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SUMMARY:Perverse sheaves on symmetric products of the plane\, Schur algebr
 as and K-theory [Oberseminar Darstellungstheorie]
DTSTART:20250620T133000Z
DTEND:20250620T143000Z
DTSTAMP:20260416T081900Z
UID:indico-event-525@math-events.uni-bonn.de
DESCRIPTION:Speakers: Tom Braden (UMass Amherst)\n\nIn analogy with the (g
 eneralized) Springer correspondence relating perverse sheaves on a nilpote
 nt cone to representations of the Weyl group\, we consider perverse sheave
 s on the symmetric product of n copies of the plane C^2\, constructible wi
 th respect to the natural stratification by collision of points. This cate
 gory is semisimple when the coefficients have characteristic zero\, but wi
 th positive characteristic coefficients it can be very complicated. We sho
 w that this category is equivalent to modules over a convolution algebra g
 iven by K-theory of sheaves on the symmetric group\, equivariant for the a
 ction of Young subgroups on the left and right. Up to Morita equivalence\,
  this algebra has a Schur algebra as a quotient. I will also explain how t
 his algebra arises using the K-theory of Hilbert schemes and a theorem due
  to Bezrukavnikov-Kaledin and Bridgeland-King-Reid. Joint work with Carl M
 autner.\n\nhttps://math-events.uni-bonn.de/event/525/
LOCATION:1008 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/525/
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