Serre's modularity conjecture (II)

C Khare, JP Wintenberger - Inventiones mathematicae, 2009 - Springer
Serre’s modularity conjecture (II) Page 1 Invent math (2009) 178: 505–586 DOI 10.1007/s00222-009-0206-6
Serre’s modularity conjecture (II) Chandrashekhar Khare · Jean-Pierre Wintenberger …

[PDF][PDF] Galois representations and Lubin-Tate groups

M Kisin, W Ren - Documenta Mathematica, 2009 - emis.de
Galois Representations and Lubin-Tate Groups Page 1 Documenta Math. 441 Galois
Representations and Lubin-Tate Groups Mark Kisin and Wei Ren Received: May 3, 2009 …

On Serre's conjecture for 2-dimensional mod p representations of Gal (ℚ/ℚ)

C Khare, JP Wintenberger - Annals of mathematics, 2009 - JSTOR
We prove the existence in many cases of minimally ramified p-adic lifts of 2-dimensional
continuous, odd, absolutely irreducible, mod p representations p̄ of the absolute Galois …

Witt vectors. part 1

M Hazewinkel - Handbook of algebra, 2009 - Elsevier
Publisher Summary This chapter discusses the aspects of Symm, which relate directly to the
Witt vector constructions and their properties. The Witt vector construction is a very beautiful …

On Serre's conjecture for 2-dimensional mod p representations of

C Khare, JP Wintenberger - Annals of Mathematics, 2009 - annals.math.princeton.edu
We prove the existence in many cases of minimally ramified $ p $-adic lifts of 2-dimensional
continuous, odd, absolutely irreducible, mod $ p $ representations $\overline {\rho} $ of the …

On trivial zeros of Perrin-Riou's -functions

D Benois - arXiv preprint arXiv:0906.2862, 2009 - arxiv.org
arXiv:0906.2862v1 [math.NT] 16 Jun 2009 Page 1 arXiv:0906.2862v1 [math.NT] 16 Jun 2009 ON
TRIVIAL ZEROS OF PERRIN-RIOU’S L-FUNCTIONS Denis Benois April 2009 Abstract. In the …

[PDF][PDF] An algorithm for computing the reduction mod p of 2-dimensional crystalline representations

L Berger - preprint, 2009 - Citeseer
We give an algorithm for computing the reduction modulo p of 2-dimensional crystalline
representations of Gal (Qp/Qp). This algorithm relies on Fontaine's theory of (ϕ, Γ)-modules …

[PDF][PDF] Moduli Spaces of p-divisible Groups and Period Morphisms

W Haoran - webusers.imj-prg.fr
In their book [33] Rapoport and Zink fix an isocrystal (D, ϕD) over Fp and consider the partial
flag variety F over K0:= W (Fp)[1/p] parametrizing filtrations of D with fixed Hodge-Tate …

[PDF][PDF] Serre 予想の証明: 一般の場合

山内卓也 - R= T の最近の発展-佐藤・Tate 予想とSerre 予想-」 …, 2009 - kurims.kyoto-u.ac.jp
本稿の目的は Khare と Wintenberger による Serre 予想の証明 [35],[36] を解説することである.
証明で使われる重要な結果は法 p Galois 表現のほとんど厳整合系への極小持ち上げ定理 …