The Jacquet-Langlands correspondence via `-adic uniformization
نویسندگان
چکیده
منابع مشابه
8 On a p - adic extension of the Jacquet - Langlands correspondence to weight 1
In this paper, we consider a novel version of the classical Jacquet-Langlands correspondence, explore a p-adic extension of the correspondence , and as an explicit example we find an overconvergent automorphic form of weight 1 which corresponds to a classical modular form of weight 1, using both experimental and theoretical methods.
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We give a geometric proof of a “parity-switching” phenomenon that occurs when applying the local Langlands and Jacquet–Langlands correspondence to a self-dual supercuspidal representation ofGL(n) over a nonarchimedean local field. This turns out to reflect a duality property on the self-dual part of the `-adic étale cohomology of the Lubin–Tate tower.
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