The category of Soergel bimodules categorifies the Hecke algebra. Khovanov and Rozansky used Soergel bimodules to define triply graded link homology (also known as Khovanov-Rozansky homology) which categorifies HOMFLY-PT link invariant. I will survey some results and conjectures relating Soergel bimodules and Khovanov-Rozansky homology with the Hilbert scheme of points on the plane. The talk is based on joint works with Matt Hogancamp, Andrei Negut, Jake Rasmussen and Paul Wedrich.
This video is part of the University of Georgia‘s Algebra seminar.
