Speaker: Murad Alim
Date: 10:30 23/10/2020
Title: Mirror symmetry and Jacobi forms
Abstract: I will describe a variation problem of the relative cohomology of a
pair consisting of an elliptic curve and a divisor. The associated flat Gauss-Manin
connection leads to a set of Picard-Fuchs equations which annihilate the relative periods
of the holomorphic one-form. In addition to the flat coordinate which is identified
with the mirror map in the context of mirror symmetry, the variation problem puts
forward another distinguished coordinate on the moduli space of the pair.
I will show that the latter can be identified with a Jacobi form. This is based on work
in progress.