Evolution problem in General Relativity

Series: 
School of Mathematics Colloquium
Thursday, January 27, 2011 - 11:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Princeton University
The talk will introduce basic mathematical concepts of General Relativity and review the progress, main challenges and open problems, viewed through the prism of the evolution problem. I will illustrate interaction of Geometry and PDE methods in the context of General Relativity on examples ranging from incompleteness theorems and formation of trapped surfaces to geometric properties of black holes and their stability.