Abstract:First part of the talk is introduction to Hamiltonian integrability. In the second part of the talk their quantum counterparts will be introduced with some examples. Important class of examples is related to moduli spaces of connections over surfaces.About Speaker:Nicolai Yuryevich Reshetikhin is a mathematical physicist at Yau Mathematical Sciences Center, Tsinghua University. His res...
Abstract: Quantum field theories and string theories often lead to perturbative series which encode geometric information. In this lecture I will argue that, in the case of complex Chern-Simons theory, perturbative series secretly encode integer invariants, related in some cases to BPS counting. The framework which makes this relation possible is the theory of resurgence, where perturbative ser...