Selmer complexes and the $p$-adic Hodge theory

Abstract

The first part of the paper is a survey of recent results about the cohomology of $(\varphi ,\Gamma )$-modules and its applications to the theory of Selmer complexes. In the second part we formulate a version of the Main Conjecture for $p$-adic representations which are semistable at $p$ and discuss some related topics.

arXiv comment47 pages

References in corpus (1)

• Families of trianguline representations and finite slope spaces

Cited by in corpus (4)

• Iwasawa theory for Rankin--Selberg products of $p$-non-ordinary eigenforms
• Integral Iwasawa theory of Galois representations for non-ordinary primes
• P-adic heights and p-adic Hodge theory
• Beilinson-Kato and Beilinson-Flach elements, Coleman-Rubin-Stark classes, Heegner points and the Perrin-Riou Conjecture