Correspondance de Langlands locale -adique et changement de poids

  • Pierre Colmez

    Université Pierre et Marie Curie, Paris, France
Correspondance de Langlands locale $p$-adique et changement de poids cover
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Abstract

If is a modular form of weight , the representation of attached to it by the -adic local Langlands correspondence encodes the representation attached by the classical correspondence. We introduce weight shifting techniques that allow us to extend the result to weight . We also give a full description of the Jordan–Hölder components of the locally analytic representations appearing in the correspondence.

Cite this article

Pierre Colmez, Correspondance de Langlands locale -adique et changement de poids. J. Eur. Math. Soc. 21 (2019), no. 3, pp. 797–838

DOI 10.4171/JEMS/851