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Effective local Langlands correspondence. (English) Zbl 1387.11090

Diamond, Fred (ed.) et al., Automorphic forms and Galois representations. Proceedings of the 94th London Mathematical Society (LMS) – EPSRC Durham symposium, Durham, UK, July 18–28, 2011. Volume 1. Cambridge: Cambridge University Press (ISBN 978-1-107-69192-6/pbk; 978-1-107-44633-5/ebook). London Mathematical Society Lecture Note Series 414, 102-134 (2014).
Summary: This is an overview of an extended programme of joint work with Guy Henniart, aimed at rendering the local Langlands correspondence effective as a tool for local investigations. It is intended to serve as an introduction to recent results in [the author and G. Henniart, Mem. Am. Math. Soc. 1087, iii-v, 88 p. (2014; Zbl 1301.22011)].
For the entire collection see [Zbl 1310.11002].

MSC:

11S37 Langlands-Weil conjectures, nonabelian class field theory
11F70 Representation-theoretic methods; automorphic representations over local and global fields
22E50 Representations of Lie and linear algebraic groups over local fields

Citations:

Zbl 1301.22011
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