Moursund Lectures
2023-2024 | 2016-2019 | 2010-2015 | all by 2009
Contents
- 1 6-7 February 2024
- 2 7-10 March 2023
- 3 8-10 April 2019
- 4 3-5 April 2018
- 5 16-18 May 2017
- 6 17-19 May 2016
- 7 11-13 May 2015
- 8 5-7 May 2014
- 9 21-23 May 2013
- 10 21-25 May 2012
- 11 20-22 April 2010
- 12 10-12 November 2009
- 13 7-9 May 2008
- 14 23-25 May 2007
- 15 15-17 March 2006
- 16 25-27 April 2005
- 17 12-16 April 2004
- 18 14-18 January 2002
- 19 25-27 October 2000
- 20 11-15 October 1999
- 21 11-15 October 1998
- 22 March 1997
- 23 March 1998
- 24 October 1995
- 25 January 1993
- 26 January 1989
- 27 November 1986
6-7 February 2024
Dr. Chris Hacon
University of Utah
- Lecture 1: Classification of algebraic varieties, part 1, 4pm, Tuesday, February 6, 128 Chiles Hall
- Lecture 2: Classification of algebraic varieties, part 2, 4pm, Wednesday, February 7, 128 Chiles Hall
Abstract : Algebraic geometry is the study of geometric objects defined by the solution of polynomial equations. One of the most natural and ambitious goals of the subject is to classify all such objects. For one dimensional complex projective varieties (i.e. Riemann Surfaces), the answer is given by the Deligne-Mumford moduli spaces M_g. For any g at least 2, there is an algebraic variety of dimension 3g-3 whose points parametrize uniquely all Riemann Surfaces of genus g. Moreover, these spaces admit a geometrically meaningful compactification of great importance. In these lectures we will discuss the recent generalization of this results to arbitrary dimension. The first talk will be focused on old and new techniques of the minimal model program and the second talk will be focused on the construction of the moduli spaces themselves.
7-10 March 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
8-10 April 2019
Amie Wilkinson
University of Chicago
Professor Wilkinson will present three lectures:
- Lecture 1: The general case4pm, Monday, April 8, 2019, Deady Hall 208
- Lecture 2: Robust mechanisms for chaos, I: Geometry and the birth of stable ergodicity4pm, Tuesday, April 9, 2019, Deady Hall 208
- Lecture 3: Robust mechanisms for chaos, II: Stable ergodicity and partial hyperbolicity4pm, 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.
3-5 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 2: Embeddings of 4-dimensional ellipsoids
4pm, Wednesday, April 4, 2018, McKenzie Hall 229 - Lecture 3: Beyond 4-dimensions
4pm, Thursday, April 5, 2018, Deady Hall 208
16-18 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 2: Categorification of the Kuperberg bracket
4pm, Wednesday, May 17, 2017, Willamette Hall 100 - Lecture 3: How to categorify the ring of integers localized at two
4pm, Thursday, May 18, 2017, NEW LOCATION: McKenzie Hall 125
17-19 May 2016
Peter Ozsváth
Princeton University
Professor Ozsváth will give three lectures on the general theme of
Floer homology and 3-manifolds
- Lecture 1: Holomorphic disks and low-dimensional 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
11-13 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.
5-7 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.
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 at 3:15pm.
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.
4pm, Tuesday, 20 April 2010, 100 Willamette - Lecture 2: Lefschetz methods in topology of algebraic varieties and theory of Alexander invariants.
4pm, Wednesday, 21 April 2010, 125 McKenzie - Lecture 3: Hodge theoretical methods for the study of Alexander invariants.
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. 4pm, Tuesday, 10 November 2009, 129 McKenzie
- Lecture 2: Compressed Sensing. 4pm, Wednesday, 11 November 2009, 221 McKenzie
- Lecture 3: Discrete Random Matrices. 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, Wednesday, 7 May 2008, 115 Lawrence.
- Lecture 2: 4pm, Thursday, 8 May 2008, 115 Lawrence.
- Lecture 3: 4pm, Friday, 9 May 2008, 115 Lawrence.
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
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
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
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
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