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SUMMARY:Resurgence\, BPS structures and topological string S-duality - Mur
 ad Alim (Universität Hamburg)
DTSTART:20231003T100000Z
DTEND:20231003T110000Z
UID:TALK200854@talks.cam.ac.uk
DESCRIPTION:The partition function of topological string theory is an asym
 ptotic series in the topological string coupling and provides in a certain
  limit a generating function of Gromov-Witten (GW) invariants of a Calabi-
 Yau threefold. I will discuss how the resurgence analysis of the partition
  function allows one to extract Donaldson-Thomas (DT) or BPS invariants of
  the same underlying geometry. I will further discuss how the analytic fun
 ctions in the topological string coupling obtained by Borel summation admi
 t a dual expansion in the inverse of the topological string coupling leadi
 ng to another asymptotic series at strong coupling and to the notion of to
 pological string S-duality. This S-duality leads to a new modular structur
 e in the topological string coupling. I will also discuss relations to dif
 ference equations and the exact WKB analysis of the mirror geometry. This 
 is based on various joint works with Lotte Hollands\, Arpan Saha\, Iv&aacu
 te\;n Tulli and J&ouml\;rg Teschner as well as on work in progress.
LOCATION:Seminar Room 1\, Newton Institute
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