Ancient solutions to geometric flows

Ancient solutions to geometric flows

-
Panagiota Daskalopoulos , Columbia University
Rutgers - Hill Center, Room 705

We will discuss  ancient   or eternal solutions to  geometric parabolic partial differential equations.  These are  special  solutions that  appear as blow up limits near a singularity. They often represent  models of ingularities.  We will address  the  classification of  ancient  solutions to geometric flows such as the Mean Curvature flow,  the Ricci  flow and  the Yamabe flow, as well as methods of  constructing new ancient solutions from  the gluing of two or more solitons.  We will also include  future  research  directions.