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SUMMARY:On Lie-theoretic Hilbert schemes [MPIM]
DTSTART:20260925T120000Z
DTEND:20260925T134500Z
DTSTAMP:20260926T014400Z
UID:indico-event-1588@math-events.uni-bonn.de
DESCRIPTION:Speakers: Oscar Kivinen (Aalto University)\n\nOberseminar Repr
 esentation Theory\nThere is a natural and representation-theoretically imp
 ortant class of varieties generalizing the Hilbert scheme of points on the
  plane\, arising from a symbolic blow-up construction associated to a redu
 ctive Lie algebra. These varieties have twistor deformations to Calogero-M
 oser spaces and quantize to rational Cherednik algebras with equal paramet
 ers. Their fixed points are conjecturally in bijection with two-sided cell
 s in the Weyl group. The natural trigonometric and elliptic generalization
 s of these varieties are closely related to unipotent orbits and Lusztig
 ’s stratification of reductive groups. I will explain what is known abou
 t these varieties at present\, including the resolution of the fixed-point
  conjecture outside type E\, and pose some open questions.\n\nhttps://math
 -events.uni-bonn.de/event/1588/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1588/
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