Title	Analysis on path space, Einstein metrics and Ricci flow
Creator	Haslhofer, Robert
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2021-03-10T10:11
Description	I will survey how analysis on path space can be used in the study Ricci curvature. As a motivation, I will start by discussing Driverâ s foundational work on quasi-invariance and integration by parts on path space. Next, I will discuss joint work with Aaron Naber, which characterizes solutions of the Einstein equations and the Ricci flow in terms of certain sharp estimates on path space. In particular, this motivates a notion of weak solutions. Finally, I will mention joint work with Beomjun Choi, where we prove that noncollapsed limits are indeed weak solutions.
Extent	50.0 minutes
Subject	Mathematics; Probability Theory And Stochastic Processes; Global Analysis; Analysis On Manifolds
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Toronto
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-09-07
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0401928
URI	http://hdl.handle.net/2429/79660
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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