2024 Program for Women+ and Mathematics

Deligne-Lusztig theory: examples and applications

Abstract: Geometry and representation theory are intertwined in deep and foundational ways. One of the most important instances of this relationship was uncovered in the 1970s by Deligne and Lusztig: the representation theory of matrix groups over finite fields is encoded in the geometry of a natural "partition" of flag varieties. Recent developments have revealed rich connections between Deligne-Lusztig varieties and geometry studied in number-theoretic contexts. In this lecture series, we give an example-based tour of these ideas, focusing on how to extract concrete information from theory.

Date & Time

May 20, 2024 | 9:30am – 10:30am


Simonyi Hall 101


Charlotte Chan, University of Michigan

Event Series