Gauss-Manin Connection in Disguise and Mirror Symmetry

Abstract: In this talk, we aim to explain what the Gauss-Manin Connection in Disguise program is and why it is important. The idea is to construct objects which behave similarly to modular forms using the Gauss-Manin connection associated to a family of varieties with fixed topological data. We focus on the applications to Mirror Symmetry, especially the relations with Gromov-Witten invariants and the periods of the mirror quintic family. Among them, I will explain my results for the open string Mirror Symmetry and open Gromov-Witten invariants.

algebraic geometrycombinatorics

Audience: researchers in the topic

Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html