Event Type:

Geometry-Topology Seminar

Date/Time:

Friday, February 20, 2015 - 12:00 to 13:00

Location:

Gilk 113

Guest Speaker:

Institution:

University of Oregon

Abstract:

Neckpinch singularities are a prevalent feature of Ricci flow, and recent work has given us a good picture of their asymptotic behavior, so long as the geometries are rotationally symmetric. We discuss this asymptotic behavior, both for degenerate and non-degenerate neckpinches. It has been conjectured that neckpinch singularities which develop in non-rotationally symmetric Ricci flows do asymptotically approach roundness, and consequently have very similar asymptotic behavior to those which are rotationally symmetric. We discuss very recent work which supports this conjecture.

Host: