Localization of smooth p-power torsion representations of GL_2(Q_p)

TL;DR

This paper demonstrates that the category of smooth p-power torsion representations of GL_2(Q_p) can be localized over a specific projective scheme, providing new insights and applications.

Contribution

It introduces a localization framework for smooth p-power torsion representations of GL_2(Q_p) over a projective scheme, which is a novel approach.

Findings

Category of representations localizes over a projective scheme

Provides applications of this localization framework

Establishes a new geometric perspective on torsion representations

Abstract

We show that the category of smooth representations of GL_2(Q_p) on p-power torsion modules localizes over a certain projective scheme, and give some applications.