

Geometrical finiteness in strictly convex projective geometry
By Pierre-Louis Blayac


Local minimization of fuzziness under high symmetry
By Franco Vargas Pallete


The shape of the limit cone for positive representations
By Jeffrey Danciger
By Alex Moriani
Appears in collection : 2025 - T2 - WS1 - Higher rank geometric structures, Higgs bundles and physics
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.