Lecture 1
April 14, 2017
2:00  3:00 pm
Room 507, Department of Mathematics, Columbia University

Speaker: Jérémie Szeftel (Laboratoire JacquesLouis Lions de l'Université Pierre et Marie Curie)
Title: Remarks on the nonlinear stability of Schwarzschild
Abstract: I will present a work in progress in collaboration with Sergiu Klainerman on the nonlinear stability of Schwarzschild for the Einstein vacuum equations under certain symmetry assumptions.

Lecture 2
April 14, 2017
3:304:30pm
Room 507, Department of Mathematics, Columbia University

Speakers: PeiKen Hung and Jordan Keller (Department of Mathematics, Columbia Universty)
Title: Linear stability of Schwarzschild spacetime
Abstract: We will discuss recent work, in collaboration with MuTao Wang, on the linear stability of the Schwarzschild spacetime. Our method employs Hodge decomposition to split linearized solutions into closed and coclosed portions, respectively identified with evenparity and oddparity solutions in the physics literature. For each portion, we derive ReggeWheeler type equations for decoupled, gaugeinvariant quantities at the linearized connection level. With the choice of an appropriate gauge, decay estimates on these decoupled quantities are used to establish decay of the linearized metric coefficients of the solution.
