On some partially de Rham Galois representations

Yiwen Ding

On some partially de Rham Galois representations

Number Theory 2015-09-02 v4

Authors: Yiwen Ding

Abstract

We study some partially de Rham representations of $\mathrm{Gal}(\bar{L}/L)$ for a finite unramified extension $L$ of $\mathbb{Q}_p$ . We study some related subspaces of Galois cohomology and of cohomology of $B$ -pairs. As an application, we associate a locally $\mathbb{Q}_p$ -analytic representation of $\mathrm{GL}_2(L)$ to a $2$ -dimensional trianguline representation of $\mathrm{Gal}(\bar{L}/L)$ , by generalizing Breuil's theory in the crystalline case.

Keywords

galois representations galois theory langlands correspondence

Cite

@article{arxiv.1410.4597,
  title  = {On some partially de Rham Galois representations},
  author = {Yiwen Ding},
  journal= {arXiv preprint arXiv:1410.4597},
  year   = {2015}
}

Comments

This paper has been withdrawn by the author, the result "partial non-critialness implies partial de Rhamness" has been merged into arXiv:1508.07420

On some partially de Rham Galois representations

Abstract

Keywords

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