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SUMMARY:BPS states\, knots and quivers - Piotr Sulkowski (Uniwersytet Wars
 zawski\; CALTECH (California Institute of Technology))
DTSTART:20170413T103000Z
DTEND:20170413T113000Z
UID:TALK71934@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will present a surprising relation between knot invariants a
 nd quiver representation theory\, motivated by various string theory const
 ructions involving BPS states. Consequences of this relation include the p
 roof 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.
LOCATION:Seminar Room 1\, Newton Institute
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