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SUMMARY:Jose Simental Rodriguez (University of California\, Davis)
DTSTART:20201014T180000Z
DTEND:20201014T190000Z
DTSTAMP:20260423T024651Z
UID:AG-Davis/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AG-Davis/13/
 ">Parabolic Hilbert schemes and representation theory</a>\nby Jose Simenta
 l Rodriguez (University of California\, Davis) as part of UC Davis algebra
 ic geometry seminar\n\n\nAbstract\nWe explicitly construct an action of ty
 pe A rational Cherednik algebras and\, more generally\, quantized Gieseker
  varieties\, on the equivariant homology of the parabolic Hilbert scheme o
 f points on the plane curve singularity $C=\\{x^m=y^n\\}$ where $m$ and $n
 $ are coprime positive integers. We show that the representation we get is
  a highest weight irreducible representation and explicitly identify its h
 ighest weight. We will also place these results in the recent context of C
 oulomb branches and BFN Springer theory. This is joint work with Eugene Go
 rsky and Monica Vazirani.\n
LOCATION:https://researchseminars.org/talk/AG-Davis/13/
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