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Patching and the p-adic local Langlands correspondence

Ana Caraiani, Matthew Emerton, Toby Gee, David Geraghty, Vytautas Paskunas, Sug Woo Shin

Number 13
Author Vytautas Paškūnas
Year 2013

We use the patching method of Taylor--Wiles and Kisin to construct a candidate for the p-adic local Langlands correspondence for GL_n(F), F a finite extension of Q_p. We use our construction to prove many new cases of the Breuil--Schneider conjecture.

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