Explore the mathematical foundations of general relativity through this comprehensive trimester program celebrating the 100th anniversary of Einstein's theory. Delve into two major course sequences: "On The Mathematical Theory of Black Holes" by Sergiu Klainerman from Princeton University, and "An Introduction to Self-Gravitating Matter" by Philippe LeFloch from the Laboratoire Jacques-Louis Lions. Master advanced topics including the nonlinear stability of Minkowski space for massive fields, the mathematical theory of black holes, and self-gravitating matter systems. Examine cutting-edge research through lectures on the stability problem for black holes, the interior dynamics of vacuum black holes, global existence theorems for Einstein equations with massive scalar fields, and the structure of cosmological singularities. Learn from leading experts including Roger Penrose on palatial twistor theory, Robert Wald on thermodynamic stability of black holes, Demetrios Christodoulou on the two-body problem in general relativity, and Thibault Damour on cosmological singularities. Gain insights into weakly regular spacetimes, modified gravity theories, dynamics in asymptotically AdS spacetimes, and the geometric foundations underlying general relativity theory.

Syllabus

27/11/2015 - Philippe G LeFloch - Lec. 7 - Nonlinear stability of Minkowski space for massive fields
24/11/2015 - Sergiu Klainerman - Lecture 5 - On The Mathematical Theory of Black Holes
17/11/2015 - Jérémie Szeftel - Remarks on the nonlinear stability of Schwarzschild
19/11/2015 - Thibault Damour - The Structure of Cosmological Singularities
17/11/2015 - Qian Wang - Global Existence for the Einstein Equations with Massive Scalar Fields
20/11/2015 - Richard Schoen - Localizing Solutions of the Einstein Equations
19/11/2015 - Gustav Holzegel - The Linear Stability of the Schwarzschild Solution
19/11/2015 - Jacques Smulevici - Dynamics in asymptotically AdS spacetimes
20/11/2015 - Georges Ellis - The Steps Along The Way Whereby Einstein’s General Theory...
19/11/2015 - Demetrios Christodoulou - The Formulation of the Two-Body Problem in General Relativity
17/11/2015 - Mihalis Dafermos - The stability problem for black holes...
17/11/2015 - Jonathan Luk - Interior of Dynamical Vacuum Black Holes
16/11/2015 - Jean Philippe Uzan - Introduction
16/11/2015 - Roger Penrose - Palatial Twistor Theory: a Quantum Approach to Classical Space-Time
16/11/2015 - Jean-Pierre Bourguignon - General Relativity and Geometry
16/11/2015 - Robert Wald - Dynamic and Thermodynamic Stability of Black Holes and Black Branes
13/11/2015 - Philippe G. LeFloch - Lecture 6 - The geometry of weakly regular spacetimes
10/11/2015 - Sergiu Klainerman - Lecture 4 - On The Mathematical Theory of Black Holes
06/11/2015 - Philippe G. LeFloch - Lecture 5 - Self-gravitating fluids with bounded variation
03/11/2015 - Sergiu Klainerman - Lecture 3 - On The Mathematical Theory of Black Holes
30/10/2015 - Philippe G. LeFloch - Lecture 4 - Weakly regular Cauchy developments
23/10/2015 - Philippe G. LeFloch - Lecture 3 - Weak solutions to the Einstein equations
20/10/2015 - Sergiu Klainerman - Lecture 2 - On The Mathematical Theory of Black Holes
16/10/2015 - Philippe G. LeFloch - Lecture 2 - Modified gravity and weakly regular spacetimes
16/10/2015 - Sergiu Klainerman - Lecture 1 - On The Mathematical Theory of Black Holes
9/10/2015 - Philippe G. LeFloch - Lecture 1 - An Introduction to Self-Gravitating Matter