Boundary Value Problems for the Lorentzian Dirac Operator

07.12.2017, 16:15  –  Haus 9, Raum 1.10
Forschungsseminar Differentialgeometrie

Sebastian Hannes

On a globally hyperbolic spacetime the Lorentzian Dirac Operator under APS boundary conditions is Fredholm and its kernel consists of smooth spinors. We will discuss a certain class of boundary conditions that are obtained by continuous deformations of the APS conditions. We will see under which assumptions these boundary conditions give again rise to a Fredholm operator and look at an approach to finding deformations such that the kernel again consists of smooth spinors.