Analysis and Mathematical Physics

Spacetimes formed from the cartesian product of Minkowski space and a flat torus play an important role as toy models for theories of supergravity and string theory. In this talk, I will discuss an upcoming work, joint with Huneau and Stingo, showing the nonlinear stability of such a Kaluza-Klein spacetime. I will also explain how our result is connected to some earlier work of Witten.