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SUMMARY:Curves on K3 surfaces and modular forms - Richard Thomas (Imperial
 )
DTSTART:20100217T141500Z
DTEND:20100217T151500Z
UID:TALK21870@talks.cam.ac.uk
CONTACT:Burt Totaro
DESCRIPTION:The Katz-Klemm-Vafa formula is a conjecture expressing Gromov-
 Witten\ninvariants of K3 surfaces in terms of modular forms. In genus 0 it
  reduces\nto the (proved) Yau-Zaslow formula. I will explain how the corre
 spondence\nbetween stable pairs and Gromov-Witten theory for toric 3-folds
  (proved by\nMaulik-Oblomkov-Okounkov-Pandharipande)\, some calculations w
 ith stable pairs\n(due to Kawai-Yoshioka) and some deformation theory lead
  to a proof of the\nKKV formula.\n\n(This is joint work with Davesh Maulik
  and Rahul Pandharipande. Only they\nunderstand the actual formulae. Peopl
 e who like modular forms are not\nencouraged to come to this talk.)
LOCATION:MR13\, CMS
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