A local analysis of congruences in the \((p,p)\) case. I. (English) Zbl 1072.11506

Khare, Chandrashekhar

Compos. Math. 112, No. 3, 363-376 (1998).

Summary: Given an irreducible, modular, mod \(p\) representation \(p\), we analyse the local components at \(p\) of newforms \(f\) which give rise to it.

MSC:

11F33	Congruences for modular and \(p\)-adic modular forms
11F32	Modular correspondences, etc.
11F80	Galois representations
11F85	\(p\)-adic theory, local fields

Keywords:

Congruences; mod p representations; automorphic representations; newforms.