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SUMMARY:David Jordan (Edinburgh)
DTSTART:20200914T190000Z
DTEND:20200914T200000Z
DTSTAMP:20260423T052955Z
UID:WHCGP/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WHCGP/14/">Q
 uantum geometric Langlands as a fully extended TFT</a>\nby David Jordan (E
 dinburgh) as part of Western Hemisphere colloquium on geometry and physics
 \n\n\nAbstract\nI will survey several recent works realizing Betti geometr
 ic\nLanglands and its quantization as fully extended TFT's. In physics ter
 ms\nthis is most closely related to the Kapustin-Witten twist of N=4 d=4 S
 YM\nat generic values of \\Psi.\n\nI will outline numerous applications to
  quantum topology\, most notably\nto a conjecture of Witten on finite-dime
 nsionality of skein modules\, a\nconjecture of Bonahon-Wong concerning ske
 in modules at root-of-unity\nparameters\, a proposal of Ben-Zvi concerning
  cluster varieties and\nfactorization homology\, and an appearance of the 
 type-A spherical DAHA\nfrom a once-marked torus.\n\nFinally\, I will prese
 nt a novel conjectural appearance of S-duality in\nthe study of skein modu
 les of 3-manifolds.\n
LOCATION:https://researchseminars.org/talk/WHCGP/14/
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