Subgroups of interval exchange transformations
Dia | 2019-05-24 14:30:00-03:00 |
Hora | 2019-05-24 14:30:00-03:00 |
Lugar | Salón de seminarios del IMERL, Facultad de Ingeniería |
Subgroups of interval exchange transformations
Isabelle Liousse (Université de Lille)
An interval exchange transformation (IET) is a bijective map f :I = [0, 1) → [0, 1) defined by a finite partition of I into half-open subintervals and a reordering of these intervals by translations. We denote by IET the group consisting in all IETs.
The IETs have been a very popular subject of study in ergodic theory: most papers on IETs concern specific dynamical and spectral properties (minimality, ergodicity, mixing properties ...) of a single map.
In this talk, I will address certain questions on the group-theoretical structure of IET and the question I will focus on is what abstract groups can be represented as subgroups of IET.
I will discuss examples and properties of certain subgroups in IET. This is a joint work with Nancy Guelman.