April 29, 2024 to May 4, 2024
Institut Henri Poincaré
Europe/Paris timezone
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Deformations of Z^2-actions in dimension 1 (joint with Andrés Navas)

Apr 30, 2024, 3:00 PM
1h
Amphithéâtre Hermite / Darboux (Institut Henri Poincaré)

Amphithéâtre Hermite / Darboux

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Speaker

Hélène Eynard-Bontemps

Description

Can any pair of commuting diffeomorphisms of a compact 1D manifold be connected to the trivial pair (id,id) via a path of such pairs ? This question plays an important role in the classification of foliations of 3-manifolds by surfaces. It can be asked in any differentiability class, and we will see that the phenomena at play and the techniques involved to answer it highly depend on the regularity, focussing on a new result in the intermediate regularity C^{1+ac} (where « ac » stands for « absolutely continuous).

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