Quantization of Moduli Spaces of Local Systems at Roots of Unity

Explore a comprehensive lecture on the quantization of moduli spaces of G-local systems on decorated surfaces at roots of unity. Delve into the modular functor conjecture and its implications for providing a categorical structure that generalizes modular tensor categories. Discover applications to quantum topology and representations of DeConcini-Kac quantum groups at roots of unity. Learn from Yale-affiliated speaker Alexander Goncharov as he presents this advanced mathematical topic at the University of Miami in a one-hour and three-minute talk.

Quantization of Moduli Spaces of Local Systems at Roots of Unity