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State integrals, the quantum dilogarithm and knots.

Date: Thursday, September 13, 2018 16:00 - 18:00
Speaker: Stavros Garoufalidis (Georgia Tech)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Laszlo Erdös
Lab building west seminar room


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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