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SUMMARY:Ivan Losev (Yale)
DTSTART:20210929T200000Z
DTEND:20210929T210000Z
DTSTAMP:20260423T035414Z
UID:MITLie/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/36/">
 Harish-Chandra modules over quantizations of nilpotent orbits.</a>\nby Iva
 n Losev (Yale) as part of MIT Lie groups seminar\n\nLecture held in 2-142.
 \n\nAbstract\nLet O be a nilpotent orbit in a semisimple Lie algebra over 
 the complex numbers. Then it makes sense to talk about filtered quantizati
 ons of O\, these are certain associative algebras that necessarily come wi
 th a preferred homomorphism from the universal enveloping algebra. Assume 
 that the codimension of the boundary of O is at least 4\, this is the case
  for all birationally rigid orbits (but six in the exceptional type)\, for
  example. In my talk I will explain a geometric classification of faithful
  irreducible Harish-Chandra modules over quantizations of O\, concentratin
 g on the case of canonical  quantizations -- this gives rise to modules th
 at could be called unipotent. The talk is based on a joint paper with Shil
 in Yu (in preparation).\n
LOCATION:https://researchseminars.org/talk/MITLie/36/
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