学术报告（陈炫涛 12.8）

We discuss the global stability problem for the Einstein-coupled system near Minkowski spacetime, especially the massless Einstein-Dirac system. We will start with previous results on related Einstein-coupled systems, and then review the formulation of the Dirac equation in curved spacetime. We then derive a quasilinear hyperbolic system, and adapt the system to the method of Lindblad-Rodnianski for the Einstein vacuum equation. We also derive the estimate for the Dirac equation itself, which is used to tackle the lack of decay in the interior. Our argument also gives a proof of local wellposedness in the massive case.