Character Sheaves and Real Groups

ALGEBRO-GEOMETRIC DERIVED CATEGORIES AND APPLICATIONS
Topic:Character Sheaves and Real Groups
Speaker:David Ben-Zvi
Affiliation:The University of Texas at Austin and Member, School of Mathematics
Date:Tuesday, February 26
Time/Room:2:00pm - 4:00pm/S-101

I will discuss some applications of ideas from derived algebraic geometry (DAG) to representation theory in joint work with David Nadler. First I'll review the theory of Drinfeld centers of tensor categories and its generalization to derived algebraic geometry (joint also with John Francis), followed by it application to a Langlands duality statement for Lusztig's character sheaves. Second I will discuss how DAG sees the local Langlands correspondence for real groups as a base change from the complex case.