The Hebrew University
Title: Picard–Vessiot Structures
Abstract: A Picard–Vessiot (PV) extension associated to a linear differential equation is the analogue, in differential Galois theory, of the splitting field of a polynomial. A classical result asserts that a PV extension exists, and is unique, so long as the base field of constants is algebraically closed. I will explain a generalisation of this result, for other fields of constants. The proof uses a generalisation of PV extensions in a general first order setting, and a geometric description of the collection of such extensions.
Date: Monday, January 27, 2014
Time: 4:30 pm
Location: Wean 8220
Submitted by: Bohman
Note: Refreshments at 4:00, Wean 6220