Type I singularities and ancient solutions of homogeneous Ricci flow
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Thu, 13/10/2011 12:00 |
Maria Buzano |
Junior Geometry and Topology Seminar  |
L3 |
| We will present a class of compact and connected homogeneous spaces such that the Ricci flow of invariant Riemannian metrics develops type I singularities in finite time. We will describe the singular behaviours that we can get, as we approach the singular time, and the Ricci soliton that we obtain by blowing up the solution near the singularity. Finally, we will investigate the existence of ancient solutions when the isotropy representation decomposes into two inequivalent irreducible summands. | |||