Presented by: 
Andree Lischewski, HU Berlin
Date: 
Tue 12 May, 3:00 pm - 4:00 pm
Venue: 
Building 67, room 442

At the beginning of the talk I will review some aspects of Lorentzian spin geometry and discuss and motivate the emergence of parallel spinor fields in various geometric situations. Based on this, I will explain a new construction principle for Lorentzian manifolds with parallel spinors based on the analysis of constraint and evolution equations. These are obtained by evaluating the curvature integrability conditions for the existence of parallel spinors. Finally, I will compare these results to a similar Cauchy problem in Riemannian signature. This is a joint project with Helga Baum (HU Berlin) and Thomas Leistner (University of Adelaide).