Speaker: Andy Magid
University of Oklahoma
Will give a Colloquium entitled:
Differential equations with constant coefficients
Abstract: Let F be a characteristic zero differential field with algebraically closed field of constants C. A Picard—Vessiot (or differential Galois) extension of F is a differential field containing F having the same field of constants and generated as a differential field over F by a full set of solutions to a monic linear homogeneous differential equation with coefficients in F. A compositum of all Picard—Vessiot extensions of F is called its Picard—Vessiot closure and its group of differential automorphisms over F, which turns out to be a proalgebraic group over C, is called the absolute differential Galois group of F. We will compute these in the case where F=C.
Date: 09-04-2024
Time: 4:00 pm
Location: 231 Hayes Healy
Originally published at math.nd.edu.