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

Polygonal surfaces in pseudo-hyperbolic spaces

21 mai 2025, 11:00
1h
Amphithéâtre Hermite (Institut Henri Poincaré)

Amphithéâtre Hermite

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Orateur

Alex Moriani (Université Côte d'Azur)

Description

A polygonal surface in the pseudo-hyperbolic space is a complete maximal surface bounded by a lightlike polygon with finitely many vertices. Among maximal surfaces, polygonal surfaces admit several characterizations : being asymptotically flat or having finite total curvature. In this talk we will explain some constructions coming from nonpositive curvature geometry to prove the equivalence, for a maximal surface, between being polygonal and having finite total curvature.

Documents de présentation

Aucun document.