Complex hyperbolic and projective deformations of Kleinian groups

Abstract: We consider deformations of discrete subgroups (in particular lattices) of SO(3,1) into the larger Lie groups SU(3,1) and SL(4,R). In particular, when such deformations exist we would like to know whether or not they remain discrete and faithful in some neighborhood of the inclusion. We will review results of Cooper-Long-Thistlethwaite and Ballas-Danciger-Lee in the manifold case, then discuss recent joint work with Morwen Thistlethwaite for certain Bianchi groups.

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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