## Polyhedral surfaces in Cauchy-compact $3$-dimensional flat spacetimes with BTZ-like singularities with help from Teichmüller

Type:
Site:
Date:
20/02/2017 - 13:30 - 14:30
Salle:
2015
Orateur:
BRUNSWIC Léo
Localisation:
Université d'Avignon
Localisation:
France
Résumé:

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.