OIST Representation Theory Seminar
Tuesday, October 12, 2021 - 15:00 to 16:00
Speaker: Paul Wedrich, University of Hamburg
Title: Knots and quivers, HOMFLYPT and DT
Abstract: I will describe a surprising connection between the colored HOMFLY-PT polynomials of knots and the motivic Donaldson-Thomas invariants of certain symmetric quivers, which was conjectured by Kucharski-Reineke-Stosic-Sulkowski. I will outline a proof of this correspondence for arborescent links via quivers associated with 4-ended tangles. Finally, I will speculate about how much of the HOMFLY-PT skein theory might carry over to the realm of DT quiver invariants and what kind of geometric information about knots might be encoded in these quivers. This is joint work with Marko Stosic.
Zoom info can be found on the seminar webpage.