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BPS states, knots and quivers

Presented by: 
Piotr Sulkowski Uniwersytet Warszawski, CALTECH (California Institute of Technology)
Date: 
Thursday 13th April 2017 - 11:30 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 
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, explicit (and unknown before) formulas for colored HOMFLY polynomials for various knots, new viewpoint on knot homologies, new dualities between quivers, and many others.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons