## 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

University of Strasbourg Visit: 04/03/2013 to 04/20/2013 |
Rheinische Friedrich-Wilhelms-Universität Bonn Visit: 05/07/2013 to 05/09/2013 |
Eötvös Loránd University Visit: 05/28/2013 to 05/30/2013 |

Texas A&M Visit: 10/22/2013 to 10/26/2013 |
IAS, Princeton Visit: 10/30/2013 to 11/06/2013 |
Duke University / UC Berkeley Visit: 05/19/2014 to 05/23/2014 |

Cambridge University Visit: 10/04/2014 to 10/10/2014 |
Microsoft Research Visit: 11/03/2014 to 11/06/2014 |

## Upcoming Lectures

### Andrei Okounkov

#### Columbia University

**Visit:**02/17/2015 to 02/19/2015

**Lectures:**

Title: Quantum groups and quantum K-theory

Abstract:

Enumerative geometry of curves in an algebraic variety X is traditionally phrased as computations in cohomology of suitable moduli spaces of curves in X. From many perspectives,including application in mathematical physics, it is interesting and important to promote these computations to K-theory, that is, to compute what may called indices of Dirac operators on these (very singular) moduli spaces, as virtual representation of the group Aut(X). These have truly remarkable properties, including surprising relations for different X that swap the weights of automorphisms for degrees of the curve. In my lectures, I will try to explain this and give a sense of the kind of geometric representation theory that lets one get a handle on such phenomena.

**Poster:** Okounkov.pdf