# Smoothing cones of nonnegative scalar curvature via Ricci expanders

## Location

383N

Wednesday, March 22, 2023 4:30 PM

Eric Chen (UC Berkeley)

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.