Sur un th\'eor\`eme de Lang-Weil tordu, d'apr\`es E. Hrushovski, K. V. Shuddhodan et Y. Varshavsky

TL;DR

This paper discusses the twisted Lang-Weil estimates, presenting notes on Hrushovski's theorem and recent proofs by Shuddhodan and Varshavsky, contributing to algebraic geometry and model theory.

Contribution

It provides a detailed exposition of the twisted Lang-Weil estimates, highlighting recent advances and proofs in the field.

Findings

Clarification of Hrushovski's theorem

Summary of Shuddhodan and Varshadsky's proof

Implications for algebraic geometry

Abstract

These are the notes (in French) for a Bourbaki talk on the twisted Lang-Weil estimates of Hrushovski, following a recent proof of Shuddhodan and Varshavsky.