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X-FROM-URL:https://eom.sdu.dk/events/ical/daaec09c-757c-44a5-a223-a87bac3f
 3133
X-WR-CALNAME:QM Research seminar: Strong-weak duality and quantum modulari
 ty of resurgent topological strings
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TZID:Europe/Copenhagen
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DTSTAMP:20260602T163356Z
DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker: Claudia Rella [/b] (University of Geneva) [nl]\n[b
 ]Abstract:[/b][nl]\n[nl]\nQuantizing the mirror curve of a toric Calabi-Y
 au threefold gives rise to quantum-mechanical operators. Their fermionic 
 spectral traces produce factorially divergent power series in the Planck 
 constant and its inverse\, which are conjecturally captured by the Nekras
 ov-Shatashvili and standard topological strings via the TS/ST corresponde
 nce. In this talk\, I will discuss a general conjecture on the resurgence
  of these dual asymptotic series\, and I will present a proven exact solu
 tion in the case of the first spectral trace of local P^2. A remarkable n
 umber-theoretic structure underpins the resurgent properties of the weak 
 and strong coupling expansions and paves the way for new insights relatin
 g them to quantum modular forms. Finally\, I will mention how these resul
 ts fit into a broader paradigm linking resurgence and quantum modularity.
  This talk is based on arXiv:2212.10606 and further work in progress with
  V. Fantini.\n[nl]\n[nl]
DTEND:20231130T133000Z
DTSTAMP:20260602T163356Z
DTSTART:20231130T123000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research seminar: Strong-weak duality and quantum modularity of
  resurgent topological strings
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