Speaker: Felipe Ramos
Date: 10:30 18/03/2022
Title:Gauss Manin Connection in Disguise: Mirror Quintic Threefolds with two rational curves.

Abstract: The Mirror Quintic family is a famous family of Calabi Yau Threefolds for its applications in Mirror Symmetry. 
Movasati computed a Ramanujan vector field which led to a theory of automorphic forms which was used to recover the Yukuwa Coupling and the virtual number of 
rational curves on the quintic, first computed by Candelas et al.
In this talk, we consider the family of Mirror Quintics with two specific disjoint rational curves inside. 
By similar methods as Movasati, we can recover the generating function of the virtual number of holomorphic disks on the quintic with boundary on a 
lagrangian, computed by Walcher and his collaborators.