PIRSA:24100074

Non-vanishing of quantum geometric Whittaker coefficients

APA

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

MLA

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

BibTex

          @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/index.php/pirsa/24100074}}
          }
          

Ekaterina Bogdanova Harvard University

Talk numberPIRSA:24100074
Source RepositoryPIRSA

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.