Salomon Bochner Lectures in Mathematics, 2007-2008



Rice University
Department of Mathematics


Davesh Maulik
Columbia University/Clay Mathematics Institute

February 25 - February 28, 2008

Gromov-Witten theory and Noether-Lefschetz theory for K3 surfaces


In this series of lectures, we discuss two theories concerning families of K3 surfaces (a special class of algebraic surface with trivial canonical bundle). Gromov-Witten theory involves counting pseudoholomorphic curves on a symplectic manifold and is closely related to ideas from mirror symmetry and hypergeometric series. Noether-Lefschetz theory, on the other hand, arises from classical geometric questions of Hodge theory but relates to modern work of Borcherds on automorphic products. In these talks, I will introduce these circles of ideas and explain the precise quantitative relationship between them along with applications to each side.



Monday, February 25
4:00 - 5:00 PM     Keck 100 (Lecture Hall)

Lecture 1.



Tuesday, February 26
4:00 - 5:00 PM     Herman Brown 227

Lecture 2.



Thursday, February 28
4:00 - 5:00 PM     Herman Brown 227

Lecture 3.

 






There will be a tea preceding each lecture in the Mathematics Commons Room, Herman Brown 438.


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