Seminar
Speaker
Marcos Marino (Geneva)
Date & Time
Thu, 12 May 2022, 16:00 to 17:30
Venue
Online Seminar
Abstract

Quantum field theories and string theories often lead to perturbative series which encode geometric information. In this talk 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.

ICTS Math-Phys seminar is a virtual seminar at the intersection of mathematics (geometry, algebra, representation theory, higher categories, TQFT, ...) and theoretical physics (QFT, string theory, condensed matter, ...). The purpose of this series is to bring together mathematicians and physicists around topics of common interest and foster interdisciplinary discussions.

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