A geometric interpretation of Newton strata

TL;DR

This paper provides a geometric interpretation of Newton strata in reductive p-adic groups, enhancing understanding of their structure and role in representation theory.

Contribution

It introduces a novel geometric perspective on Newton strata, linking algebraic and geometric aspects in p-adic group theory.

Findings

Provides a geometric framework for Newton strata

Clarifies the role of Newton strata in representation theory

Bridges algebraic and geometric approaches in p-adic groups

Abstract

The Newton strata of a reductive $p$-adic group are introduced in \cite{Newton} and play some role in the representation theory of $p$-adic groups. In this paper, we give a geometric interpretation of the Newton strata.