Title (deu)
Plans, derivations, and currents in metric measure spaces
Speaker / Lecturer
Danka Lučić
JYU, Jyväskylä
Description (deu)
In the first part of the talk, I will present a novel proof of the equivalence of definitions of metric p-Sobolev space, based on a smooth analysis (involving cylindrical functions on Banach spaces) coupled with some classical duality techniques in Convex Analysis. In the second part of the talk, I will show that the strategy employed in the proof is a particular instance of a more general principle: the identification of plans with barycenter, Lipschitz derivations, and a suitable family of normal 1-currents. Time permitting, I will discuss the use of the above techniques also in the setting of extended metric measure spaces.
The talk is based on recent joint works with Luigi Ambrosio, Toni Ikonen, and Enrico Pasqualetto.
Keywords (deu)
Synthetic Curvature BoundsNon-Smooth SpacesBeyond Finite Dimension
Subject (eng)
ÖFOS 2012 -- 101 -- Mathematics
Type (eng)
Language
English [eng]
Persistent identifier
Project
Title (deu)
Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension
Project description (eng)
Workshop
Start date
2024-05-21
End date
2024-05-24
Project homepage
Date created
2024-05-24
Place of creation (eng)
ESI
Duration
42 minutes 07 seconds
License
- Citable links
Persistent identifier
https://phaidra.univie.ac.at/o:2068116 - Content
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Media Package Identifier
id=d5ca23fa-af50-4de4-8a91-3c749012085d