Analysis Seminar

Global nonlinear stability of self-gravitating matter: an introduction

Speaker: Philippe G. LeFloch, Sorbonne Univ. Paris

Location: Warren Weaver Hall 1302

Date: Wednesday, December 5, 2018, 11 a.m.


I will give a non-technical overview of my recents results about
the Einstein equations for matter fields evolving under their own
gravitational field. The study of the global evolution problem for matter
fields and nonlinear propagation phenomena in spacetimes requires a
combination of many ideas from differential geometry, nonlinear hyperbolic
PDE theory, nonlinear elliptic PDE theory, and numerical analysis.