String-Math Seminar: Knots quivers correspondence

Seminar | November 6 | 2-3 p.m. | 402 LeConte Hall

 Poitr Sulkowski, U. OF WARSAW, CALTECH

 Department of Mathematics

I will present a surprising relation between knot invariants and quiver representation theory, motivated by various string theory constructions involving BPS states. Consequences of this relation include the proof of the famous Labastida-Marino-Ooguri-Vafa conjecture (at least for symmetric representations), explicit (and unknown before) formulas for colored HOMFLY polynomials for various knots, new viewpoint on knot homologies, a novel type of categorification, new dualities between quivers, and many others.