# Niky Kamran

## CONFÉRENCIER: Niky Kamran (McGill University)

**Le vendredi 26 septembre 2014 / Friday, September 26, 2014**

**General Relativity, Differential Geometry and Partial Differential Equations; stories from a successful menage-a-trois**

RESUME / ABSTRACT : It is well known that Einstein's general theory of relativity provides a geometrical description of gravity in terms of space-time curvature. Einstein's theory poses some fascinating and difficult mathematical challenges that have stimulated a great deal of research in geometry and partial differential equations. Important questions include the well-posedness of the evolution problem, the definition of mass and angular momentum, the formation of black holes, the cosmic censorship hypothesis, the linear and non-linear stability of black holes and singular boundary value problems arising in the analysis of the AdS/CFT correspondence. I will give a non-technical survey of some significant advances and open problems pertaining to some of these questions. La partie scientifique de la conference sera donnée en anglais, mais l'expose commencera et se terminera en français.

### LIEU / VENUE

Salle / Room 1355

Centre de recherches mathématiques

Pavillon André-Aisenstadt

Université de Montréal

2920, chemin de la Tour

16 h / 4:00 p.m.