# Distinction of representations via Bruhat-Tits buildings of p-adic groups

## TL;DR

This paper provides an introductory and pedagogical overview of the distinction of representations of p-adic groups using Bruhat-Tits buildings, simplifying proofs from previous work.

## Contribution

It offers a simplified, pedagogical exposition of the distinction of p-adic group representations via Bruhat-Tits buildings, building on and clarifying prior results.

## Key findings

- Simplified proofs of distinction criteria
- Enhanced pedagogical presentation
- Connections between Bruhat-Tits buildings and representation distinction

## Abstract

Introductory and pedagogical treatmeant of the article : P. Broussous "Distinction of the Steinberg representation", with an appendix by Fran\c{c}ois Court\`es, IMRN 2014, no 11, 3140-3157. To appear in Proceedings of Chaire Jean Morlet, Dipendra Prasad, Volker Heiermann Ed. 2017. Contains modified and simplified proofs of loc. cit. This article is written in memory of Fran\c{c}ois Court\`es who passed away in september 2016.