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SUMMARY:Yu-Shen Lin (BU)
DTSTART:20230316T185000Z
DTEND:20230316T195000Z
DTSTAMP:20260423T010004Z
UID:GPRTatNU/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/69/
 ">Symplectic scattering diagrams for Log Calabi-Yau Surfaces</a>\nby Yu-Sh
 en Lin (BU) as part of Geometry\, Physics\, and Representation Theory Semi
 nar\n\n\nAbstract\nThe pioneering work of Gross-Hacking-Keel studied the m
 irror symmetry for log Calabi-Yau surfaces proved that there exists a natu
 ral superpotential defined on the mirrors. The key intermediate product of
  the mirror construction are some combinatorial data called scattering dia
 grams. In this talk\, I will explain the symplectic heuristic of the const
 ruction and mathematically how we retrieve the superpotentials and the sca
 ttering diagram from Lagrangian Floer theory. As corollaries\, we prove a 
 version of cluster mirror symmetry of rank two\, a real analogue of 27 lin
 es on cubic surfaces and a folklore conjecture "open Gromov-Witten invaria
 nts=log Gromov-Witten invariants. This is a joint work with Bardwell-Evans
 \, Cheung and Hong.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/69/
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