# Knots, quivers, and BPS states

Piotr Sułkowski
(University of Warsaw)
Seminar
Friday, 18 May, 2018, at 11:00-12:00, in Aud. G1 (1532-116)
Abstract:
I will present a surprising relation between knot invariants and quiver representation theory, motivated by various string theory constructions. Consequences of this relation include the proof of one of the famous integrality conjectures of BPS invariants (i.e. Labastida-Marino-Ooguri-Vafa conjecture for symmetric representations), explicit (and unknown before) formulas for colored HOMFLY-PT polynomials for various knots, new viewpoint on knot homologies, a novel type of categorification, new dualities between quivers, solutions to certain combinatorial problems, and many others.
Organised by: QGM
Contact person: Du Pei