Limites de représentations cristallines

2002/01/27 by Laurent Berger, Berger, Laurent · 34 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Bounded function #Combinatorics #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Political science #Pure mathematics #Representation (politics)

paper · pdf · doi:10.1112/s0010437x04000879

published in Compositio Mathematica 140(6), 1473-1498 (Cambridge University Press)

openalex publication_date 2004/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Let F be the fraction field of the ring of Witt vectors over a perfect field of characteristic p (for example -modules attached to crystalline representations, which allows us to improve some results of Fontaine, Wach and Colmez.

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• A note on reductions of 2-dimensional crystalline Galois representations
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• The Hecke Algebra T_k has Large Index
• Local Shtukas, Hodge-Pink Structures and Galois Representations
• Serre’s modularity conjecture (II)

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