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SUMMARY:Semiclassical Decoding of Resurgent Transseries - Maximilian Schwi
 ck (Instituto Superior Técnico\, Lisboa)
DTSTART:20220915T090000Z
DTEND:20220915T100000Z
UID:TALK178133@talks.cam.ac.uk
DESCRIPTION:I will start out by discussing a recent conjecture for the com
 plete resurgent Stokes data of the Painlev&eacute\; I/II equations\, which
  is based upon their resurgent structure [1]. This provides access to an i
 nfinite amount of transcedental numbers which completely characterize the 
 global properties of the transseries solutions of Painlev&eacute\; I/II an
 d the hermitian quartic matrix model. I will then outline how to obtain th
 e exact same data from (off-critical and double-scaled) matrix integral ca
 lculations [2]. The full resonant resurgent transseries may be obtained by
  generalizing physical-sheet eigenvalue tunneling to all (non-physical) sh
 eets of the spectral geometry. This provides the complete semiclassical de
 coding of resurgent matrix models and minimal strings.I will end by presen
 ting explicit examples.\n[1] S. Baldino\, R. Schiappa\, M. S.\, R. VegaRes
 urgent Stokes Data for Painlev&eacute\; Equations and Two-Dimensional Quan
 tum (Super) Gravity\,(2022)\, arXiv:2203.13726 [hep-th]\n[2] M. Mari&ntild
 e\;o\, R. Schiappa\, M. S.To appear (2022).
LOCATION:No Room Required
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