MSRI: Spring 2004
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Introductory Workshop on Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory
January 10 - 16, 2002
- William Fulton: What is a Stack?
- Tony Pantev: Review of Abelian Hodge Theory
- Angelo Vistoli: Topological Stacks
- Kai Behrend: Cohomology of Stacks: Cohomology of Coherent Sheaves
- Bertrand Toen: Non-abelian Cohomology
- Andrew Kresch: Intersection Theory on DM Stacks
- Kai Behrend: Cohomology of Stacks: Cohomology with Discrete Coefficients
- Tony Pantev: Non-Abelian Hodge Theory in Degree One
- Rahul Pandharipande: Moduli of elliptic curves
- David Ben-Zvi: Geometric Class Field Theory
- Kai Behrend: Cohomology of Stacks: Cohomology of Quotient Stacks and DM Stacks
- David Ben-Zvi: Factorization
- Rahul Pandharipande: Moduli spaces of Maps and GW Theory
- Tony Pantev: Higher Non-Abelian Hodge Theory, I
- Bertrand Toen: Higher Non-Abelian Hodge Theory, II
- David Ben-Zvi: Quantization of Hitchin's Hamiltonians
Information Theory
February 25 - March 1, 2002
- Neri Merhav: On Large-Deviations Tradefoff Between Code-Length and Distortion in Certain Lossy Source Coding Problems
- Jorma Rissanen: MDL Theory as a Foundation for Statistical Modeling
- Marcelo Weinberger: New Settings for the Sequential Decision Problem
- Jacob Ziv: An Efficient Universal Prediction Algorithm for Unknown Sources with Limited Training Data
- Babak Hassibi: Multi-antenna Communications: Information Theory and Algorithms
- David Tse: Diversity and Freedom: A Fundamental Tradeoff in Multiple Antenna Wireless Communications
- Frans Willems: Weighting and Waiting
- Wojtek Szpankowski: Analytic Combinatorics, Information Theory and Algorithmics: Precise Redundancy Rate Problem
- Amin Shokrollahi: Efficient Content Delivery and Low Complexity Codes
- Jonathan Yedidia: Generalized Belief Propagation and Free Energy Minimization
- Martin Wainwright: Stochastic Processes on Graphs with Cycles: Approximate Inference and Bounds
- Vahid Tarokh: Information Theoretic Energy Reduction in Deep Submicron Computation Modules
- Shlomo Shamai: Information Theoretic Aspects of Constrained Systems
- Chris Heegard: Information Theory and Spread Spectrum Communications
- Prakash Narayan: Common Randomness and Secret Key Capacities
- Tom Cover: The Role of Side Information in Communication and Data Compression
- Kannan Ramchandran: Duality Between Source Coding and Channel Coding with Side Information
- Brian Marcus: Concatenation of Modulation Encoders and ECC Encoders
Intersection Theory on Stacks
March 11 - 15, 2002
- Angelo Vistoli: Intersection Theory on Algebraic Stacks: The Approach of Totaro, Edidin and Graham
- Henri Gillet: Can one do arithmetic intersection theory on stacks?
- Bernd Sturmfels: Multigraded Hilbert Schemes
- Andrew Kresch: Intersection Theory on Algebraic Stacks: Chow Groups for Artin Stacks
- Rahul Pandharipande: Gromov-Witten Theory of P^1 - PartI
- Andrei Okounkov: Gromov-Witten Theory of P^1 - Part II
- Dan Edidin: Riemann-Roch for Quotients and Todd Classes of Simplicial Toric Varieties
- Jun Li: Degeneration Formula of Gromov-Witten Invariants
- Jason Starr: Quot Schemes for Deligne-Mumford Stacks
- Tamas Hausel: Intersection Theory on Toric Hyperkahler Varieties
- Yongbin Ruan: Cohomology Ring of Crepant Resolutions of Orbifolds
- Laurent Lafforgue: Toric Stacks of Pavings
- Martin Olsson: Logarithmic Geometry and Algebraic Stacks
- Aaron Bertram: How Many Gromov-Witten Invariants of Rational Curves are There, Really?
