# Constructing tame supercuspidal representations

## TL;DR

This paper introduces a new method for constructing tame supercuspidal representations of p-adic groups, linking it with Deligne-Lusztig theory for finite groups of Lie type.

## Contribution

It presents an innovative approach to Yu's construction, enhancing understanding of supercuspidal representations and their connections to finite group theory.

## Key findings

- New construction method for tame supercuspidal representations
- Connections established with Deligne-Lusztig representations
- Potential simplifications in representation theory of p-adic groups

## Abstract

A new approach to Jiu-Kang Yu's construction of tame supercuspidal representations of $p$-adic reductive groups is presented. Connections with the theory of cuspidal Deligne-Lusztig representations of finite groups of Lie type are also discussed.