Seminar

Smoothing cones of nonnegative scalar curvature via Ricci expanders

Speaker
Eric Chen (UC Berkeley)
Date
Wed, Mar 22 2023, 4:30pm
Location
383N

In dimensions four and higher, the Ricci flow may encounter singularities modelled on cones with nonnegative scalar curvature.  It may be possible to resolve such singularities and continue the flow using expanding Ricci solitons asymptotic to these cones, if they exist.  I will discuss joint work with Richard Bamler in which we develop a degree theory for four-dimensional asymptotically conical expanding Ricci solitons, which in particular implies the existence of expanders asymptotic to a large class of cones.