Moursund Lectures
2023
Dr. Soren Galatius
Department of Mathematical Sciences KU
 Lecture 1: Topological Pontryagin Classes
 March 7th at 4:00 PM
 Lecture 2: Cohomology of Moduli Spaces of Graphs and Surfaces
 March 8th at 4:00 PM
 Lecture 3: On the Homology of General Linear Groups of Infinite Fields
 March 10th at 4:00 PM
2020
Ulrike Tillmann
University of Oxford
Dates and topic TBA
810 April 2019
Amie Wilkinson
University of Chicago
Professor Wilkinson will present three lectures:

 Lecture 1 : The general case
4pm, Monday, April 8, 2019, Deady Hall 208
 Lecture 1 : The general case

 Lecture 2 : Robust mechanisms for chaos, I: Geometry and the birth of stable ergodicity
4pm, Tuesday, April 9, 2019, Deady Hall 208
 Lecture 2 : Robust mechanisms for chaos, I: Geometry and the birth of stable ergodicity
 Lecture 3 : Robust mechanisms for chaos, II: Stable ergodicity and partial hyperbolicity
4pm, Wednesday, April 10, 2019, Gerlinger Hall 242
There will be a reception at 5pm on Monday in the Fenton Lounge, room 219. All three lectures will be preceded by Tea in the Fenton Lounge at 3:30pm.
35 April 2018
Dusa McDuff
Columbia University
Professor McDuff will present three lectures:
Embedding questions in symplectic Topology

 Lecture 1 : Introduction to Symplectic Topology
4pm, Tuesday, April 3, 2018, Deady Hall 208
 Lecture 1 : Introduction to Symplectic Topology

 Lecture 2 : Embeddings of 4dimensional ellipsoids
4pm, Wednesday, April 4, 2018, McKenzie Hall 229
 Lecture 2 : Embeddings of 4dimensional ellipsoids
 Lecture 3 : Beyond 4dimensions
4pm, Thursday, April 5, 2018, Deady Hall 208
1618 May 2017
Mikhail Khovanov
Columbia University
Professor Khovanov will present three lectures:

 Lecture 1: The Jones polynomial of links and tangles and its categorification
4pm, Tuesday, May 16, 2017, Pacific Hall 123
 Lecture 1: The Jones polynomial of links and tangles and its categorification

 Lecture 2: Categorification of the Kuperberg bracket
4pm, Wednesday, May 17, 2017, Willamette Hall 100
 Lecture 2: Categorification of the Kuperberg bracket
 Lecture 3: How to categorify the ring of integers localized at two
4pm, Thursday, May 18, 2017, NEW LOCATION: McKenzie Hall 125
1719 May 2016
Peter Ozsváth
Princeton University
Professor Ozsváth will give three lectures on the general theme of
Floer homology and 3manifolds
 Lecture 1: Holomorphic disks and lowdimensional topology
4pm, Tuesday, 17 May 2016, 145 Straub Hall
 Lecture 2: A knot invariant from grid diagrams
4pm, Wednesday, 18 May 2016, 110 Fenton Hall
 Lecture 3: Bordered Floer homology
4pm, Thursday, 19 May 2016, 145 Straub Hall
1113 May 2015
Gang Tian
Beijing University and Princeton University
Professor Tian will give three lectures on the general theme of
Curvature Flows
 Lecture 1: Curvature Flows
4pm, Monday, 11 May 2015, 229 McKenzie  Lecture 2: Analytic Minimal Model Program through Ricci Flow
4pm, Tuesday, 12 May 2015, 229 McKenzie  Lecture 3: New Curvature Flows
4pm, Wednesday, 13 May 2015, 229 Willamette
All three lectures will be preceded by Tea in Fenton 219 at 3:15pm.
57 May 2014
Jacob Lurie
Harvard
Professor Lurie will give three lectures over the course of his week in Eugene (Monday, Tuesday, Wednesday) on the general theme of
Theory of “Spectral” Algebraic Geometry.
 Lecture 1: Cohomology Theories and Commutative Rings
4pm, Monday, 5 May 2014, 100 Willamette  Lecture 2: Ambidexterity
4pm, Tuesday, 6 May 2014, 100 Willamette  Lecture 3: Roots of Unity in Stable Homotopy Theory
4pm, Wednesday, 7 May 2014, 100 Willamette
All three lectures will be preceded by Tea in Fenton 219 at 3:15pm. Here is the poster including a detailed abstract of the talks.
2123 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 at 3:15pm. Here is the poster including detailed abstracts of each talk.
2125 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 socalled 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 YangBaxter 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 Ktheoretic generalization of this theory.
2022 April 2010
Anatoly Libgober
University of Illinois at Chicago
Professor Libgober will present three lectures on the following topics:
 Lecture 1: Topology of quasiprojective 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
1012 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.
79 May 2008
William Fulton
University of Michigan
Professor Fulton will present three lectures on “Equivariant cohomology of homogeneous varieties”:
 Lecture 1: 4pm, Wednesday, 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.
2325 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).
1517 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: CalabiYau algebras.
4pm, Friday, 17 March 2006, 110 Willamette
The abstract is on the poster.
2527 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.
1216 April 2004
Maxim Kontsevich
IHES, BuressurYvette, 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: NonArchimedean 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
1418 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 Gmanifolds
4:00 p.m., Friday, 18 January 2002, 110 Fenton Hall
2527 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
1115 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, Rmatrices and qKZ difference equations
4:00 p.m., Wednesday, 13 October 1999, 110 Fenton Hall  Lecture 3: The qKZ equations, qhypergeometric functions, and quantization of geometry
4:00 p.m., Friday, 15 October 1999, 110 Fenton Hall
1115 October 1998
JeanPierre 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