John Alexander Cruz : Mirror maps, differential equations and model theory

Posted by John Baldwin , part of the Logic Seminar.

At

Oct. 6, 2023, noon

In

the internet

Abstract

In this series of talks I will introduce some Schwarzian differential equations that can be obtained from mirror maps for Calabi-Yau manifolds, in particular, hypersurfaces in projective spaces. I will propose a set of expectations about the model theoretic properties of those equations that should extend properties studied in the works of Aslanyan, Freitag, Nagloo, Scanlon and others. The goal is to formulate those expectations as theorems and discuss the strategy of their proof. At the end, I will mention some possible applications of the model theoretic properties in the study of mirror symmetry.

Contact jbaldwin@uic.edu for link