Quantization of the universal centralizer and central D-modulesConfirmed

by Tom Gannon (UCLA)

Monday Nov 25, 2024, 1:00 p.m. → 2:30 p.m. America/Toronto

PI/3-301 - Alice Room (Perimeter Institute for Theoretical Physics)

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.