Decomposition along flats for convex projective manifolds

Abstract: Real convex projective geometry generalizes hyperbolic geometry in a way that allows for interesting deformation theory and also aspects of non-positive curvature. In this talk I will introduce convex projective geometry, and we will discuss a natural decomposition of compact convex projective manifolds along their codimension-1 flat substructures. This extends a celebrated 2006 result of Benoist: a 'geometric JSJ-decomposition' for compact convex projective 3-manifolds to manifolds of every dimension (greater than 2).

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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