A quotient of the Lubin-Tate tower

2016/11/11 by Judith Ludwig, Ludwig, Judith · 1 citation
Mathematics · #11S37 #14G22 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1611.03685

openalex publication_date 2016/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we show that the quotient of the Lubin-Tate space at infinite level by the Borel subgroup of upper triangular matrices in GL(2,Q_p) exists as a perfectoid space. As an application we show that Scholze's functor Hⁱ_et(P¹,F(pi)) is concentrated in degree one whenever pi is a principal series representation or a twist of the Steinberg representation of GL(2,Q_p).

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• On the finite length of some p-adic representations of the quaternion algebra over \Q_p

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