TY  - GEN
A1  - Thomas, Oliver
CY  - Heidelberg
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/27443/
N2  - We generalise spectral sequences for Iwasawa adjoints of Jannsen to higher dimensional coefficient rings by systematically employing Matlis, local, Koszul and Tate duality. With the same strategy we achieve a generalisation of Venjakob?s local duality theorem for Iwasawa algebras and compute the ?-torsion of the first Iwasawa cohomology group,both locally and globally. Furthermore, we develop a flexible framework to prove standard results of group cohomology for topologised monoids with coefficients in topologised modules, using explicit methods dating back to Hochschild and Serre. This closes a few argumentative gaps in the literature. We also prove a form of Poincaré duality for Lie groups over arbitrary complete non-archimedean fields of characteristic zero. Finally, we take tentative steps towards applying these results to (?,?)-modules.
TI  - On Analytic and Iwasawa Cohomology
Y1  - 2019///
ID  - heidok27443
AV  - public
ER  -