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SUMMARY:Isotypic decompositions and Hom schemes for algebraic groups - Sea
 n Cotner (University of Michigan)
DTSTART:20250715T143000Z
DTEND:20250715T153000Z
UID:TALK233998@talks.cam.ac.uk
DESCRIPTION:It is well-known that the representations of a finite group X 
 are "the same" in characteristic zero as incharacteristic p >0\, provided 
 that p does not divide the order of X. A standard proof of this fact invol
 vesestablishing the existence of isotypic decompositions for representatio
 ns of X over discrete valuation rings.Attempting to generalize this latter
  result to representations valued in arbitrary reductive groups turns outt
 o lead naturally to the consideration of schemes which parameterize homomo
 rphisms between algebraicgroups\, whose study was initiated by Grothendiec
 k and Demazure. After motivating these objects\, I willdescribe a relative
 ly simple construction\, as well as some applications and open questions i
 f time permits.\nPartially based on work joint with Jeremy Booher and Shia
 ng Tang
LOCATION:External
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