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SUMMARY:Pramod Achar (Louisiana State University)
DTSTART:20200626T160000Z
DTEND:20200626T170000Z
DTSTAMP:20260424T133919Z
UID:GRT-2020/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GRT-2020/25/
 ">Conjectures on p-cells\, tilting modules\, and nilpotent orbits</a>\nby 
 Pramod Achar (Louisiana State University) as part of Geometric Representat
 ion Theory conference\n\n\nAbstract\nFor quantum groups at a root of unity
 \, there is a web of theorems (due to Bezrukavnikov and Ostrik\, and relyi
 ng on work of Lusztig) connecting the following topics: (i) tilting module
 s\; (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 reducti
 ve algebraic groups over fields of positive characteristic\, inspired by a
  conjecture of Humphreys. This is joint work with W. Hardesty and S. Riche
 .\n
LOCATION:https://researchseminars.org/talk/GRT-2020/25/
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