Speaker: Kai Ino Date: 10:30 03/05/2024 Title: Differential equations and Strong minimality Abstract: Firstly, I would like to give an introductory talk about the model theory of differential fields, Kolchin's constrained (or differentially closed) extensions of differential fields, and their reduction modulo p by the author and Leon Sanchez. Later, I will explain the model-theoretic contribution to the study of certain differential equations in characteristic zero, such as the Painlev\'{e} equation studied by Nagloo and Pillay and the order three differential equations satisfied by modular j-function by Freitag and Scanlon. Finally, I want to share my current research interest.