Explicit reduction modulo p of certain crystalline representations

2008/04/08 by Kevin Buzzard, Buzzard, Kevin, Toby Gee +1
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.0804.1164

10 pages, appeared in IMRN 2009, no. 12. This version does not incorporate any minor changes (e.g. typographical changes) made in proof

arxiv created 2010/09/03 · arxiv updated 2010/09/07

Abstract

We use the p-adic local Langlands correspondence for GL₂(Q_p) to explicitly compute the reduction modulo p of crystalline representations of small slope, and give applications to modular forms.

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