19–27 mai 2025
Institut Henri Poincaré
Fuseau horaire Europe/Paris

Finite orbits of the mapping class group action on the character variety of the punctured sphere in $\mathrm{SL}(2,\mathbb{C})$

27 mai 2025, 14:30
1h
Amphithéâtre Hermite (Institut Henri Poincaré)

Amphithéâtre Hermite

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Orateur

Samuel Bronstein (Ecole Normale Supérieure)

Description

We classify finite orbits of the mapping class group action of the punctured sphere in $\mathrm{SL}(2,\mathbb{C})$, relying on the case of the 4-punctured sphere done by Lysovyy and Tykhyy, and on a careful understanding of compact relative character varieties of the punctured sphere in $\mathrm{SL}(2,\mathbb{R})$. This is joint work with Arnaud Maret.

Documents de présentation

Aucun document.