08.10.2024, 10:15 - 11:45
– 3.06.H02
Kálmán Lecture
Particle Methods in Machine Learning and Inverse Problems
Martin Burger, Helmholtz Imaging
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.