An introduction to the theory of p-adic representations

By Laurent Berger. 2002

96 citations recorded by the source corpus.

The purpose of this informal article is to introduce the reader to some of the objects and methods of the theory of p-adic representations. My hope is that students and mathematicians who are new to the subject will find it useful as a starting point. It consists mostly of an expanded version of the notes for my two lectures at the "Dwork trimester" in June 2001.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9b38083419af9a70c879d1feb7cbffb96956f91e

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In Algebra and Number Theory

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

On Families of (',) -modules (2010, background): “In the absolute case, these have important applications to the study of de Rham representations, as shown by Berger; see for instance [1].”
A Local-Global Compatibility Conjecture in the p-adic Langlands Programme for GL 2/Q (2006, background): “The locally analytic induction is naturally identified (as a topological”
Cohomology of arithmetic families of (,Γ)-modules (2012, background): “The actions on the coefficients F ′ are the natural ones, ΓK through its quotient Gal(F ′/F ) and φ by Witt functoriality, but the actions on πK depend on its choice; see [6] for more discussion of these actions.”