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
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Laszlo Erdös
Contact
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.