Nonexistence results for solitons in the mean curvature flow
Nonexistence results for solitons in the mean curvature flow

Niels Moeller, Princeton University
Fine Hall 314
In this talk I will give a more refined quantitative understanding of some of the important known solitons in the ndimensional mean curvature flow in R^{n+1}. The global estimates in question follow by iteration of monotonicity formulae  an idea and technique which, while quite elementary in nature, appears to be particularly useful in several of such situations. The applications of the explicit estimates are many. I will focus mostly on the new nonexistence theorems that follow. Time permitting, I will also mention other, related consequences for the analysis of the soliton PDEs for the flow.