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SUMMARY:Knots\, (extremal) A-polynomials\, and BPS invariants - Piotr Kuch
 arski (University of Warsaw)
DTSTART:20170411T123000Z
DTEND:20170411T133000Z
UID:TALK71898@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-author: Piotr Sulkowski		(University of Warsaw\, Calt
 ech)        <br></span><br>In this talk I will introduce a&nbsp\;new class
  of algebraic curves called extremal A-polynomials of a&nbsp\;knot and use
  it to describe BPS invariants introduced by Labastida\, Marino\, Ooguri\,
  and Vafa. <br><br>I will present results obtained from the analysis of bo
 th classical and quantum extremal A-polynomials. The first lead to exact f
 ormulas for BPS invariants imposing nontrivial integrality statements in n
 umber theory. The latter enabled us to construct the combinatorial model f
 or calculating BPS invariants. <br><span><br>I will also indicate how thes
 e results relate to the formalism of quivers introduced in the talk by Pio
 tr Sulkowski.</span>
LOCATION:Seminar Room 1\, Newton Institute
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