- Mikhail Kapranov: Differential Graded Schemes in Algebraic Geometry
- Roy Joshua: Higher Intersection Theory for Algebraic Stacks
- Kai Behrend: A 2-Categorical Approach to Differential Graded
- Bertrand Toen: K-Theory of Algebraic Stacks
- William Graham: On Symmetric Degeneracy Loci
Geometric Aspects of the Langlands Program
March 18 - 22, 2002
- Alexander Beilinson: On Langlands Correspondence in the de Rham Setting, I
- Ivan Mirkovic: Perverse Sheaves on Loop Grassmannians
- Dennis Gaitsgory: Geometric Langlands for GL(n) and a Vanishing Conjecture
- Gerd Faltings: Introduction to Shimura Varieties
- Michael Rapoport: Local Models of Shimura Varieties in the Ramified Case
- Thomas Haines: Cominatorial Patterns in the Weight Filtration on the Nearby Cycles for some Shimura Varieties with Bad Reduction
- Laurent Lafforgue: Pavings of Polyhedra, Glueing of Schubert Cells and Compactification of Configuration Spaces, I
- Gerd Faltings: Line-Bundles on the Moduli-Space of G-Torsors
- Roman Bezrukavnikov: Sheaves on Affine Flags, and Modular Representations of the Langlands Dual Lie Algebra
- Matthew Emerton: p-adic Automorphic Representations
- Alexander Beilinson: On Langlands Correspondence in the de Rham Setting, II
- Laurent Lafforgue: Pavings of Polyhedra, Glueing of Schubert Cells and Compactification of Configuration Spaces, II
- Michael Finkelberg: Uhlenbeck Spaces for A^2 and Affine Lie Algebra $\hat{sl}_n$
- Marie-France Vigneras: Modular Representations of p-adic Groups and q-affine Schur Algebras 1
- Alexander Braverman: Formal Arcs to Algebraic Semi-Groups and Automorphic L-functions
- Dima Arinkin: Fourier Transform for Quantized Completely Integrable Systems
Non-Abelian Hodge Theory
March 28 - April 5, 2002
- S. Ramanan: Twisted Higgs Bundles and the Fundamental Group of Compact Kahler Manifolds
- Oscar Garcia-Prada: Representations of Surface Groups in Unitary Groups with Indefinite Signature
- William Mark Goldman: Branched Hyperbolic Structures and Rank 2 Higgs Bundles
- Euguene Xia: Higgs Bundles and Representation Varieties
- Ron Donagi: The Gerbe of Higgs Bundles
- Eyal Markman: Group Valued Higgs Bundles over a Punctured Elliptic Curve
- Tamas Hausel: Intersection Theory on the Moduli Space of Higgs Bundles
- Gregory Pearlstein: Higgs Fields and Variations of Mixed Hodge Structure
- Michael Thaddeus: Higgs Bundle Spaces as Mirror Partners
- Jorgen Andersen: Hitchin's Connection, Higgs BUndles and Representations of the Mapping Class Group
- Hans Boden: An Integer Valued SU(3) Casson InvarianAn Integer Valued SU(3) Casson Invariant
- Domingo Toledo: Fundamental Group of the Moduli Space of Real and Complex Cubic Surfaces
- Richard Hain: Iterated Integrals and Motives
- Donu Arapura: The Hodge Conjecture for some Moduli Spaces of Bundles
- Mikhail Kapranov: A Riemann-Roch Theorem for (Higher) Determinantal Gerbes and Differentiable Manifolds
- Bertrand Toen: An Introduction to Higher Non-Abelian Hodge Theory
- Andre Joyal: The Theory of Quasi-Categories
- Amnon Neeman: A Counterexample to a 1961 Theorem in Homological Algebra
- Thomas Leinster: A Language for Higher Categorical Structures
- Vladimir Hinich: Formal Deformations of Sheaves of Algebras
- Gerd Faltings: p-adic Hodge Theory, I
- Olivier Penacchio: Mixed Hodge Structures and Fiber Bundles over the Projective Plane
- Lawrence Breen: The Differential Geometry of Gerbes
- Thomas A. Nevins: Sklyanin Algebras and Hilbert Schemes of Points
- Gerd Faltings: p-adic Hodge Theory, II
- Ludmil Katzarkov: Non-Abelian Hodge Theory and Schematization of Homotopy Types
- Bertrand Toen: Higher Tannaka Duality
- Gabriele Vezzosi: Homotopy Algebraic Geometry
- Dmitri Orlov: Equivalences of Derived Categories of Coherent Sheaves
- John Baez: n-Categories in Homology Theory
Conformal Field Theory and Supersymmetry
April 15 - 26, 2002
- Boris Dubrovin: Frobenius Manifolds and Integrable Systems
- Barry McCoy: Sl_2 Loop Algebra Symmetry in the Six Vertex Model at Roots of Unity
- Hirosi Ooguri: Strings in AdS_3 and the SL(2,R) WZW Model
- Jean-Bernard Zuber: Some Mathematical Problems in Conformal Field Theory
- Werner Nahm: Exploring a Moduli Space: CFT on K3
- Joerg Teschner: Quantum Liouville Theory versus Quantum Teichmueller Space
