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Title:
Knots-quivers correspondence
Speaker:
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
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