Titlebook: Iwasawa Theory 2012; State of the Art and Thanasis Bouganis,Otmar Venjakob Conference proceedings 2014 Springer-Verlag Berlin Heidelberg 20

hardheaded

Overview of Some Iwasawa Theory the main conjecture. Furthermore a sketch of the leading term formula for the characteristic series for an elliptic curve, a hint at generalisations to other .-adic Galois representations and a vague overview of Kato’s Euler system are also included.

larder

On Extra Zeros of ,-Adic ,-Functions: The Crystalline CaseNamely, using Nekovář’s machinery of Selmer complexes we prove that our .-invariant appears as an additional factor in the Bloch–Kato type formula for special values of Perrin-Riou’s module of .-functions.

运动吧

Iwasawa Modules Arising from Deformation Spaces of ,-Divisible Formal Group Lawsanalytic sections, we obtain representations which are topologically dual to locally analytic representations. In studying these, one is led to the consideration of divided power completions of universal enveloping algebras. The latter seem to constitute a novel tool in .-adic representation theory.