|Locally Symmetric Spaces Seminar|
|Topic:||The Ngô action via geometric Satake|
|Speaker:||David Ben Zvi|
|Affiliation:||University of Texas at Austin; Member, School of Mathematics|
|Date:||Tuesday, February 13|
|Time/Room:||1:45pm - 4:15pm/Simonyi Hall 101|
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).