Local Langlands correspondence in rigid families
نویسندگان
چکیده
منابع مشابه
Local Langlands Correspondence in Rigid Families
We show that local-global compatibility (at split primes) away from p holds at all points of the p-adic eigenvariety of a definite n-variable unitary group. The novelty is we allow non-classical points, possibly non-étale over weight space. More precisely we interpolate the local Langlands correspondence for GLn across the eigenvariety by considering the fibers of its defining coherent sheaf. W...
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We show that local-global compatibility away from p holds at points on the (p-adic) eigenvariety of a definite unitary group which are étale over weight space. The novelty is we allow non-classical points. More precisely we interpolate the local Langlands correspondence across the eigenvariety by considering the stalks of its defining coherent sheaf. We employ techniques of Scholze from his rec...
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The local Langlands correspondence for GL(n) of a non-Archimedean local field F parametrizes irreducible admissible representations of GL(n, F ) in terms of representations of the Weil-Deligne group WDF of F . The correspondence, whose existence for p-adic fields was proved in joint work of the author with R. Taylor, and then more simply by G. Henniart, is characterized by its preservation of s...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2020
ISSN: 1945-5844,0030-8730
DOI: 10.2140/pjm.2020.304.65