Causal variational principles and energy estimates for linearized fields

10.01.2019, 16:15  –  Haus 9, Raum 0.14
Forschungsseminar Differentialgeometrie

Felix Finster (Regensburg)

After a brief general introduction to causal fermion systems and causal variational principles, the concept of linearized fields is introduced. Formulating the Cauchy problem locally in so-called lens-shaped regions, I will explain how energy methods can be used to prove existence and uniqueness of solutions. The family of all lens-shaped regions give rise to causal structures in space-time. I will outline how to construct global solutions and Green's operators. This is joint work with Claudio Dappiaggi (Pavia) and Johannes Kleiner (Hannover).