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SUMMARY:Quantizations of nilpotent orbit closures in positive characterist
 ics - Lewis Topley\, University of Bath
DTSTART:20260225T163000Z
DTEND:20260225T173000Z
UID:TALK244225@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:A quantization of a Poisson algebra is a noncommutative filter
 ed algebra which recovers the Poisson algebra by the associated graded con
 struction\, which we call "taking the semiclassical limit". The quantizati
 on problem\, which has its roots in the earliest formulation of quantum me
 chanics\, asks us to invert this procedure. To be more precise\, given a g
 raded Poisson algebra\, can we find/classify quantizations.\n\nIn this tal
 k I will consider quantizations of the algebras of regular functions on cl
 osures of nilpotent coadjoint orbits for general linear group over fields 
 of positive characteristics p > 0. We classify these quantizations by rela
 ting them to certain representations of a finite W-algebra. The result is 
 similar to a theorem of Losev over the complex numbers\, however the metho
 ds are quite different. This is a joint work with Matt Westaway (Bath) and
  Filippo Ambrosio (Jena).
LOCATION:MR12
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