08.05.2025, 16:15
– Haus 9, Raum 1.22
Forschungsseminar Differentialgeometrie
Scalar Curvature Rigidity and Higher Index Theory
Thomas Tony
Rubens Longhi
The usual notion of wavefront set identifies the directions along which a distribution \(u\) fails to be smooth. We present an equivalent definition that makes use of the Radon transform and which is suitable for a refinement of the notion of wavefront set. The aim is to define \(\mathcal{WF_F}\)identifying the directions along which \(u \) fails to have a certain regularity \(\mathcal{F}\), for example Sobolev regularity \(H^s\) and possibly extend the theorems about the propagation of singularities to this setting.