Friday, May 1, 201510:15 amKolchin seminar in Differential AlgebraGC 5382

# A Differential Hensel’s Lemma for Local Algebras

## Omar Leon Sanchez

### McMaster University

We will discuss a differential version of the classical Hensel’s lemma on lifting solutions from the residue field (working on a local artinian differential algebra over a differentially closed field). We will also talk about some generalizations; for example, one can remove the locality hypothesis by assuming finite dimensionality. If time permits, I will give an easy application on extensions of generalized Hasse-Schmidt operators. This is joint work with Rahim Moosa.