- Akihiro Tsuchiya: Conformal Field Theory Associated to Regular Chiral Vartex Operator Algebras
- Ivan Cherednik: Gauss-Selberg Sums
- Alexander Kirillov, Jr.: Tensor Categories and orbitforld Vertex Algebras
- Edward Frenkel: Affine Kac-Moody Algebras and Geometric Langlands Correspondence
- Igor Frenkel: Representation Theory Beyond Affine Lie Algebras: A Perspective
- Alexander Voronov: Semisimplicity of Orbifold Vertex Algebras
- Feodor Smirnov: Quantization of Affine Jacobian and Duality
- Vladimir Bazhanov: Conformal Field Theory as a Completely Integrable Quantum System
- Richard Borcherds: Formal Group laws for Infinite-Dimensional Lie Algebras
- Anton Kapustin: TBA
- Ian Grojnowski: Generalized Kirillov-Reshetkhin Modules over Quantum Affine Algebras
- George Wilson: Ideals in the Weyl Algebra
- Pierre van Moerbeke: Matrix Integrals, Random Words and Walks
- Antony Wassermann: Operator Algebraic Analysis of Solvable Lattice Models
- Feng Xu: Local Conformal Field Theory
- Sylvester James Gates, Jr.: Group-Theoretic and Low-Dimensional Origins of SuperSymmetry
- Daniel S. Freed: Introduction to Supersymmetry
- Bruno Zumino: Gauge Theories on Noncommutative Spaces
- Victor Kac: Representations of Infinite-Dimensional Linearly Compact Lie Superalgebras
- John Lott: Superconnections in Geometry, Commutative and Noncommutative
- John Morgan: Variations of Hodge Structure Associated to Calabi-Yau Three Folds with h^3=4
- Vera Serganova: Representations and Characters for Lie Superalgebras
- Maria Gorelik: The Centre of P-type Lie Superalgebra
- Kentaro Hori: D-branes, Supersymmetry, and Mirror Symmetry
- Amer Iqbal: Del Pezzo Surfaces in String Theory
- Arkady Vaintrob: Chiral De Rham Complex
- Jeff Rabin: N=2 Supersymmetry of Super KP Equations
- Albert Schwarz: Maximally Supersymmetric Gauge Theories
- Duong H. Phong: Superstring Scattering Amplitudes and Modular Forms
- Giovanni Felder: From Numbers to q-numbers to Elliptic Numbers: The Elliptic Gamma Function
- Dirk Kreimer: From Unique Factorization of Graphs to Gauge Symmetries
- Elena Poletaeva: On Representations of Contact Superconformal Algebras
- Gregg Zuckerman: A Generalization of Harish-Chandra's Discrete Series to Lie Superalgebras
- Misha Verbitsky: Hodge Theory and Supersymmetry on Kahler, Hyperkahler and Hyperkahler Torsion Manifolds
Statistical Challenges for Meta-Analysis of Medical and Health-Policy Data
May 9 - 11, 2002
- John Pope and others: Special Panel on Journalistic Reporting of Medical Studies
- Phil Henry Poole: The Value of Prospectively Planned Integrated Analyses Across a Drug Development Programme
Finsler Geometry
June 3 - 7, 2002
- Keti Tenenblat: Minimal Surfaces of Rotation in a Special Rnders Space
- Chang-Wan Kim: Rigidity Issues in Finsler Geometry
- Aurel Bejancu: On Randers Metrics of Constant Positive Curvature
- Giorgio Patrizio: Finsler Geometry in Complex Analysis
- Sandor Bacso: Projective Finsler Geometry
- Tadashi Aikou: Kahler Fibrations and Finsler Manifolds
- Tomasz Zastawniak: Stochastic Analysis on Finsler Manifolds
- Laszlo Kozma: Holonomy Groups in Finsler Geometry
- Panayiotis Charalambos Stavrinos: Remarks on the Applications of Finsler Geometry to Space-Time
- Vasile Sabau: Cellular Growth and Berwald Curvatures
- Zoltan I. Szabo: The Classification of Berwald Metrics
- Xinyue Chen: Randers Metrics and their Curvature Properties
- Zhongmin Shen: A Catalog of Schur Type Results, with Examples
- S. S. Chern: A Videotaped Interview with Shiing-Shen Chern
- Patrick Foulon: Anasov Flows and Finsler Spaces of Non-Positive Curvature
- Hans-Bert Rademacher: Sphere Theorem
- Hideo Shimada: Randers Space Forms and the Yasuda-Shimada Theorem
- Robert L. Bryant: The Generality of Finsler Metrics of Constant Flag Curvature and some Exotic Holonomy Groups
- Ralph Beil: Finsler Geometry and Relativistic Field Theory
- David Bao: Ricci Curvature in Finsler Geometry
- Colleen Robles: Einstein Metrics of Randers Type
International School on Biomathematics, Bioengineering and Clinical Aspects of Blood Flow
July 23 - August 9, 2002
MSRI: Fall 2001
Lectures from Other Organizations: 2002 - 2003
Lectures from Other Organizations: 2000 - 2001
Lectures from Other Organizations: 1998 - 1999
Lectures from Other Organizations: 1996 - 1997
Lectures for the General Public
MSRI: Spring 2002