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SUMMARY:Sergei Gukov (Caltech / MPI Bonn)
DTSTART:20200521T160000Z
DTEND:20200521T180000Z
DTSTAMP:20260423T041354Z
UID:AGNTISTA/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/5/"
 >From the Generalized Volume Conjecture to Turaev and Ramanujan</a>\nby Se
 rgei Gukov (Caltech / MPI Bonn) as part of Algebraic Geometry and Number T
 heory seminar - ISTA\n\n\nAbstract\nIn this talk\, intended for a broad au
 dience\, we will survey the development of a new 3-manifold invariant that
  provides an answer to questions like this: What do Dedekind eta and Alexa
 nder polynomial have in common? In fact\, illustrated by this question is 
 perhaps the most attractive feature of this new invariant: it provides new
  and often unexpected connections between different areas of mathematics. 
 Originating from complex Chern-Simons theory and quantization of $\\operat
 orname{SL}(2\,\\mathbb{C})$ character varieties\, it evaluates to $q$-seri
 es expressions that are more commonly seen in the theory of mock modular f
 orms and in logarithmic Vertex Operator Algebras (VOAs). The goal of the t
 alk will be to survey these relations using least amount of technical deta
 ils.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/5/
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