Parabolic Hilbert schemes and rational Cherednik algebras
Monica Vazirani (University of California - Davis)
Wednesday 18th October, 2023 16:00-17:00 Maths 110
Abstract
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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