Department of Mathematics

Speaker: Willie Wong
Title: Asymptotic Behaviour of Solutions to the Lorentzian Constant Mean Curvature Flow
Affiliation: École Polytechnique Fédérale de Lausanne
Date: Wednesday, March 4, 2015
Place and Time: Room 201, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. We consider constant mean curvature hypersurfaces with time-like signature in Minkowski space from the point of view of their Cauchy problem. We discuss the asymptotic geometric structure of three special solutions: Minkowski hyperplane, the catenoidal static solution, and de Sitter space. We expose how the asymptotic geometry influences the global nonlinear stability of these solutions under small initial data perturbations.