Unlikely Intersections Seminar
Leo Jimenez
Ohio State
Splitting differential equations using Galois theory
Abstract: An ordinary algebraic differential equation is said to be internal to the constants if its general solution is obtained as a rational function of finitely many of its solutions and finitely many constant terms. Any such equation has an algebraic group acting as its Galois group. In this talk, I will use decomposition theorems for algebraic groups to show that some internal equations (do not) split into a product of internal equations. The methods are model-theoretic and could be applied to other contexts. This is a joint work in progress with Christine Eagles.
Tuesday November 14, 2023 at 4:00 PM in 636 SEO