Rahul Pandharipande : Counting curves on K3 surfaces: the Katz-Klemm-Vafa formula

Posted by Izzet Coskun , part of the Algebraic Geometry Seminar.

At

April 18, 2014, 3 p.m.

In

SEO 636

Abstract

I will explain our recent proof (with R. Thomas) of the KKV formula governing higher genus curve counting in arbitrary classes on K3 surfaces. The subject intertwines Gromov-Witten, Noether-Lefschetz, and Donaldson-Thomas theories. A tour of these ideas will be included in the talk.