## On the mathematical theory of black holes III

I will discuss a recent result in collaboration with J. Szeftel concerning the nonlinear stability of the Schwarzschild spacetime under axially symmetric, polarized perturbations.

Sergiu Klainerman

Princeton University

October 18, 2017

I will discuss a recent result in collaboration with J. Szeftel concerning the nonlinear stability of the Schwarzschild spacetime under axially symmetric, polarized perturbations.

Sergiu Klainerman

Princeton University

October 17, 2017

I will discuss in some detail the main difficulties of the problem of nonlinear stability of black holes and the recent advances on the related issue of linear stability.

Yiannis Sakellaridis

Rutgers University; von Neumann Fellow, School of Mathematics

October 17, 2017

"Beyond endoscopy", broadly interpreted, is the idea that functoriality should be realized as a comparison between stable trace formulas. The nature of this comparison, however, remains completely unclear.

Sergiu Klainerman

Princeton University

October 16, 2017

On the reality of black holes. I will give a quick introduction to the initial value problem in GR and overview of the problems of Rigidity, Stability and Collapse and how they fit with regard to the Final State Conjecture.

Semyon Dyatlov

Massachusetts Institute of Technology

October 13, 2017

Stéphane Nonnemacher

Universite Paris-Sud

October 12, 2017

Frédéric Naud

Université Avignon

October 12, 2017

Frédéric Naud

Université Avignon

October 11, 2017

Semyon Dyatlov

Massachusetts Institute of Technology

October 11, 2017

Michael Magee

Durham University

October 11, 2017