Ricci Solitons Days in Pisa 2011

Homogeneous Ricci Solitons

speaker: Jorge Lauret (Universidad Nacional de Cordoba)

abstract: The only known examples of nontrivial Ricci solitons which are homogeneous are certain left-invariant metrics on simply connected solvable Lie groups satisfying a condition that is very `algebraic' in nature (called solvsolitons). We will survey in the talk, after some preliminaries on these algebraic solitons and the Ricci flow for homogeneous manifolds (including convergence issues), some advances toward a complete proof of the Generalized Alekseevskii Conjecture: any homogeneous nontrivial Ricci soliton is isometric to a solvsoliton.

timetable:
Wed 6 Apr, 11:30 - 12:30, Aula Dini
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