First covering of the drinfel’d upper half-plane and banach representations of GL2.(ℚp)

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Abstract

For an odd prime p, we construct some admissible Banach representations of GL2.(ℚp) that conjecturally should correspond to some 2-dimensional tamely ramified, potentially Barsotti-Tate representations of Gal(ℚp/ℚp) via the p-adic local Langlands correspondence. To achieve this, we generalize Breuil’s work in the semistable case and work on the first covering of the Drinfel;d upper half-plane. Our main tool is an explicit semistable model of the first covering.

Original languageAmerican English
Pages (from-to)405-503
Number of pages99
JournalAlgebra and Number Theory
Volume11
Issue number2
DOIs
StatePublished - 2017

ASJC Scopus subject areas

  • Algebra and Number Theory

Keywords

  • Drinfel’d upper half-plane
  • p-adic local Langlands correspondence of GL(ℚ)

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