PIRSA:24110086

Quantization of the universal centralizer and central D-modules

Gannon, T. (2024). Quantization of the universal centralizer and central D-modules. Perimeter Institute. https://pirsa.org/24110086

Gannon, Tom. Quantization of the universal centralizer and central D-modules. Perimeter Institute, Nov. 25, 2024, https://pirsa.org/24110086 

          @misc{ pirsa_PIRSA:24110086,
            doi = {10.48660/24110086},
            url = {https://pirsa.org/24110086},
            author = {Gannon, Tom},
            keywords = {Mathematical physics},
            language = {en},
            title = {Quantization of the universal centralizer and central D-modules},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {nov},
            note = {PIRSA:24110086 see, \url{https://pirsa.org}}
          }

Tom Gannon

University of California, Los Angeles

Talk number
PIRSA:24110086
Collection
Talk Type
Subject
Abstract

We will discuss some aspects of my recent preprint, joint with Victor Ginzburg, on Kostant-Whittaker reduction, a (deformation) quantization of restriction to a Kostant slice. We will explain how this functor can be used to prove conjectures of Ben-Zvi and Gunningham on parabolic induction, as well as a convolution exactness conjecture of Braverman and Kazhdan in the D-module setting. While this talk will occasionally reference facts from a talk I gave at Perimeter on other aspects of this preprint, the overlap and references will be minimal.