I will explain an application of the geometric Satake correspondence (in its derived form due to Bezrukavnikov-Finkelberg) to the study of differential operators on $G$-spaces (for $G$ complex reductive) and its classical version, the study of cotangent bundles. The main result can be thought of as a "group" analog to Kostant's description of the center of $Ug$ by its action on Whittaker vectors, or a quantized version of Ngô's action of regular centralizers on all centralizers (both of which I will recall). This will aim to be a slower, gentler, expanded version of my talk from the member seminar (which will not be assumed).
Locally Symmetric Spaces Seminar
The Ngô action via geometric Satake
David Ben Zvi
University of Texas at Austin; Member, School of Mathematics
Date & Time
February 13, 2018 | 1:45 – 4:15pm
Simonyi Hall 101