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SUMMARY:José Simental Rodríguez (University of California at Davis)
DTSTART:20201029T185000Z
DTEND:20201029T195000Z
DTSTAMP:20260423T005759Z
UID:GPRTatNU/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/9/"
 >Parabolic Hilbert schemes and representation theory</a>\nby José Simenta
 l Rodríguez (University of California at Davis) as part of Geometry\, Phy
 sics\, and Representation Theory Seminar\n\n\nAbstract\nWe explicitly cons
 truct an action of type A rational Cherednik algebras and\, more generally
 \, quantized Gieseker varieties\, on the equivariant homology of the parab
 olic Hilbert scheme of 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 highest weight. We will also place these resul
 ts in the recent context of Coulomb branches and BFN Springer theory. This
  is joint work with Eugene Gorsky and Monica Vazirani.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/9/
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