A relative entropy for expanders of the Ricci flow (joint work with Felix Schulze, Warwick University)

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.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

[[Please leave your micro off when entering the seminar room and provide your family name and first name in order to be identified by the speaker.]]

The livestream is on Zoom at : uqam.zoom.us/j/98999725241 (no password is needed).

The recorded talks can be found at CIRGET channel : www.youtube.com/channel/UCLkFm-uEvXSf9y-iQtWOLWA