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Patching and the $p$-adic local Langlands correspondence

  • Caraiani A
  • Emerton M
  • Gee T
  • et al.
Cambridge Journal of Mathematics (2016) 4(2) 197-287
DOI: 10.4310/cjm.2016.v4.n2.a2
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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.

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APA

Caraiani, A., Emerton, M., Gee, T., Geraghty, D., Paškūnas, V., & Shin, S. W. (2016). Patching and the $p$-adic local Langlands correspondence. Cambridge Journal of Mathematics, 4(2), 197–287. https://doi.org/10.4310/cjm.2016.v4.n2.a2

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