Resurgence of Faddeev's Quantum Dilogarithm Function

Resurgence of Faddeev's Quantum Dilogarithm Function

Explore the mathematical intricacies of Faddeev's quantum dilogarithm function in this one-hour lecture by Stavros Garoufalidis from SUSTech. Delve into the proof that demonstrates how the Borel resummation of a formal power series solution to a linear difference equation generates Faddeev's quantum dilogarithm. Gain insights into this collaborative work with Rinat Kashaev from 2006, which sheds light on the resurgence properties of this important function in quantum mathematics.