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.