Topology Seminar (Introductory Talk): Ricci flow with surgery and the classification of 3-manifolds

Seminar | January 31 | 2-3 p.m. | 740 Evans Hall

 Richard Bamler, UC Berkeley

 Department of Mathematics

I will give an accessible introduction to Ricci flow in low dimensions, highlighting its connection to the study of the corresponding static equation, the Einstein equation, and to related topological theorems, such as the Uniformization theorem and the Poincaré and Geometrization Conjectures. I will then discuss the singularity formation of such flows and provide an overview of Perelman’s Ricci flow with surgery. Lastly, I will sketch the proof of the Geometrization Conjecture using Ricci flow with surgery and discuss further developments in this field.