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.
Penn Mathematics Colloquium
Wednesday, March 1, 2017 - 3:30pm
Eugene Gorsky
University of California Davis