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Potential automorphy and the Leopoldt conjecture
(Johns Hopkins University PressAmerican Journal of Mathematics, 2017-10-01)
We study in this paper Hida's p-adic Hecke algebra for GL_n over a CM field F. Hida has made a conjecture about the dimension of these Hecke algebras, which he calls the non-abelian Leopoldt conjecture, and shown that his ...