Rational completed cohomology of Hilbert modular varieties

Prof. Lue Pan
2025-07-23 15:00-17:00
MCM110

Speaker: Prof. Lue Pan (University of Michigan)
Time: 15:00-17:00  July 23rd, 2025 (Wednesday)
Venue: MCM110

Title: Rational completed cohomology of Hilbert modular varieties

Abstract: I'll describe a way to bound the Gelfand-Kirillov dimension of rational completed cohomology of Hilbert modular varieties below middle degree (based on the method in joint work with Kai-Wen Lan). Several applications will be discussed, including a construction of the plectic Lie algebra action in our recent joint work with Yuanyang Jiang.