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Logic Seminar - Yutong Duan

Ohio State Garden of Constants
March 25, 2025
1:50 pm - 3:00 pm
University Hall 043

Yutong Duan
UI Chicago

Title
Algebraic independence of solutions of Lotka-Volterra equations

Abstract
Lotka-Volterra equations describe the dynamics of biological systems in which two species interact. Formally, the equations are a parameterized family of planar polynomial vector fields. They are also of interest as model theory by regarding  solution sets as being definable in a monster model of the theory of differentially closed field of characteristic zero. I will show that under certain conditions on the parameters, the solutions sets are strongly minimal, geometrically trivial and strictly disintegrated (that is, generic solutions are algebraic independent).

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