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Splitting the differential logarithm map using Galois theory

Logic Seminar
March 19, 2024
1:50 pm - 2:45 pm
Enarson 318

Title:  Splitting the differential logarithm map using Galois theory

Speaker:  Christine Eagles (University of Waterloo)

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. Such equations give rise to algebraic groups behaving as Galois groups. In this talk I give a characterization of when the pullback of the differential logarithm of an equation is internal to the constants when the Galois group is nilpotent. This is joint work in progress with Leo Jimenez.

URL associated with Seminar:  https://research.math.osu.edu/logicseminar/

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