PIRSA:24100074

Video URL

https://pirsa.org/24100074

Non-vanishing of quantum geometric Whittaker coefficients

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

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

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2024},
            month = {oct},
            note = {PIRSA:24100074 see, \url{https://scivideos.org/pirsa/24100074}}
          }

Ekaterina Bogdanova Harvard University

Talk numberPIRSA:24100074
DOI10.48660/24100074
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
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.