Aarhus Universitets segl

Knots, quivers, and BPS states

Piotr Sułkowski (University of Warsaw)
Fredag 18. maj 2018 11:00–12:00 Aud. G1 (1532-116)
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.
Organiseret af: QGM
Kontakt: Du Pei Revideret: 17.05.2018