ODE methods for constructing solitons with conical singularities in Mean Curvature and Ricci Flow
Sigurd Angenent (University of Wisconsin, Madison)
I will discuss joint (old) work with Ilmanen and Velazquez
and (new) work with Knopf on the construction of shrinking and expanding
solitons both for MCF and for RF. The solitons, which are constructed
by analyzing the system of ordinary differential equations that arise
after a suitable symmetry ansatz, define complete surfaces or metrics
whose ends are asymptotic to cones.