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Audiovisual Mathematics Library

Audiovisual Mathematics Library

Documents 37E10 4 results

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Space of actions of groups on the real line - Deroin, Bertrand (Author of the conference) | CIRM H

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In these lectures, we will report on some properties of the space of actions of a left-orderable group on the real line. We will notably describe the almost-periodic actions, the harmonic actions and their spaces.

20F60 ; 22F50 ; 37B05 ; 37E10 ; 57R30

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Hyperbolicity of renormalization for bi-cubic circle maps with bounded combinatorics - Estevez Jacinto, Gabriela Alexandra (Author of the conference) | CIRM H

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In this talk we study real analytic bi-cubic circle maps with bounded type rotation number. We define a suitable functional space where the renormalization operator is analytic, and we construct a hyperbolic attractor of renormalization with codimension-two stable foliation. This is joint work with Michael Yampolsky.

37E10 ; 37F25

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Connectedness and deformation by conjugation of actions on [0,1] (or $^1) - Eynard-Bontemps, Hélène (Author of the conference) | CIRM H

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The study of the path-connectedness of the space of $C^{r}$ actions of $\mathbb{Z}^{2}$ on the interval [0,1] plays an important role in the classification of codimension 1 foliations on 3 manifolds. One way to deform actions is by conjugation. If an action can be brought arbitrarily close to the trivial one by conjugation, it is said to be quasi-reducible. In this talk, we will present and compare obstructions to quasi-reducibility in different regularity classes, and draw conclusions concerning the initial connectedness problem.[-]
The study of the path-connectedness of the space of $C^{r}$ actions of $\mathbb{Z}^{2}$ on the interval [0,1] plays an important role in the classification of codimension 1 foliations on 3 manifolds. One way to deform actions is by conjugation. If an action can be brought arbitrarily close to the trivial one by conjugation, it is said to be quasi-reducible. In this talk, we will present and compare obstructions to quasi-reducibility in different ...[+]

37C05 ; 37C10 ; 37C15 ; 37E05 ; 37E10 ; 57S25

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Irreducible lattices in semi-simple Lie groups of higher rank are not left-orderable - Hurtado Salazar, Sebastian (Author of the conference) | CIRM H

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Irreducible lattices in semi-simple Lie groups of higher rank are not left-orderable I'll report on the problem of the left orderability of lattices in semi-simple Lie groups, and give some insight of our joint proof with Bertrand Deroin that in rank at least two, an irreducible lattice is not left-orderable. The proof will make use of the tools developed in the minicourse of Bertrand.

20F60 ; 37B05 ; 22F50 ; 37E10 ; 57R30

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