List's flow with surgery on three-manifolds

Florian Johne, University of Tuebingen
Fine Hall 314

List's flow is an extended Ricci flow system. The motivation to study this system on three-manifolds is two-fold: There is a connection to static solutions in General Relativity on one hand and a connection to Ricci flow on four-manifolds on the other hand. We describe a-priori estimates, which allow us to perform surgery in the spirit of Hamilton-Perelman. Moreover, we prove a finite time extinction result.