La conjecture des sous-groupes de surfaces (d'apr\`es Jeremy Kahn et Vladimir Markovic)

TL;DR

This paper discusses the proof of the surface subgroup conjecture, a significant result in geometric group theory, as presented in a Bourbaki seminar focusing on Jeremy Kahn and Vladimir Markovic's work.

Contribution

It provides an exposition of the proof of the surface subgroup conjecture by Kahn and Markovic, highlighting the key ideas and techniques involved.

Findings

Proof of the surface subgroup conjecture established

Key techniques involve hyperbolic geometry and surface subgroup constructions

Significant advancement in understanding surface groups in 3-manifolds

Abstract

This is the text of my Bourbaki seminar on the proof of the surface subgroup conjecture by Jeremy Kahn and Vladimir Markovic.