Title: Nekovar duality in p-adic Lie extensions of global fields
Speaker: Romyar Sharifi
Speaker Info: Arizona
Brief Description:
Special Note: There will be a preseminar talk for graduate students at 11 am in 232 Seabury.
Abstract:
Tate and Poitou-Tate duality are dualities for cohomology groups of Galois groups of local and global fields, respectively, taking place between the cohomology group of a finite module and another cohomology group for the Pontryagin dual of the module. Nekovar obtained related duality theorems, replacing the Pontryagin dual by a Grothendieck dual, in a derived category of Galois modules that are also finitely generated modules over a complete, commutative local Noetherian ring with finite residue field. We will explain an extension of this to p-adic Lie extensions of local and global fields, which is to say, to a case in which the commutative ring is replaced by a possibly noncommutative Iwasawa algebra over it. This is joint work with Meng Fai Lim.Date: Monday, February 21, 2011