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SUMMARY:Degenerations and expansions\, and a trip to the tropics - Siao Ch
 i Mok\, University of Cambridge
DTSTART:20240607T150000Z
DTEND:20240607T160000Z
UID:TALK213376@talks.cam.ac.uk
CONTACT:Alexis Marchand
DESCRIPTION:In many cases\, breaking things into pieces makes them easier 
 to study\, and it turns out this also applies to the area of enumerative g
 eometry (aka the study of counting geometric objects on a variety X). When
  a variety degenerates (i.e. breaks) into a union of toric varieties\, it 
 has been shown that curve counting on the original variety can be recovere
 d from "logarithmic" curve counting on the smaller toric varieties! One ca
 n study logarithmic enumerative geometry via a type of surgery on X called
  expansions\, and expansions arise naturally if we take an excursion to tr
 opical geometry.\n\n
LOCATION:MR13
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