Ancient Solutions of Ricci flow with Type I curvature growth

01.12.2022, 14:15-15:45  –  2.22 und Zoom
Geometric Analysis, Differential Geometry and Relativity

Andoni Royo Abrego

Ancient solutions of geometric flows such as Ricci flow and Mean curvature flow arise naturally as models for singularity formation. There has been significant progress towards the classification of such solutions under natural  geometric assumptions. In this seminar I will survey some of these results for the Ricci flow as well as discuss a dimension reduction procedure for ancient solutions with optimal curvature growth. This leads to further classification  results in higher dimensions.
This talk is part of the seminar Geometric Analysis, Differential Geometry and Relativity organized by Carla Cederbaum (Uni Tübingen), Melanie Graf (Uni Tübingen), and Jan Metzger (Uni Potsdam) . To obtain the Zoom data please contact jan.metzger@uni-potsdam.de