Cours/Séminaire

# A. Song - What is the (essential) minimal volume? 3

Durée : 01:26:57 -Réalisation : 23 juin 2021 -Mise en ligne : 23 juin 2021
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Descriptif

I will discuss the notion of minimal volume and some of its variants. The minimal volume of a manifold is defined as the infimum of the volume over all metrics with sectional curvature between -1 and 1. Such an invariant is closely related to "collapsing theory", a far reaching set of results developed by Cheeger, Gromov, Fukaya and others to describe bounded sectional curvature metrics. Most of my talks will be focused on presenting the main aspects of this theory: thick-thin decomposition, F-structures and N-structures, collapsing constructions... Relations of the minimal volume to topological invariants will be explained, and some open questions will be mentioned.

Intervenant
Thème
Notice
Langue :
Anglais
Crédits
Fanny Bastien (Réalisation), Hugo BÉCHET (Réalisation), Antoine Song (Intervenant)
Conditions d'utilisation
CC BY-NC-ND 4.0
Citer cette ressource :
Antoine Song. I_Fourier. (2021, 23 juin). A. Song - What is the (essential) minimal volume? 3. [Vidéo]. Canal-U. https://www.canal-u.tv/107545. (Consultée le 29 septembre 2023)
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A. Song - What is the (essential) minimal volume? 1
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