Curves on K3 surfaces and modular forms
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 Richard Thomas (Imperial)
 Wednesday 17 February 2010, 14:1515:15
 MR13, CMS.
If you have a question about this talk, please contact Burt Totaro.
The KatzKlemmVafa formula is a conjecture expressing GromovWitten
invariants of K3 surfaces in terms of modular forms. In genus 0 it reduces
to the (proved) YauZaslow formula. I will explain how the correspondence
between stable pairs and GromovWitten theory for toric 3folds (proved by
MaulikOblomkovOkounkovPandharipande), some calculations with stable pairs
(due to KawaiYoshioka) and some deformation theory lead to a proof of the
KKV formula.
(This is joint work with Davesh Maulik and Rahul Pandharipande. Only they
understand the actual formulae. People who like modular forms are not
encouraged to come to this talk.)
This talk is part of the Algebraic Geometry Seminar series.
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