Patching and the p-adic local Langlands correspondence
classification
🧮 math.NT
keywords
correspondencelanglandslocalp-adicpatchingbreuil--schneidercandidatecases
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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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