Khovanov homology, sl(N) homologies, and ribbon concordance

Abstract: In the last 20 years, low-dimensional topologists have found homology-type invariants to be very useful in the study to knots and their relationship with the 3- and 4-manifolds they live in. In this talk, I will discuss the concept of "ribbon concordance" and why we hope categorified knot invariants may help us solve some major open questions. This talk is based on joint work with Carmen Caprau, Nicolle Gonzalez, Christine Lee, Adam Lowrance, and Radmila Sazdanovic on how sl(n) homologies provide ribbon concordance obstructions. This builds off the work of Adam Levine and Ian Zemke.

commutative algebracombinatoricscategory theoryrepresentation theory

Audience: researchers in the topic

UC Davis algebra & discrete math seminar