Friday, October 31, 201412:30 pmKolchin seminar in Differential AlgebraGC 5382

Interpretations and differential Galois extensions

Anand Pillay

Notre Dame University

Anand Pillay

We prove a number of results around finding strongly normal extensions of a differential field K, sometimes with prescribed properties, when the constants of K are not necessarily algebraically closed. The general yoga of interpretations and definable groupoids is used (in place of the Tannakian formalism in the linear case).

This is joint work with M. Kamensky.

This is the first of two distinct talks given by this speaker on October 31.