Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Piotr Sulkowski
Affiliation:

University of Warsaw
Date:

Thu, 2017-11-30 10:30 - 11:30 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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/YRSM2017