Explicit reduction modulo $p$ of certain crystalline representations

Mathematics – Number Theory

Scientific paper

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

Scientific paper

We use the p-adic local Langlands correspondence for GL_2(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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