Nonlinear Waves Trimester - May Conference

Collection Nonlinear Waves Trimester - May Conference

Organizer(s) Frank MERLE (Université de Cergy-Pontoise & IHÉS), Pierre RAPHAËL (Université Nice Sophia-Antipolis), Nikolay TZVETKOV (Université de Cergy-Pontoise)

Date(s) 23/05/2016 - 27/05/2016

linked URL https://indico.math.cnrs.fr/event/889/

00:00:00 / 00:00:00

6 21

Sharp local decay estimates for the Ricci flow on surfaces

By Peter Topping

There are many tools available when studying 2D Ricci flow, equivalently the logarithmic fast diffusion equation, but one has always been missing: how do you get uniform smoothing estimates in terms of local L^1 data, i.e. in terms of local bounds on the area. The problem is that the direct analogue of the geometrically less-useful L^p smoothing estimates for p bigger than 1 are simply false. In this talk I will explain this problem in more detail, and show how to get around it with a new local decay estimate. I also plan to sketch the proof and/or give some applications. No knowledge of Ricci flow will be assumed

Information about the video

Date of recording 24/05/2016
Date of publication 03/06/2016
Institution IHES
Format MP4

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