[图书][B] Galois Representations and (phi, Gamma)-modules

P Schneider - 2017 - books.google.com
Understanding Galois representations is one of the central goals of number theory. Around
1990, Fontaine devised a strategy to compare such p-adic Galois representations to …

On pairs of p-adic L-functions for weight-two modular forms

F Sprung - Algebra & Number Theory, 2017 - msp.org
The point of this paper is to give an explicit p-adic analytic construction of two Iwasawa
functions, L p♯(f, T) and L p♭(f, T), for a weight-two modular form∑ anqn and a good prime …

[HTML][HTML] On the reduction modulo p of certain modular p-adic Galois representations

A Ganguli - Journal of Number Theory, 2017 - Elsevier
We determine the possible Serre weights associated to certain Hilbert modular forms when
the rational prime p is totally ramified in the totally real field F. Our weight lowering method …

Iwasawa modules and p-modular representations of GL2

S Morra - Israel Journal of Mathematics, 2017 - Springer
Let F be a finite extension of Q p. We associate, to certain smooth pmodular representations
π of GL 2 (F), a module S (π) S (π) on the mod-p Iwasawa algebra of the standard Iwahori …