Séminaire Cirget

Conférencier: Alix Deruelle, Sorbonne Université

Résumé / Abstract: Expanding self-similar solutions of the Ricci flow are solutions which evolve by scaling and diffeomorphisms only. Such solutions are also called expanding gradient Ricci solitons. These "canonical" metrics are potential candidates for smoothing out isolated singularities instantaneously. These heuristics apply to the Kähler-Ricci flow too. In this talk, we ask the question of uniqueness of such self-similar solutions coming out of a given metric cone over a smooth link. As a first step, we make sense of a suitable Lyapunov functional also called relative entropy in this setting. 

Le lien pour se connecter est: https://uqam.zoom.us/j/98999725241