Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) : acg,
Responsables :O. Biquard, J. Cao, I. Itenberg, X. Ma
Email des responsables : vincent.michel@imj-prg.fr
Salle : Barre 15-25, 5ème étage, salle 02
Adresse :Campus Pierre et Marie Curie
Description

Orateur(s) Valentina Disarlo - Indiana,
Titre Sur la géométrie du graphe des flips
Date19/01/2016
Horaire14:00 à 15:00
RésumeThe flip graph of an orientable punctured surface is the graph whose vertices are the ideal triangulations of the surface (up to isotopy) and whose edges correspond to flips. Its combinatorics is crucial in works of Thurston and Penner’s decorated Teichmuller theory. In this talk we will explore some geometric properties of this graph, in particular we will see that it provides a coarse model of the mapping class group in which the mapping class groups of some subsurfaces are strongly convex. We will also establish some bounds on the growth of the diameter of the flip graph modulo the mapping class group, extending a result of Sleator-Tarjan-Thurston. This is a joint work with Hugo Parlier.
SalleBarre 15-25, 5ème étage, salle 02
AdresseCampus Pierre et Marie Curie
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