MATHEMATICS COLLOQUIUM

DEPARTMENT OF MATHEMATICS
UNIVERSITY OF NEBRASKA AT OMAHA

 WHEN:
On Tuesday, October 26, 1999 at 2:20 PM

WHERE:
Durham Science Center, Room 255

WHAT:

Nigel Byott
University of Exeter, UK, and University at Albany

will give a talk on

Abstract:
The notion of Hopf algebra (resp.~Hopf--Galois structure) arises from considering the algebra of functions on a group (resp. on a set on which the group acts). A given extension of fields may have several Hopf-Galois structures, of which one comes from classical Galois theory. This raises the possibility of comparing the behaviour of rings of integers as "Galois modules" in different Hopf-Galois structures. We will explain how Lubin--Tate formal groups can be used to construct extensions of $p$-adic fields where the rings of integers exhibit different behaviours in different Hopf-Galois structures.

Refreshments served 20 minutes prior to the talk in DSC 255