Modular forms, differential equations and mirror symmetry
Speaker:
Don Zagier, Max Planck Institute for Mathematics
Date and Time:
Friday, June 24, 2016 - 2:30pm to 3:30pm
Abstract:
In mirror symmetry one studies certain "quantum differential equations" coming from Gromov--Witten theory (counting of embedded holomorphic curves) and their relation to the more classical Picard--Fuchs differential equations satisfied by the periods of the the mirror variety. In this talk I will describe one such relationship, the so-called Gamma Conjecture, and its proof for a certain collection of Fano varieties (Fano 3-folds with Picard rank one) for which the Picard--Fuchs equation has a parametrization by modular forms. This is joint work with Vasily Golyshev.