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.

Aug 07, 2006
Monday
 09:45 AM - 10:45 AM The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe Ansatz Alexander Varchenko (University of North Carolina) 11:15 AM - 12:15 PM Resonance and critical points of arrangements Daniel Cohen (Louisiana State University) 02:00 PM - 03:00 PM The homology of real De Concini-Procesi models Eric Rains 03:30 PM - 04:00 PM k-nets and Line Arrangements in P^2 Janis Stipins 04:15 PM - 05:15 PM Tropical Implicitization Bernd Sturmfels (UC Berkeley Math Faculty)
Aug 08, 2006
Tuesday
 09:00 AM - 10:00 AM Fitting ideals and cohomology jump loci Henry Schenck 10:30 AM - 11:00 AM On the monodromy action on Milnor fibers of graphic arrangements Anca Macinic 11:15 AM - 12:15 PM Massey products and monomial ideals Graham Denham 02:00 PM - 03:00 PM Cohomology jumping loci, formality, and quasi-projectivity Alexandru Suciu (Northeastern University) 03:30 PM - 04:30 PM Navigational complexity of collision free motion planning Michael Farber
Aug 09, 2006
Wednesday
 09:00 AM - 10:00 AM Moduli of Representations of Directed Graph Algebras Eric Babson 10:30 AM - 11:00 AM Degeneration varieties Max Wakefield 11:15 AM - 12:15 PM Families of arrangements Richard Randell
Aug 10, 2006
Thursday
 10:30 AM - 11:00 AM The stability of $$A_2$$ and $$B_2$$-type arrangements Takuro Abe 11:15 AM - 12:15 PM Minimal CW-decomposition and applications Masahiko Yoshinaga 02:00 PM - 03:00 PM Genera of complex varieties and singularities of proper maps Laurentiu Maxim 04:15 PM - 04:45 PM A remark on Deligne's proof and the Weak Lattice Property Emanuele Delucchi
Aug 11, 2006
Friday
 09:00 AM - 10:00 AM Homology of fiber-type arrangement complements and configuration spaces Daniel Matei 10:30 AM - 11:00 AM Geometry of rank tests Anne Shiu 11:15 AM - 12:15 PM Some results on local system cohomologies of Artin groups Mario Salvetti 02:00 PM - 03:00 PM Asymptotic Regularity of Ideals David Eisenbud (MSRI - Mathematical Sciences Research Institute)

William Stein (University of Washington)

This workshop will concentrate on computing with modular forms, providing students with the necessary background in both the theoretical and computational aspects of the subject.

Jul 31, 2006
Monday
 10:00 AM - 11:00 AM Classical Modular Forms: Lecture 1 William Stein (University of Washington) 11:00 AM - 12:00 PM Quaternion Algebras: Lecture 1 David Kohel
Aug 01, 2006
Tuesday
 10:00 AM - 11:00 AM Quaternion Algebras: Lecture 2 David Kohel 11:00 AM - 12:00 PM Hilbert Modular Forms: Lecture 1 Lassina Dembele 02:00 PM - 03:00 PM Modular Forms modulo p: Lecture 1 Gabor Wiese
Aug 02, 2006
Wednesday
 10:00 AM - 11:00 AM Classical Modular Forms: Lecture 2 William Stein (University of Washington) 11:00 AM - 12:00 PM Modular Forms Modulo p: Lecture 2 Gabor Wiese 02:00 PM - 03:00 PM Quaternion Algebras: Lecture 3 David Kohel
Aug 03, 2006
Thursday
 10:00 AM - 11:00 AM Classical Modular Forms: Lecture 3 William Stein (University of Washington) 11:00 AM - 12:00 PM Modular Forms Modulo p: Lecture 3 Gabor Wiese 02:00 PM - 03:00 PM Introduction to Quadratic Forms and Modular Forms Jonathan Hanke
Aug 04, 2006
Friday
 10:00 AM - 11:00 AM Quaternion Algebras: Lecture 4 David Kohel 11:00 AM - 12:00 PM Modular Forms Modulo p: Lecture 4 Gabor Wiese
Aug 07, 2006
Monday
 10:00 AM - 11:00 AM Modular Forms on Higher Rank Groups: Lecture 1 Paul Gunnells 11:00 AM - 12:00 PM Hilbert Modular Forms: Lecture 2 Lassina Dembele 02:00 PM - 03:00 PM Classical Modular Forms: Lecture 4 William Stein (University of Washington)
Aug 08, 2006
Tuesday
 10:00 AM - 11:00 AM Modular Forms on Higher Rank Groups: Lecture 2 Paul Gunnells 11:00 AM - 12:00 PM Hilbert Modular Forms: Lecture 3 Lassina Dembele 02:00 PM - 03:00 PM Computing with Siegel Modular Forms Nathan Ryan
Aug 09, 2006
Wednesday
 10:00 AM - 11:00 AM Modular Forms on Higher Rank Groups: Lecture 3 Paul Gunnells 11:00 AM - 12:00 PM Hilbert Modular Forms: Lecture 4 Lassina Dembele
Aug 10, 2006
Thursday
 10:00 AM - 11:00 AM Modular Forms on Higher Rank Groups: Lecture 4 Paul Gunnells