EVENT DETAILS AND ABSTRACT

Title: Progress on Mirror Symmetry for Open Strings
Speaker: Johannes Walcher
Speaker Info: IAS
Brief Description:
Special Note:
Abstract:

The classical mirror theorems relate the Gromov-Witten theory of a Calabi-Yau manifold at genus 0 to the variation of Hodge structure of an associated mirror manifold. I will review recent progress in extending these closed string results to the open string sector. Specifically, the open Gromov-Witten theory of a particular Lagrangian submanifold of the quintic threefold is related to the Abel-Jacobi map for a particular object in the derived category of coherent sheaves of the mirror quintic. I will explain the relevance for the homological mirror symmetry program, as well as the extension to higher genus Riemann surfaces.