Title: Noether-Lefschetz theory and Gromov-Witten theory
Speaker: Davesh Maulik
Speaker Info: MIT
Brief Description:
Special Note:

In this lecture, we discuss two theories concerning families of K3 surfaces (a special class of algebraic surface with trivial canonical bundle). Noether-Lefschetz theory arises from classical geometric questions about holomorphic line bundles on these surfaces and how they vary in families. Gromov-Witten theory, on the other hand, involves counting pseudoholomorphic curves on a symplectic manifold and is closely related to ideas from mirror symmetry and hypergeometric series. I will introduce these circles of ideas and explain the quantitative relationship between them along with applications to each side. As time permits, I will discuss some recent attempts to study these questions for other surfaces.
Date: Wednesday, November 10, 2010
Time: 4:10pm
Where: Lunt 105
Contact Person: Ezra Getzler
Contact email: getzler@northwestern.edu
Contact Phone:
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