EVENT DETAILS AND ABSTRACT

Title: A Khovanov stable homotopy type
Speaker: Sucharit Sarkar
Speaker Info: Princeton
Brief Description:
Special Note:
Abstract:

We will start our story with the Jones polynomial, a revolutionary knot invariant introduced by V. Jones in 1984. We will then talk about Khovanov homology of knots, which is a "categorification" of the Jones polynomial constructed by M. Khovanov. Finally, we will discuss a recent stable homotopy level refinement of Khovanov homology, which is joint work with R. Lipshitz, and a more algebraic topological reformulation of this invariant using the Burnside category, which is joint work with T. Lawson and R. Lipshitz. Along the way, we will mention topological applications of these three knot invariants.