Patching and the p-adic local Langlands correspondence

2013/10/02 by Caraiani, Ana, Emerton, Matthew, Gee, Toby +3 · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1310.0831

Abstract

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.

Cited by

• On the finite length of some p-adic representations of the quaternion algebra over \Q_p

Related

• The local Langlands correspondence for GL(n) over p-adic fields
• On the geometrization of the p-adic local Langlands correspondence
• p-adic Jacquet-Langlands correspondence and patching
• Correspondance de Langlands locale p-adique et anneaux de Kisin
• The Local Langlands correspondence for \GL_n over p-adic fields