Type: 
General Event
Date-Time: 
Friday, February 20, 2015 - 12:00 to 12:50
Location: 
Gilk 113
Event Speaker: 
Prof. James Isenberg, Department of Mathematics, University of Oregon
Local Contact: 
Christine Escher, Department of Mathematics
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.