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SUMMARY:Yu-Shen Lin (Boston University)
DTSTART:20210504T160000Z
DTEND:20210504T170000Z
DTSTAMP:20260423T022624Z
UID:Geolis/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/43/">
 Correspondence theorem between holomorphic discs and tropical discs on (Lo
 g)-Calabi-Yau Surfaces</a>\nby Yu-Shen Lin (Boston University) as part of 
 Geometria em Lisboa (IST)\n\n\nAbstract\nTropical geometry is a useful too
 l to study the Gromov-Witten type invariants\, which count the number of h
 olomorphic curves with incidence conditions. On the other hand\, holomorph
 ic discs with boundaries on the Lagrangian fibration of a Calabi-Yau manif
 old plays an important role in the quantum correction of the mirror comple
 x structure. In this talk\, I will introduce a version of open Gromov-Witt
 en invariants counting such discs and the corresponding tropical geometry 
 on (log) Calabi-Yau surfaces. Using Lagrangian Floer theory\, we will esta
 blish the equivalence between the open Gromov-Witten invariants with weigh
 ted count of tropical discs. In particular\, the correspondence theorem im
 plies the folklore conjecture that certain open Gromov-Witten invariants c
 oincide with the log Gromov-Witten invariants with maximal tangency for th
 e projective plane.\n
LOCATION:https://researchseminars.org/talk/Geolis/43/
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