Kähler-Ricci Flow with Cuspidal Spatial Asymptotic Behavior

GTA Seminar - Thursday 5 March 2015 from 12:00–13:00 in Carslaw 535A

Please join us for lunch after the talk!

Abstract

The general Kähler-Ricci flow over a complete non-compact manifold was set up in earlier joint work with Lott. It is shown there that flow of (superstandard) cuspidal spatial asymptotic behavior has the same cohomology characterization on optimal existence as that in the closed manifold setting. We now move on to investigate the convergence. More similarities with the closed manifold case are justified, which also helps in illustrating the direction for further works. The study naturally extends from the nondegenerate case to the degenerate case and is related to problems in algebraic geometry.

This is based on joint work with John Lott.