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State integrals, the quantum dilogarithm and knots

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Speaker: 
Stavros Garoufalidis
Zugehörigkeit: 
GIT / MPIM
Datum: 
Die, 18/09/2018 - 14:00 - 15:00
Location: 
MPIM Lecture Hall

State integrals (and their building block, the quantum dilogarithm) express the partition function of complex Chern-Simons theory of triangulated 3-manifolds with boundary. I will give an introduction to the subject, focusing on examples, as well as recent results on expressing state integrals in terms of Neumann-Zagier data and in terms of q-series of Nahm type. This is work joint in parts with R. Kashaev and D. Zagier.

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