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- W2953356871 abstract "In this paper, we give a purely geometric approach to the local Jacquet-Langlands correspondence for GL(n) over a p-adic field, under the assumption that the invariant of the division algebra is 1/n. We use the l-adic etale cohomology of the Drinfeld tower to construct the correspondence at the level of the Grothendieck groups with rational coefficients. Moreover, assuming that n is prime, we prove that this correspondence preserves irreducible representations. This gives a purely local proof of the local Jacquet-Langlands correspondence in this case. We need neither a global automorphic technique nor detailed classification of supercuspidal representations of GL(n)." @default.
- W2953356871 created "2019-06-27" @default.
- W2953356871 creator A5084906138 @default.
- W2953356871 date "2011-12-28" @default.
- W2953356871 modified "2023-09-25" @default.
- W2953356871 title "Geometric approach to the local Jacquet-Langlands correspondence" @default.
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