March 25, 2025
1:50PM
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3:00PM
University Hall 043
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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
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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).
