27.04.2026 15:00 Murad Alim:
Resurgence and Exact WKB: From Divergent Series to Nonperturbative PhysicsMI 03.06.011 (Boltzmannstr. 3, 85748 Garching)
Divergent asymptotic expansions are ubiquitous in mathematical physics, yet they often encode far more information than their formal nature suggests. In this talk, I will present ideas from resurgence theory, which provide a systematic way to reconstruct analytic functions from such expansions.
As a an example, I will consider the exact WKB method, where asymptotic series arise as formal solutions to Schrödinger operators. Resurgence reveals how different analytic realizations of these series are related through Stokes phenomena—discrete jumps that encode nonperturbative effects, and geometrically encode changes of triangulations of an underlying Riemann Surface.