21-23 May 2013
Raphael Rouquier
UCLA
Professor Rouquier will give
three lectures over the course of his week in Eugene (Tuesday, Wednesday, Thursday) on the general theme of
Higher Representation Theory.
-
Lecture 1: Quiver Hecke algebras
4pm, Tuesday, 21 May 2013, 240C McKenzie
-
Lecture 2: Representations and geometry
4pm, Wednesday, 22 May 2013, 240C McKenzie
-
Lecture 3: Topology in dimensions 3 and 4
4pm, Thursday, 23 May 2013, 240A McKenzie
All three lectures will be preceded by Tea in Fenton 319 from 3:15pm.
Here is the poster including detailed abstracts of each talk.
21-25 May 2012
Andrei Okounkov
Columbia University
Professor Okounkov will give
three lectures over the course of his week in Eugene.
Quantum Groups and Quantum Cohomology.
Quantum cohomology is a deformation of the classical cohomology algebra of an algebraic variety X that takes into account enumerative geometry of rational curves in X. A great deal is know about its structure for special X. For example, Givental and Kim described the quantum cohomology of flag manifolds in terms of certain quantum integrable systems, namely Toda lattices. A general vision for a connection between quantum cohomology and quantum integrable systems recently emerged in supersymmetric gauge theories, in particular in the work of Nekrasov and Shatashvili. Mathematically, the relevant class of varieties X to consider appears to be the so-called equivariant symplectic resolutions. These include, for example, cotangent bundles to compact homogeneous varieties, as well as Hilbert schemes of points and more general instanton moduli spaces. In my lectures, which will be based on joint work with Davesh Maulik, I will construct certain solutions of the Yang-Baxter equation associated to symplectic resolutions as above. The associated quantum integrable system will be identified with the quantum cohomology of X. If time permits, we will also explore
K-theoretic generalization of this theory.
20-22 April 2010
Anatoly Libgober
University of Illinois at Chicago
Professor Libgober will present
three lectures
on the following topics:
-
Lecture 1: Topology of quasi-projective varieties.
Abstract.
4pm, Tuesday, 20 April 2010, 100 Willamette
-
Lecture 2: Lefschetz methods in topology of algebraic varieties
and theory of Alexander invariants.
Abstract.
4pm, Wednesday, 21 April 2010, 125 McKenzie
-
Lecture 3: Hodge theoretical methods for the study of
Alexander invariants.
Abstract.
4pm, Thursday, 22 April 2010, 282 Lillis
10-12 November 2009
Terence Tao
University of California, Los Angeles
Professor Tao will present
three lectures
on the following topics:
-
Lecture 1: Recent Progress in Additive Prime Number Theory.
Abstract.
4pm, Tuesday, 10 November 2009, 129 McKenzie
-
Lecture 2: Compressed Sensing.
Abstract.
4pm, Wednesday, 11 November 2009, 221 McKenzie
-
Lecture 3: Discrete Random Matrices.
Abstract.
4pm, Thursday, 12 November 2009, 221 McKenzie
Recordings of the lectures (audio and video) are available
here.
The audio is good (Tao was wearing a microphone).
One can't see Tao very well, but one can see the slides for
the presentation.
7-9 May 2008
William Fulton
University of Michigan
Professor Fulton will present
three lectures
on "Equivariant cohomology of homogeneous varieties":
-
Lecture 1: 4pm, Weednesday, 7 May 2008, 115 Lawrence.
-
Lecture 2: 4pm, Thursday, 8 May 2008, 115 Lawrence.
-
Lecture 3: 4pm, Friday, 9 May 2008, 115 Lawrence.
The abstract is on the
poster.
23-25 May 2007
Gerhard Huisken
Max Planck Institute of Gravitational Physics
Professor Huisken will present
three lectures
on the following topics:
-
Lecture 1: The heat equation and uniformisation in geometry.
4pm, Wednesday, 23 May 2007, 221 McKenzie
-
Lecture 2: Isoperimetric inequalities
and the concept of mass in General Relativity.
4pm, Thursday, 24 May 2007, 204 Villard
-
Lecture 3: Isoperimetric inequalities via geometric evolution equations.
