Given a group, we are interested in understanding and classifying its
actions on one-dimensional manifolds, that its representations into
the groups of homeomorphisms or diffeomorphisms of an interval or the
circle. In this talk we will address this problem for a class of
groups arising via an action on intervals of a special type, called
locally moving. A well studied example in this class is the Thompson
group. We will see that if G is a locally moving group of
homeomorphisms of a real interval, then every action of G on an
interval by diffeomorphisms (of class C^1) is semiconjugate to the
natural defining action of G. In contrast such a group can admit a
much richer space of actions on intervals by homeomorphisms, and we
will investigate the structure of such actions. This is joint work
with Joaquín Brum, Cristóbal Rivas and Michele Triestino.
Nicolas Matte Bon
Locally moving groups acting on intervals
星期四, 25 三月, 2021 - 14:00
Résumé :
Institution de l'orateur :
Institut Camille Jordan
Thème de recherche :
Théorie spectrale et géométrie
Salle :
4