We show that immortal homogeneous Ricci flow solutions subconverge (after suitable
rescalings) to a homogeneous expanding soliton. A key step in the proof of this result
is the construction of a new Lyapunov function, using methods from geometric invariant theory.
Then, several applications to homogeneous Ricci flow solutions on solvable Lie groups will be given.
|Where?||PER 08 Phys 2.52
Chemin du Musée 3
|Contact||Department of Mathematics