Blocks for mod p representations of GL2 (Qp)

V Paškunas - Automorphic forms and Galois representations, 2014 - books.google.com
Let π1 and π2 be absolutely irreducible smooth representations of G= GL2 (Qp) with a
central character, defined over a finite extension of F p. We show that if there exists a non …

[PDF][PDF] The weight in Serre's conjecture for GSp4

T Yamauchi - arXiv preprint arXiv:1410.7894, 2014 - Citeseer
In this paper we investigate the (classical) weights of mod p Siegel modular forms of degree
2 toward Serre's conjecture for GSp4. To carry out it, we first construct various theta …

The -adic local Langlands correspondence for

P Colmez, G Dospinescu, V Paškūnas - Cambridge Journal of …, 2014 - intlpress.com
The $ p $-adic local Langlands correspondence for ${\rm GL} _2 (\mathbb {Q} _p) $ is given
by an exact functor from unitary Banach representations of ${\rm GL} _2 (\mathbb {Q} _p) …

The weight reduction of mod Siegel modular forms for

T Yamauchi - arXiv preprint arXiv:1410.7894, 2014 - arxiv.org
In this paper we investigate the (classical) weights of mod $ p $ Siegel modular forms of
degree 2 toward studying Serre's conjecture for $ GSp_4 $. We first construct various theta …

Irreducible modular representations of the Borel subgroup of GL2 (Qp)

L Berger, M Vienney - Automorphic forms and Galois …, 2014 - books.google.com
Let E be a finite extension of F p. Using Fontaine's theory of (ϕ,)-modules, Colmez has
shown how to attach to any irreducible E-linear representation of Gal (Qp/Qp) an infinite …