Local Langlands in Rigid Families
نویسنده
چکیده
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 recent new approach to the local Langlands conjecture.
منابع مشابه
Local Langlands Correspondence in Rigid Families
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تاریخ انتشار 2016