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SUMMARY:Stokes constants in topological string theory - Claudia Rella (Uni
 versity of Geneva)
DTSTART:20221104T140000Z
DTEND:20221104T143000Z
UID:TALK185267@talks.cam.ac.uk
DESCRIPTION:Building on recent progress in the study of the enumerative in
 variants of theories based on quantum curves within the analytic framework
  of resurgence\, I will discuss how the machinery of resurgence can be app
 lied to the asymptotic series that arise naturally as perturbative expansi
 ons in a strongly-coupled limit of topological string theory on a toric Ca
 labi-Yau threefold. These asymptotic series show infinite towers of singul
 arities in their Borel plane. The corresponding infinitely-many Stokes con
 stants can be regarded as a new conjectural class of topological invariant
 s of the underlying theory\, and they can be organized as coefficients of 
 generating functions given by q-series. I will present an explicit analysi
 s of a well-known example of toric Calabi-Yau geometry\, whose resurgent s
 tructure turns out to be analytically solvable. This leads to proven exact
  formulae for the Stokes constants in the strong coupling regime. The anal
 ytic approach that I propose is then straightforwardly extended to the dua
 l weakly-coupled limit of topological strings on the same background\, whi
 ch has been studied numerically in a recent work by Gu and Mari&ntilde\;o.
LOCATION:Seminar Room 1\, Newton Institute
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