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Rational Cherednik algebras and generalized affine Springer fibers
Algebraic Geometry| Speaker: | Oscar Kivinen, Caltech |
| Related Webpage: | http://www.its.caltech.edu/~salomon/ |
| Location: | 3106 MSB |
| Start time: | Thu, Oct 17 2019, 2:00PM |
Equivariant Borel-Moore homology of Steinberg-type varieties is known to act on generalized Springer fibers. We realize Hilbert schemes of points on plane curve singularities as generalized affine Springer fibers, and prove that the quantized Coulomb branch of a Jordan quiver 3d N=4 theory acts on their Borel-Moore homology. We compute the representations for some homogeneous singularities and time permitting, explain the connection to HOMFLY homology of algebraic links. This is joint work with Niklas Garner.