Abstracts for the Seminar
 Discrete Geometry and Combinatorics
 Spring 2018

Speaker:  Eugene Gorsky, University of California, Davis
Title: Knot invariants and generalized q,t-Catalan numbers
Time: 2:30 PM, Monday, April 16, 2018
Place:  Malott 206

Abstract: I will discuss several results and conjectures describing HOMFLY-PT polynomials and Khovanov-Rozansky homology of torus knots and their cousins. These invariants lead to a family of q,t-identities relating standard Young tableaux, Tesler matrices and lattice paths. In a special case, one recovers q,t-Catalan numbers of Garsia and Haiman.

Back to main seminar page.