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SUMMARY:Eugene Gorsky (UC Davis)
DTSTART:20200625T180000Z
DTEND:20200625T190000Z
DTSTAMP:20260424T135122Z
UID:GRT-2020/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GRT-2020/22/
 ">Parabolic Hilbert schemes via the Dunkl-Opdam subalgebra</a>\nby Eugene 
 Gorsky (UC Davis) as part of Geometric Representation Theory conference\n\
 n\nAbstract\nIn this note we give an alternative presentation of the ratio
 nal\nCherednik algebra $H_c$ corresponding to the permutation representati
 on of\n$S_n$. As an application\, we give an explicit combinatorial basis 
 for all\nstandard and simple modules if the denominator of $c$ is at least
  $n$\, and\ndescribe the action of $H_c$ in this basis. We also give a bas
 is for the\nirreducible quotient of the polynomial representation and comp
 are it to\nthe basis of fixed points in the homology of the parabolic Hilb
 ert\nscheme of points on the plane curve singularity $\\{x^n=y^m\\}$. This
  is a\njoint work with José Simental and Monica Vazirani.\n
LOCATION:https://researchseminars.org/talk/GRT-2020/22/
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