Learning Seminar 12/8

Speaker: George Seelinger

Title: The complexes for computing some torus knot homology

Abstract: In Mellit's computation of the knot homology of the (m,n)-torus knot for coprime m and n, we saw the sweeping method relied on a few relations among the homology of certain complexes of Soergel bimodules. In this talk, we will attempt to explore the homological underpinnings of these relations in order to better understand the underlying complexes. Time permitting, we may also see how to use these complexes to compute the knot homology of the (n,n)-torus knot.