G. Franz, L. Hauswirth, P. Laurain, R. Petrides, R. Souam
Email des responsables :
Salle :
1013
Adresse :
Sophie Germain
Description
Hébergé par le projet Géométrie et Dynamique de l’IMJ-PRG
Orateur(s)
Léo BRUNSWIC - Avignon,
Titre
Polyhedral surfaces in Cauchy-compact 3-dimensional flat spacetimes with BTZ-like singularities with help from Teichmüller
Date
20/02/2017
Horaire
13:30 à 15:00
Diffusion
Résume
In the 1990's, T'Hooft suggested to study 3-dimensional singular flat spacetimes with polyhedral Cauchy-surfaces as toy model to understand quantum gravity. This motivates the study of singular spacetimes however the type of a singularity in a Lorentzian manifold depends on both the type of the axis and the causality around it which strongly contrast with the riemannian context. BTZ-like singularities are limit cases of "massive particles" which are close Lorentzian equivalent to conical singularities.
We present some classification results on Cauchy-compact spacetimes with BTZ and present ramifications of the convex hull method used by Penner to construct a cellulation of his decorated Teichmüller space.
