BIMSA > Geometry and Physics Seminar Resurgence and quantum topology
Resurgence and quantum topology
Organizers
Hamed Adami , Chi Ming Chang , Mohammad Yavartanoo
Speaker
Marcos Marino
Time
Thursday, June 2, 2022 4:30 PM - 5:30 PM
Venue
1129B
Online
Zoom 361 038 6975 (BIMSA)
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 series lead to additional non-perturbative sectors, and the integer invariants arise as Stokes constants. I will illustrate these claims with explicit examples related to quantum invariants of hyperbolic knots. If time permits, I will mention similar results in topological string theory.