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Colloquia Patavina: Actions of finite groups on power series rings

ARGOMENTI: Seminari

Martedi' 31 Marzo 2009 alle ore 16:00 in aula 1A/150 della Torre Archimede il Prof. Ted Chinburg (University of Pennsylvania) terra' una conferenza della serie Colloquia Patavina.

La Commissione Colloquia
M. A. Garuti, M. Pavon, M. Pitteri, F. Rossi

-Titolo
Actions of finite groups on power series rings

-Conferenziere
Ted Chinburg (University of Pennsylvania)

-Riassunto
It is an old problem to describe explicitly the ways in which a given finite group can act via ring automorphisms on a power series ring k[[t]] over a field k of characteristic p > 0. I will focus in this talk on actions of finite cyclic p-groups. This is related to the algebraic geometry of Katz-Gabber covers of curves in characteristic p. The main result is a classification of Katz-Gabber covers with "extra" automorphisms.

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