Arithmetic families of (\varphi, \Gamma)-modules and locally analytic representations of GL_2(Q_p)

Ildar Gaisin; Joaquin Rodrigues Jacinto

Arithmetic families of (\varphi, \Gamma)-modules and locally analytic representations of GL_2(Q_p)

Number Theory 2017-03-13 v2 Representation Theory

Authors: Ildar Gaisin , Joaquin Rodrigues Jacinto

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Abstract

We propose a p-adic Langlands correspondence in families.

Keywords

(φ, Γ)-modules arithmetic families locally analytic representations GL_2(Q_p) p-adic Langlands correspondence

Cite

@article{arxiv.1703.01627,
  title  = {Arithmetic families of (\varphi, \Gamma)-modules and locally analytic representations of GL_2(Q_p)},
  author = {Ildar Gaisin and Joaquin Rodrigues Jacinto},
  journal= {arXiv preprint arXiv:1703.01627},
  year   = {2017}
}