Department of Mathematics

Department of Mathematics Seminars and Talks

 

Seminar

Fields Geometric Analysis Colloquium

Talk Information
Title
Decay for Vlasov fields on the exterior of Schwarzschild black holes
Start date and time
15:30 on Tuesday April 22, 2025
Duration in minutes
60 (until 16:30 on Tuesday April 22, 2025)
Room
FI210, Fields Institute, 222 College St.
Streaming link
Streaming password
External video link
Abstract

In this talk, I will present decay properties for massless and massive Vlasov fields on the exterior of Schwarzschild spacetimes. In these geometric backgrounds, Vlasov fields are transported along the geodesic flow. An important difficulty of the problem is the existence of trapped geodesics. We deal with these, by using expansion and contraction properties of the geodesic flow. This work is motivated by the study of self-gravitating collisionless systems on black hole exteriors. This is partly based on joint work with Léo Bigorgne (Université de Rennes).

Speaker Information
Full Name
Renato Velozo Ruiz
Personal website
Institution
University of Toronto
Institution URL