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Locally Symmetric Spaces Seminar

The Ngô action via geometric Satake

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).

Featuring

David Ben Zvi

Speaker Affiliation

University of Texas at Austin; Member, School of Mathematics

Affiliation

Mathematics

Event Series

Video

https://video.ias.edu/locallysemetric/2018/0213-DavidBenZvi
Date & Time
February 13, 2018 | 1:454:15pm

Location

Simonyi Hall 101

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