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SUMMARY:Modular Reduction of Nilpotent Orbits - Jay Taylor (University of 
 Manchester)
DTSTART:20250715T101500Z
DTEND:20250715T111500Z
UID:TALK233992@talks.cam.ac.uk
DESCRIPTION:We consider a split connected reductive algebraic Z-group Gand
  V a G-module which is either the Lie algebrag or its dual. If k is an alg
 ebraically closed field then\, by base change\, we get a group Gk and a co
 rrespondingmodule Vk. Hesselink has defined a partition of the nullcone N 
 (Vk) of Vk into strata N (Vk | O) which canbe indexed\, thanks to Clarke&n
 dash\;Premet\, by G(C)-orbits O &sube\; N (gC)\, such that N (gC | O) = O.
  Each stratumis a union of G(k)-orbits.\nIn this talk I will describe join
 t work with Adam Thomas (Warwick) which produces for each orbit O &sube\; 
 N (gC)\,via a case-by-case analysis\, integral representatives e &isin\; V
  &cap\; N (Vk | O) whose reduction ek &isin\; N (Vk | O)is well-behaved fo
 r every algebraically closed field k.
LOCATION:External
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