Yutong Duan : Lotka-Volterra System and Model Theory

Posted by Yutong Duan , part of the Logic Seminar.

At

Sept. 16, 2025, 3 p.m.

In

636 SEO

Abstract

A central objective in model theory of differentially closed field of characteristic zero is the classification of differential equations in terms of their geometric complexity. In this talk, I will present a new result on the Lotka–Volterra system. We show that, apart from a single exceptional choice of parameters, the system is strongly minimal, geometrically trivial and strictly disintegrated.