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SUMMARY:Mandy Cheung (Harvard University)
DTSTART:20211021T185000Z
DTEND:20211021T195000Z
DTSTAMP:20260423T005749Z
UID:GPRTatNU/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/38/
 ">Family Floer mirror and mirror symmetry for rank 2 cluster varieties</a>
 \nby Mandy Cheung (Harvard University) as part of Geometry\, Physics\, and
  Representation Theory Seminar\n\n\nAbstract\nThe Gross-Hacking-Keel mirro
 r is constructed in terms of scattering diagrams and theta functions. The 
 ground of the construction is that scattering diagrams inherit the algebro
 -geometric analogue of the holomorphic disks counting. With Yu-shen Lin\, 
 we made use this idea and gave first non-trivial examples of family Floer 
 mirror. Then with Sam Bardwell-Evans\, Hansol Hong\, and Yu-shen LIn\, we 
 construct a special Lagrangian fibration on the non-toric blowups of toric
  surfaces that contains nodal fibres\, and prove that the fibres bounding 
 Maslov 0 discs reproduce the scattering diagrams. As a consequence\, we ca
 n then illustrate the mirror duality between the A and X cluster varieties
 .\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/38/
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