PIRSA:24100074

Non-vanishing of quantum geometric Whittaker coefficients

Bogdanova, E. (2024). Non-vanishing of quantum geometric Whittaker coefficients. Perimeter Institute. https://pirsa.org/24100074

Bogdanova, Ekaterina. Non-vanishing of quantum geometric Whittaker coefficients. Perimeter Institute, Oct. 03, 2024, https://pirsa.org/24100074 

          @misc{ pirsa_PIRSA:24100074,
            doi = {10.48660/24100074},
            url = {https://pirsa.org/24100074},
            author = {Bogdanova, Ekaterina},
            keywords = {Mathematical physics},
            language = {en},
            title = {Non-vanishing of quantum geometric Whittaker coefficients},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {oct},
            note = {PIRSA:24100074 see, \url{https://pirsa.org}}
          }

Ekaterina Bogdanova

Harvard University

Talk number
PIRSA:24100074
Collection
Talk Type
Subject
Abstract

We will discuss the functor of geometric Whittaker coefficients in the context of quantum geometric Langlands. We will prove that tempered twisted D-modules on the stack of G-bundles on a smooth projective curve have non-vanishing Whittaker coefficients. Roughly, this means that a certain natural subcategory of twisted D-modules on the stack of G-bundles can be controlled by the category of twisted D-modules on the Beilinson-Drinfeld affine Grassmannian. The proof will combine generalizations of representation-theoretic and microlocal methods from the preceding works of Faergeman-Raskin and Nadler-Taylor respectively.