UCLA Mathnet Login

Distinguished Lecture Series

Every year, the Distinguished Lecture Series (DLS) brings two to four eminent mathematicians to UCLA for a week or more to give a lecture series on their field, and to meet with faculty and graduate students.

The first lecture of each series is aimed at a general mathematical audience, and offers a rare opportunity to see the state of an area of mathematics from the perspective of one of its leaders.  The remaining lectures in the series are usually more advanced, concerning recent developments in the area.

Previous speakers of the DLS include: Peter Sarnak, Peter Schneider, Zhengan Weng, Etienne Ghys, Goro Shimura, Jean Bellissard, Andrei Suslin, Pierre Deligne, Michael Harris, Alexander Lubotzky, Shing-Tau Yau, Hillel Furstenberg, Robert R. Langlands, Clifford Taubes, Louis Nirenberg, Oded Schramm, Louis Nirenberg, I.M. Singer, Jesper Lutzen, L.H. Eliasson, Raoul Bott, Dennis Gaitsgory, Gilles Pisier, Gregg Zuckerman, Freydoon Shahidi, Alain Connes, Jöran Friberg, David Mumford, Sir Michael Atiyah, Jean-Michel Bismut, Jean-Pierre Serre, G. Tian, N. Sibony, C. Deninger, Peter Lax, and Nikolai Reshetikhin.

The DLS is currently supported by the Larry M. Wiener fund. 

Past Lectures

College de France
Visit:
05/09/2017 to 05/11/2017
Princeton University
Visit:
04/04/2017 to 04/06/2017
Massachusetts Institute of Technology
Visit:
01/24/2017 to 01/26/2017
Stanford University
Visit:
11/14/2016 to 11/18/2016
Columbia University
Visit:
05/17/2016 to 05/19/2016
Harvard University
Visit:
04/25/2016 to 04/28/2016
Princeton University
Visit:
05/19/2015 to 05/21/2015
Columbia University
Visit:
02/17/2015 to 02/19/2015
Microsoft Research
Visit:
11/03/2014 to 11/06/2014
Cambridge University
Visit:
10/04/2014 to 10/10/2014
Duke University / UC Berkeley
Visit:
05/19/2014 to 05/23/2014
IAS, Princeton
Visit:
10/30/2013 to 11/06/2013
Texas A&M
Visit:
10/22/2013 to 10/26/2013
Eötvös Loránd University
Visit:
05/28/2013 to 05/30/2013
Rheinische Friedrich-Wilhelms-Universität Bonn
Visit:
05/07/2013 to 05/09/2013
University of Strasbourg
Visit:
04/03/2013 to 04/20/2013

Upcoming Lectures

Geordie Williamson

University of Sydney

Visit:
05/30/2017 to 06/01/2017

Lectures:

Lecture 1 (5/30): Algebraic representations 

This will be an introduction to the theory of algebraic representations. I will discuss the representation theory of SL_2, and general reductive algebraic groups, recalling the fundamental Steinberg tensor product and restriction theorems. I will then turn to Lusztig's character formula and its status.

Lecture 2 (5/31): Constructible sheaves 

I will discuss the geometric Satake equivalence and Finkelberg-Mirkovic conjecture. This provides a conceptually satisfying setting in which to understand Lusztig's conjecture. Understand Lusztig's conjecture for a fixed prime leads to subtle questions concerning torsion in intersection cohomology. I will discuss what is known and what remains to be understood.

Lecture 3 (6/1): Higher representation theory

I will discuss the Hecke category in its constructible and diagrammatic incarnations, and state recent theorems and conjectures which suggest that the Hecke category completely controls algebraic representations (as a "module category" in the sense of higher representation theory). Finally, I will try to motivate a recent conjecture with Lusztig.

 

About Geordie Williamson:

http://www.maths.usyd.edu.au/u/geordie/