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Math Colloquium
Moshe Kamensky 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, 2014Time: 4:30 pmLocation: Wean Hall 8220Submitted by: BohmanNote: Refreshments at 4:00 pm, Wean Hall 6220 |