## 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

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

### Roman Bezrukavnikov

#### Massachusetts Institute of Technology

**Visit:**

**Lectures:**

**Lecture 1 (1/24):** Geometric categorification and representation theory

**Abstract: **Representation theory is a branch of algebra studying the algebraic structure of symmetries.

Somewhat akin to the famous phenomenon of "unreasonable effectiveness" of mathematics in physical sciences

is the "unreasonable" effectiveness of algebraic geometry in algebra: several core results

and concepts of algebraic geometry turned out to carry a surprisingly strong connection to problems of representation theory. A classical example of such a connection is provided by the celebrated Kazhdan-Lusztig conjectures proved by Beilinson-Bernstein and Brylinsky-Kashiwara around 1980. In the I talk will briefly survey this classical story and focus on other more recent examples of such connections.

**Lecture 2 & 3 (1/25 - 1/26): **Geometry and algebra of quantized symplectic resolutions

**Abstract:** Much of the classical representation theory deals with modules over the enveloping of a semi-simple

Lie algebra. From a geometric perspective, these algebras can be thought of as examples of a quantized rings of functions on a symplectic singularity. A recent direction is devoted to generalizing those classical results to quantizations of other symplectic singularities. I will describe some results and conjectures in this subject involving constructions of algebro-geometric interest.

#### About Roman Bezrukavnikov:

**Poster:** DLS. Roman Bezrukavnikov

### Igor Rodnianski

#### Princeton University

**Visit:**

**Lectures:**

Title of talk: TBA

#### About Igor Rodnianski:

### Claire Voisin

#### Institute de Mathematiques de Jussieu-Paris

**Visit:**

**Lectures:**

Title of talk: TBA

#### About Claire Voisin:

### Geordie Williamson

#### Max Planck Institute for Mathematics

**Visit:**

**Lectures:**

Title of Talk: TBA