Computational Algebra Seminar

Computational Algebra Seminar

Alexa van der Waall

University of Sydney

An Introduction to Differential Galois Theory in MAGMA

Thursday 6th March, 3-4pm

Carslaw 375

In this talk we present some basic concepts of the Galois theory of linear differential equations. We introduce the differential Galois group and a strongly related group, the monodromy group, of a linear differential equation.

At the end we present a method of calculating rational solutions of a linear differential equation, that has been implemented in MAGMA. Examples are given throughout the talk.