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

jeudi 7 sept. 2023, 10:30 → 12:00 Europe/Paris

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).