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SUMMARY:Mirror Symmetry for Rank 2 Cluster Varieties - Man Wai Cheung (Har
 vard University)
DTSTART:20211109T134500Z
DTEND:20211109T141500Z
UID:TALK164764@talks.cam.ac.uk
DESCRIPTION:The Gross-Hacking-Keel mirror is constructed in terms of scatt
 ering diagrams and theta functions. The ground of the construction is that
  scattering diagrams inherit the algebro-geometric analogue of the holomor
 phic disks counting. With Sam Bardwell-Evans\, Hansol Hong\, and Yu-shen L
 In\, we construct a special Lagrangian fibration on the non-toric blowups 
 of toric surfaces that contains nodal fibres\, and prove that the fibres b
 ounding Maslov 0 discs reproduce the scattering diagrams. As a consequence
 \, we can then illustrate the mirror duality between the A and X cluster v
 arieties.
LOCATION:Seminar Room 1\, Newton Institute
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