Mathematics Colloquium: Knot invariants, Hilbert schemes and Macdonald polynomials

Wednesday, March 8 at 3:30pm to 4:30pm

Kaprielian Hall (KAP), 414
3620 South Vermont Avenue, Los Angeles, CA 90089

Eugene Gorsky, UC Davis

Abstract:
I will discuss recent results and conjectures relating knot invariants (such as HOMFLY-PT polynomial and Khovanov-Rozansky homology) to algebraic geometry of Hilbert schemes of points and combinatorics of Macdonald polynomials. All notions will be introduced in the talk, no preliminary knowledge is assumed. This is a joint work with Andrei Negut and Jacob Rasmussen.

 

Event Type

Lecture / Talk / Workshop

Campus

University Park Campus

Department

Mathematics

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