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SUMMARY:The threefold way to quantum periods: q-WKB periods\, TBA and q-Pa
 inlevé equations - Fabrizio Del Monte (Université de Montréal)
DTSTART:20221108T150000Z
DTEND:20221108T170000Z
UID:TALK192482@talks.cam.ac.uk
DESCRIPTION:In this talk I will illustrate a new relation that is emerging
  between WKB approximation of q-difference equations\, q-Painleve'\, and a
  set of TBA equations associated to del Pezzo surfaces. In particular\, I 
 will show how this relation can be used to obtain exactly the spectrum of 
 stable states and the partition functions of certain five-dimensional Quan
 tum Field Theories\, obtained by M-theory on an appropriate (local) Calabi
 -Yau threefold. The exactly solvable spectrum turns out to be given by alg
 ebraic solutions of q-Painleve' equations\, and in the corresponding (nons
 ingular) region in moduli space the Voros symbols turn out to be classical
 ly exact.
LOCATION:Seminar Room 2\, Newton Institute
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