Bushnell, Colin J. 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]. Cited in 1 Document 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 Keywords:cuspidal representations; intertwining; transfer; lifting; strata Citations:Zbl 1301.22011 PDFBibTeX XMLCite \textit{C. J. Bushnell}, Lond. Math. Soc. Lect. Note Ser. 414, 102--134 (2014; Zbl 1387.11090)