|Responsables :||L. Hauswirth, P. Laurain, R. Souam, E. Toubiana|
|Email des responsables :|
|Adresse :||Sophie Germain|
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|
|Horaire||13:30 à 15:00|
|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.