Seminar
“Generalized limits with invariance properties. 2.”
TBA
TBA
TBA
TBA
The classification of one-manifolds: a take-home exam
The Geometry of the Conformal Vacuum Equations of Space-Time
Abstract:
Self-dual vacuum spacetimes are known to be integrable following the work of Ted Newman and Roger Penrose. We will discuss the question of integrability in the case that the self-duality condition is dropped.
Generalized Cross-Ratios and Transversals
Abstract:
After introducing the standard cross-ratio, we discuss a generalization of the cross-ratio to higher-dimensional Grassmannians. As an application, we give a short proof of the following theorem in projective geometry: Any four n-plane subspaces in general position in a projective space of dimension 2n+1 over an algebraically closed field have exactly n+1 common transversals.