2021

collection
Mise en ligne : 02 juillet 2021
DOI : 10.60527/w95j-0n14
URL pérenne : https://doi.org/10.60527/w95j-0n14
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J. Fine - Knots, minimal surfaces and J-holomorphic curves

Vidéos

P. Burkhardt - Pointwise lower scalar curvature bounds for C0 metrics via regularizing Ricci flow
Conférence
01:00:08

P. Burkhardt - Pointwise lower scalar curvature bounds for C0 metrics via regularizing Ricci flow

  • BURKHARDT-GUIM Paula

We propose a class of local definitions of weak lower scalar curvature bounds that is well defined for C0 metrics. We show the following: that our definitions are stable under greater-than-second

D. Semola - Boundary regularity and stability under lower Ricci bounds
Conférence
01:02:13

D. Semola - Boundary regularity and stability under lower Ricci bounds

  • SEMOLA Daniele

The theory of non smooth spaces with lower Ricci Curvature bounds has undergone huge developments in the last thirty years. On the one hand the impetus came from Gromov’s precompactness theorem

A. Mondino - Time-like Ricci curvature bounds via optimal transport
Conférence
01:14:44

A. Mondino - Time-like Ricci curvature bounds via optimal transport

  • MONDINO Andrea

The goal of the talk is to present a recent work in collaboration with Cavalletti (SISSA) on optimal transport in Lorentzian synthetic spaces. The aim is to set up a “Lorentzian analog” of the

R. Bamler - Compactness and partial regularity theory of Ricci flows in higher dimensions
Conférence
01:13:18

R. Bamler - Compactness and partial regularity theory of Ricci flows in higher dimensions

  • BAMLER Richard H.

We present a new compactness theory of Ricci flows. This theory states that any sequence of Ricci flows that is pointed in an appropriate sense, subsequentially converges to a synthetic flow.

T. Ozuch - Noncollapsed degeneration and desingularization of Einstein 4-manifolds
Conférence
01:03:54

T. Ozuch - Noncollapsed degeneration and desingularization of Einstein 4-manifolds

  • OZUCH Tristan

We study the noncollapsed singularity formation of Einstein 4-manifolds. We prove that any smooth Einstein 4-manifold close to a singular one in a mere Gromov-Hausdorff (GH) sense is the result

A. Mondino - Metric measure spaces satisfying Ricci curvature lower bounds 4
Cours/Séminaire
01:44:26

A. Mondino - Metric measure spaces satisfying Ricci curvature lower bounds 4

  • MONDINO Andrea

The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds goes back to Gromov in the '80ies and was pushed by Cheeger-Colding in the ‘90ies, who

A. Mondino - Metric measure spaces satisfying Ricci curvature lower bounds 3
Cours/Séminaire
01:41:38

A. Mondino - Metric measure spaces satisfying Ricci curvature lower bounds 3

  • MONDINO Andrea

The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds goes back to Gromov in the '80ies and was pushed by Cheeger-Colding in the ‘90ies, who

A. Mondino - Metric measure spaces satisfying Ricci curvature lower bounds 2
Cours/Séminaire
01:44:16

A. Mondino - Metric measure spaces satisfying Ricci curvature lower bounds 2

  • MONDINO Andrea

The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds goes back to Gromov in the '80ies and was pushed by Cheeger-Colding in the ‘90ies, who

A. Mondino - Metric measure spaces satisfying Ricci curvature lower bounds 1
Cours/Séminaire
01:46:04

A. Mondino - Metric measure spaces satisfying Ricci curvature lower bounds 1

  • MONDINO Andrea

The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds goes back to Gromov in the '80ies and was pushed by Cheeger-Colding in the ‘90ies, who

G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 4
Cours/Séminaire
01:28:17

G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 4

  • COURTOIS Gilles

  • BESSON Gérard

This is a series of lectures on Bishop--Gromov's type inequalities adapted to metric spaces. We consider the case of Gromov-hyperbolic spaces and draw consequences of these inequalities such as

G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 3
Cours/Séminaire
01:25:55

G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 3

  • COURTOIS Gilles

  • BESSON Gérard

This is a series of lectures on Bishop--Gromov's type inequalities adapted to metric spaces. We consider the case of Gromov-hyperbolic spaces and draw consequences of these inequalities such as

G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 2
Cours/Séminaire
01:28:23

G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 2

  • COURTOIS Gilles

  • BESSON Gérard

This is a series of lectures on Bishop--Gromov's type inequalities adapted to metric spaces. We consider the case of Gromov-hyperbolic spaces and draw consequences of these inequalities such as

G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 1
Cours/Séminaire
01:37:09

G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 1

  • COURTOIS Gilles

  • BESSON Gérard

This is a series of lectures on Bishop--Gromov's type inequalities adapted to metric spaces. We consider the case of Gromov-hyperbolic spaces and draw consequences of these inequalities such as

R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 4
Cours/Séminaire
00:57:39

R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 4

  • BAMLER Richard H.

I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This

R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 3
Cours/Séminaire
01:32:41

R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 3

  • BAMLER Richard H.

I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This

R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 2
Cours/Séminaire
01:31:24

R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 2

  • BAMLER Richard H.

I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This

R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 1
Cours/Séminaire
01:31:42

R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 1

  • BAMLER Richard H.

I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This

Intervenants et intervenantes

France

Mathématicien. Directeur de recherche CNRS, membre de l'équipe de recherche Analyse complexe et géométrie, Institut de mathématiques de Jussieu - Paris Rive gauche (IMJ-PRG, UMR 7586), Sorbonne université et Université de Paris (en 2021)

Docteur en mathématiques (Grenoble 1, 1987)

Membre du jury d'une thèse en Mathématiques à Université Côte d'Azur en 2025

Thèmes