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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:20060036  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Conjectures on p-cells, tilting modules, and nilpotent orbits
Speaker(s): Pramod Achar
Abstract: For quantum groups at a root of unity, there is a web of theorems (due to Bezrukavnikov and Ostrik, and relying on work of Lusztig) connecting the following topics: (i) tilting modules; (ii) vector bundles on nilpotent orbits; and (iii) Kazhdan–Lusztig cells in the affine Weyl group. In this talk, I will review these results, and I will explain a (partly conjectural) analogous picture for reductive algebraic groups over fields of positive characteristic, inspired by a conjecture of Humphreys. This is joint work with W. Hardesty and S. Riche.
Date: 26/06/2020 - 12:00 pm
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