L'espace sym\'etrique de Drinfeld et correspondance de Langlands locale I

Haoran Wang

L'espace sym\'etrique de Drinfeld et correspondance de Langlands locale I

Number Theory 2014-11-06 v2 Representation Theory

Authors: Haoran Wang

Abstract

Let $K$ be a finite extension of $\mathbb{Q}_p$ . We study the geometry and cohomology of the tamely ramified cover of Drinfeld's symmetric space over $K.$ We prove, in a purely local way, that the cohomology in middle degree realises the local Langlands correspondence and local Jacquet-Langlands correspondence for the depth zero supercuspidal representations.

Keywords

drinfeld symmetric space langlands correspondence jacquet-langlands correspondence cohomology supercuspidal representations local fields tame ramification

Cite

@article{arxiv.1401.0530,
  title  = {L'espace sym\'etrique de Drinfeld et correspondance de Langlands locale I},
  author = {Haoran Wang},
  journal= {arXiv preprint arXiv:1401.0530},
  year   = {2014}
}

Comments

in French

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