Geometric and Modular Representation Theory Seminar
The linkage principle and the tilting character formula via Smith-Treumann theory
The linkage principle says that the category of representations of a reductive group $G$ in positive characteristic decomposes into "blocks" controlled by the affine Weyl group. We will discuss the beautiful geometric proof of this result that Simon Riche and Geordie Williamson obtained by applying Smith-Treumann theory to the Iwahori-Whittaker model of the Satake category... and, as a bonus, a tilting character formula valid for all dominant weights and all characteristics!
Video Link: https://www.ias.edu/video/linkage-principle-and-tilting-character-formu…
Date & Time
January 20, 2021 | 3:00pm – 5:00pm
Location
Simonyi Hall 101 and Remote AccessSpeakers
Affiliation
CNRS, Université Paris Diderot; Member, School of Mathematics
Event Series
Categories
Notes
Seminar website: /math/sp/geometric_modular_reptheory/seminar