Andrés Navas, « On (path-)connectedness of the space of commuting pairs of diffeomorphisms of 1-manifolds. »

jeudi 7 septembre 2023, 10:30 - 12:00

Résumé

A problem coming independently arising from 1-dimensional dynamics

and codimension-1 foliations asks whether the space of commuting circle or interval

diffeomorphisms is path connected. This is a very difficult question, with only

partial results in very specific regularities. In this talk I will develop on recent work with

Hélène Eynard.Bontemps (Inst. Fourier, Grenoble), where we prove path-connectedness

in class C^{1+ac} and connectedness in class C^2 (C^{1+ac} stands for diffeomorphisms

with absolutely continuous derivative).