Logic Seminar - Yutong Duan

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

Date Range
2025-03-25 13:50:00 2025-03-25 15:00:00 Logic Seminar - Yutong Duan Yutong DuanUI ChicagoTitleAlgebraic independence of solutions of Lotka-Volterra equationsAbstractLotka-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).For More Information About the Seminar University Hall 043 America/New_York public

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).

For More Information About the Seminar

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