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Knots-quivers correspondence

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Piotr Sulkowski
University of Warsaw
Don, 2017-11-30 10:30 - 11:30
MPIM Lecture Hall

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.


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