4pm, Friday, 25 May 2007, 205 Deady
Click here
for the abstracts (pdf).
15-17 March 2006
Victor Ginzburg
University of Chicago
Professor Ginzburg will present
three lectures
on "Noncommutative
geometry and quiver algebras":
-
Lecture 1: Symplectic resolutions, their deformations and
quantizations.
4pm, Wednesday, 15 March 2006, 106 Deady
-
Lecture 2: Noncommutative symplectic geometry, quivers,
and matrix integrals.
4pm, Thursday, 16 March 2006, 106 Deady
-
Lecture 3: Calabi-Yau algebras.
4pm, Friday, 17 March 2006, 110 Willamette
The abstract is on the
poster.
25-27 April 2005
Richard Schoen
Stanford University
Professor Schoen will present
three lectures:
-
Lecture 1: The Yamabe problem revisited
4:00 p.m., Monday, 25 April 2005, 106 Deady Hall
-
Lecture 2: Global compactness theorems for constant scalar curvature metrics
4:00 p.m., Tuesday, 26 April 2005, 106 Deady Hall
-
Lecture 3: Sharp isoperimetric inequalities
for minimal surfaces in Euclidean space
4:00 p.m., Wednesday, 27 April 2005, 110 Willamette Hall
The abstracts are on the
poster.
12-16 April 2004
Maxim Kontsevich
IHES, Bures-sur-Yvette, France
Professor Kontsevich will present
three lectures
on Integral Affine Structures:
-
Lecture 1: Definitions and basic examples
4:00 p.m., Monday, 12 April 2004, 100 Willamette Hall
-
Lecture 2: Non-Archimedean and tropical viewpoints
4:00 p.m., Wednesday, 14 April 2004, 100 Willamette Hall
-
Lecture 3: Collapsing in mirror symmetry
4:00 p.m., Friday, 16 April 2004, 110 Fenton Hall
14-18 January 2002
Victor Guillemin
Massachusetts Institute of Technology
Professor Guillemin will present the following three lectures:
-
Lecture 1: Betti numbers of polytopes and graphs
4:00 p.m., Monday, 14 January 2002, 110 Fenton Hall
-
Lecture 2: The GKM theorem
4:00 p.m., Wednesday, 16 January 2002, 110 Fenton Hall
-
Lecture 3: Multiplicative Morse theory for symplectic G-manifolds
4:00 p.m., Friday, 18 January 2002, 110 Fenton Hall
25-27 October 2000
Dennis Sullivan
CUNY at Stony Brook
Professor Sullivan
will present the following three lectures on Fluids,
quantum theory and algebraic topology:
-
Lecture 1: Discrete modules
4:00 p.m., Wednesday, 25 October 2000, 123 Pacific Hall
-
Lecture 2: Algebraic quantization
4:00 p.m., Thursday, 26 October 2000, 110 Fenton Hall
-
Lecture 3: String topology
4:00 p.m., Friday, 27 October 2000, 110 Fenton Hall
11-15 October 1999
Alexander Varchenko
University of North Carolina in Chapel Hill
Professor Varchenko will present the following three lectures on
multidimensional hypergeometric functions and representation theory:
-
Lecture 1: The KZ differential equations and hypergeometric functions
4:00 p.m., Monday, 11 October 1999, 110 Fenton Hall
-
Lecture 2: Statistical mechanics, R-matrices and qKZ difference equations
4:00 p.m., Wednesday, 13 October 1999, 110 Fenton Hall
-
Lecture 3: The qKZ equations, q-hypergeometric functions,
and quantization of geometry
4:00 p.m., Friday, 15 October 1999, 110 Fenton Hall
11-15 October 1998
Jean-Pierre Serre
College de France, Paris
Professor Serre will present two lecture series
on the following topics:
-
Lecture series 1: Finite subgroups of Lie groups
-
Lecture series 2: The notion of complete reducibility in group theory
Lecture notes are available for both series
here.
March 1997
Efim Zelmanov
UC San Diego
March 1998
Philip Griffiths
October 1995
Clifford Taubes
Harvard University
January 1993
Yu I Manin
Max Planck Institut für Mathematik
January 1989
Michael Atiyah
Cambridge University, UK
November 1986
Victor Kac
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