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Audiovisual Mathematics Library

Audiovisual Mathematics Library

Documents Militon, Emmanuel 6 results

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Dynamics of surface homeomorphisms and fine curve graph - Militon, Emmanuel (Author of the conference) | CIRM H

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The fine curve graph of a closed surface is a graph on which the group of homeomorphisms of the surface acts faithfully by isometries. This graph is Gromov-hyperbolic. In this talk, we will explore the links between the dynamics of a surface homeomorphism and the type of isometry of its action on the fine curve graph. Joint works with Jonathan Bowden, Sebastian Hensel, Kathryn Mann, and Richard Webb and with Pierre-Antoine Guihéneuf.

20F65 ; 37E30 ; 37E45 ; 57M60 ; 57S05

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Orderability and groups of homeomorphisms of the circle - Mann, Kathryn (Author of the conference) | CIRM H

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As a counterpart to Deroin's minicourse, we discuss actions of groups on the circle in the C0 setting. Here, many dynamical properties of an action can be encoded by the algebraic data of a left-invariant circular order on the group. I will highlight rigidity and flexibility phenomena among group actions, and discuss new work with C. Rivas relating these to the natural topology on the space of circular orders on a group.

58D05 ; 37E30 ; 57S05 ; 20F60

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Forcing theory for transverse trajectories of surface homeomorphisms - Part 2 - Le Calvez, Patrice (Author of the conference) | CIRM H

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Several recent papers on surface dynamics have used transverse foliations and maximal isotopies for homeomorphisms isotopic to the identity as a main tool in their work. In this mini-course we will introduce the basic concepts behind this tool and show a new way o deriving useful dynamical information by means of a forcing procedure. The applications involve ways of obtaining existence of non-contractible periodic points with consequences for rotation sets of toral homeomorphisms, exponential growth of periodic orbits and estimates on topological entropy of maps.[-]
Several recent papers on surface dynamics have used transverse foliations and maximal isotopies for homeomorphisms isotopic to the identity as a main tool in their work. In this mini-course we will introduce the basic concepts behind this tool and show a new way o deriving useful dynamical information by means of a forcing procedure. The applications involve ways of obtaining existence of non-contractible periodic points with consequences for ...[+]

37E30 ; 37E45

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Forcing theory for transverse trajectories of surface homeomorphisms - Part 3 - Tal, Fabio (Author of the conference) | CIRM H

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Several recent papers on surface dynamics have used transverse foliations and maximal isotopies for homeomorphisms isotopic to the identity as a main tool in their work. In this mini-course we will introduce the basic concepts behind this tool and show a new way o deriving useful dynamical information by means of a forcing procedure. The applications involve ways of obtaining existence of non-contractible periodic points with consequences for rotation sets of toral homeomorphisms, exponential growth of periodic orbits and estimates on topological entropy of maps.[-]
Several recent papers on surface dynamics have used transverse foliations and maximal isotopies for homeomorphisms isotopic to the identity as a main tool in their work. In this mini-course we will introduce the basic concepts behind this tool and show a new way o deriving useful dynamical information by means of a forcing procedure. The applications involve ways of obtaining existence of non-contractible periodic points with consequences for ...[+]

37E30 ; 37E45 ; 37B40

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Forcing theory for transverse trajectories of surface homeomorphisms - Part 4 - Tal, Fabio (Author of the conference) | CIRM H

Multi angle

Several recent papers on surface dynamics have used transverse foliations and maximal isotopies for homeomorphisms isotopic to the identity as a main tool in their work. In this mini-course we will introduce the basic concepts behind this tool and show a new way o deriving useful dynamical information by means of a forcing procedure. The applications involve ways of obtaining existence of non-contractible periodic points with consequences for rotation sets of toral homeomorphisms, exponential growth of periodic orbits and estimates on topological entropy of maps.[-]
Several recent papers on surface dynamics have used transverse foliations and maximal isotopies for homeomorphisms isotopic to the identity as a main tool in their work. In this mini-course we will introduce the basic concepts behind this tool and show a new way o deriving useful dynamical information by means of a forcing procedure. The applications involve ways of obtaining existence of non-contractible periodic points with consequences for ...[+]

37E30 ; 37E45

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Forcing theory for transverse trajectories of surface homeomorphisms - Part 1 - Le Calvez, Patrice (Author of the conference) | CIRM H

Multi angle

Several recent papers on surface dynamics have used transverse foliations and maximal isotopies for homeomorphisms isotopic to the identity as a main tool in their work. In this mini-course we will introduce the basic concepts behind this tool and show a new way o deriving useful dynamical information by means of a forcing procedure. The applications involve ways of obtaining existence of non-contractible periodic points with consequences for rotation sets of toral homeomorphisms, exponential growth of periodic orbits and estimates on topological entropy of maps.[-]
Several recent papers on surface dynamics have used transverse foliations and maximal isotopies for homeomorphisms isotopic to the identity as a main tool in their work. In this mini-course we will introduce the basic concepts behind this tool and show a new way o deriving useful dynamical information by means of a forcing procedure. The applications involve ways of obtaining existence of non-contractible periodic points with consequences for ...[+]

37E30 ; 37E45

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