Arithmetic and Diophantine Geometry, via Ergodic Theory and o-minimality

Intersection Cohomology of Shimura Varieties

8 sept. 2025, 15:15

1h

Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Afternoon Chair: Ricardo Menares

Orateur

Mingjia Zhang (IAS & Princeton Univ.)

Description

The intersection cohomology of Shimura varieties is related to automorphic representations through the comparison with L^2-cohomology and the work of Borel-Casselman. I will explain joint work in progress with Ana Caraiani and Linus Hamann, where we study the intersection cohomology of Shimura varieties through Igusa stacks.