10–14 juin 2024
Institut Henri Poincaré
Fuseau horaire Europe/Paris
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Lichnerowicz conjecture(s)

13 juin 2024, 16:40
1h
Amphithéâtre Hermite / Darboux (Institut Henri Poincaré)

Amphithéâtre Hermite / Darboux

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Orateur

Abdelghani Zeghib (ENS Lyon)

Description

A priori, the conformal group of a compact Riemannian manifold has no reason to be compact, since it only preserves angles and not distances. A posteriori, however, it turns out that this group is compact, with a single exception: the round sphere! The Lichnerowicz conjecture refers to similar rigidity statements in the cases of pseudo-Riemannian conformal and projective structures.

Documents de présentation

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