Systems of isometries: dynamics and topology (Alexandra Skripchenko, HSE Moscow & Skoltech)

19.03.2019 10:30

Systems of partial isometries of the interval represent a simple combinatorial object which appears in topology in connection with measured foliations on a surface (orientable or non-orientable), in dynamics as a nice model to study billiards in rational polygons and in geometric group theory as a way to describe actions of free groups on R-trees.

We will discuss several classes of systems of isometries (interval exchange transformations, interval exchange transformations with flips,interval translation mappings, band complexes) and compare their basic dynamical properties: minimality, ergodicity, invariant measures etc.

The talk is mainly based on the joint works with Artur Avila and Pascal Hubert and with Serge Troubetzkoy.

Lieu

Room 623, Séminaire "Groupes et Géométrie"

entrée libre