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SUMMARY:Comparing non-archimedean and logarithmic mirror families - Samuel
  Johnston\, University of Cambridge
DTSTART:20220429T150000Z
DTEND:20220429T160000Z
UID:TALK171446@talks.cam.ac.uk
CONTACT:104686
DESCRIPTION:The past few years have seen much progress in the construction
  of mirror families associated with log Calabi-Yau varieties. We will brie
 fly review two of these constructions\, one due to Gross and Siebert using
  log Gromov-Witten invariants\, and the other due to Keel and Yu in a slig
 htly more restricted setting using naive non-archimedean curve counts. I w
 ill sketch a proof demonstrating that in most situations\, the two mirror 
 families agree when both can be constructed. The proof for this fact large
 ly amounts to showing a certain log Gromov-Witten invariant is enumerative
 \, so I will provide non mirror symmetry related motivation related to cer
 tain concrete enumerative problems\, which if time permits\, I will addres
 s using the above result.
LOCATION:MR13
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