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SUMMARY:Emily Norton (University of Kent)
DTSTART:20231024T073000Z
DTEND:20231024T083000Z
DTSTAMP:20260423T053016Z
UID:OISTRTS/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/50/"
 >Decomposition numbers for unipotent blocks with small $sl_2$-weight in fi
 nite classical groups</a>\nby Emily Norton (University of Kent) as part of
  OIST representation theory seminar\n\n\nAbstract\nThere are many familiar
  module categories admitting a categorical action of a Lie algebra. The co
 mbinatorial shadow of such an action often yields answers to module-theore
 tic questions\, for instance via crystals. In proving a conjecture of Gerb
 er\, Hiss\, and Jacon\, it was shown by Dudas\, Varagnolo\, and Vasserot t
 hat the category of unipotent representations of a finite classical group 
 has such a categorical action. In this talk I will explain how we can use 
 the categorical action to deduce closed formulas for certain families of d
 ecomposition numbers of these groups. This is joint work in progress with 
 Olivier Dudas.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/50/
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