Dennis Gaitsgory
Visit: January 28 - February 7, 2002

Professor Gaitsgory will give a Colloquium and a series of 3 talks:

Title: On the Geometric Langlands Correspondence

• Colloquium: The Geometric Langlands Correspondence
  Thursday, January 31: MS 6627 4 pm - 5 pm
• Geometric realization of Langlands duality
  Friday, February 1: MS 6627 3 pm - 4 pm
• Whittaker sheaves
  Monday, February 4 MS 6627 3 pm - 4 pm
• A vanishing conjecture
  Wednesday, February 6 MS 5148 3 pm - 4 pm

Professor Gaitsgory is a leader in geometric representation theory. He is now well-known for his fundamental contributions to the geometric theory of automorphic forms, a subject begun by Beilinson, Deligne, Drinfeld, and Laumon. At UCLA he will explain the ideas underlying the recent construction (with Frankel and Vilonen) of the geometric Langlands correspondence. Here fundamental groups of curves replace Galois groups and complexes of constructible sheaves over moduli spaces of vector bundles replace automorphic functions.

More generally, his research has concerned the geometric theory of Eisenstein series and of Whittaker models, D-modules on loop spaces, and representations of vertex algebras and chiral algebras.

A former student of J. Bernstein, Professor Gaitsgory received his Ph.D. in 1998 from Tel-Aviv University. He was a Junior Fellow at Harvard, received the prize of the European Mathematical Society at its 2000 Congress, and is a Clay Mathematics Institute Long-Term Prize Fellow for the period 2000-2004. Currently, he is an Associate Professor at the University of Chicago.