Iwasawa cohomolgy and (\phi,\Gamma)-modules over Lubin Tate extensions

Otmar Venjakob
2015-06-23 16:00-17:00
N817

¨ Otmar Venjakob, 4:00pm – 5:00pm, June 23

Title: Iwasawa cohomolgy and (\phi,\Gamma)-modules over Lubin Tate extensions

Abstract: We generalize work of Fontaine and Herr about expressing local Galois cohomology and Iwasawa cohomology in terms of (\phi,\Gamma)-modules from the cyclotomic case to the case of Lubin-Tate extensions. In particular we show a kind of reciprocity law which admits to calculate the image of an adequate Kummer map in the firrst Iwasawa cohomology group. This is joint work with Peter Schneider (Münster).