The atomic structure of ancient flows. The proposed research aims to develop a novel approach to the analysis of ancient solutions to a very general class of (both extrinsic and intrinsic) geometric f

Description

The atomic structure of ancient flows. The proposed research aims to develop a novel approach to the analysis of ancient solutions to a very general class of (both extrinsic and intrinsic) geometric flows. The new ideas will lead to a complete classification of positively curved ancient solutions in low dimensions, which will have far-reaching consequences for the understanding of singularities in such equations, opening the door to many new and significant applications.. Scheme: ARC Future Fellowships. Field: 4904 - Pure Mathematics. Lead: Dr Mat Langford