Parabolic Hilbert schemes and rational Cherednik algebras

Monica Vazirani (University of California - Davis)

Wednesday 18th October, 2023 16:00-17:00 Maths 110


One can use the geometry of parabolic Hilbert schemes of points on

plane curve singularities to build representations of the rational
Cherednik algebra  (RCA) in type A. The basis of 
equivariant homology that comes from torus fixed points has a nice
combinatorial description; and furthermore, this basis diagonalizes the
action of the Dunkl-Opdam subalgebra of the RCA.

 This is  joint work with Eugene Gorsky and José Simental.

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