A very brief introduction to fields of norms

09/30/2008 - 12:15pm
09/30/2008 - 1:10pm
Ghassan Sarkis (Pomona College)

We will present the field-of-norms construction of Fontaine and Wintenberger, which associates certain totally ramified extensions of local fields with positive-characteristic fields in a way that relates the Galois group of the extension to a subgroup of automorphisms of the positive-characteristic field. Time permitting, we will discuss applications the field-of-norms theory to p-adic dynamical systems.

ML 211