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What is a mod l Langlands correspondence for GL_n(Q_p) ?
If you have a question about this talk, please contact Teruyoshi Yoshida.
In 2001, Vigneras constructed a bijection between irreducible mod l representations of a p-adic GL(n) and Weil-Deligne representations mod l. More recently, Emerton and Helm introduced a very different type of correspondence that maps any Galois mod l representation to a possibly non-irreducible representation of GL(n). While the latter construction has a clear number-theoretic and global motivation, the former one appears as a mere representation-theoretic and local result. We will however explain a geometric interpretation of the former one, and speculate on a possible common refinement of both correspondences.
This talk is part of the Number Theory Seminar series.
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