Speaker: Ekaterina Bogdanova (Harvard University)

In person or on Zoom: https://mit.zoom.us/j/92441268505

Title: Non-vanishing of quantum geometric Whittaker coefficients

Abstract: We will discuss the functor of geometric Whittaker coefficients in the context of quantum geometric Langlands program. Concretely, we will prove (modulo the spectral decomposition conjecture) that the functor of quantum geometric Whittaker coefficients is conservative on the category of cuspidal automorphic D-modules. The proof will combine generalizations of representation-theoretic and microlocal methods from the preceding works of Faergeman-Raskin and Nadler-Taylor respectively.