Modul:   MAT760  Ergodic Theory and Dynamical Systems Seminar

Interval exchange transformations with discrete spectrum

Talk by Prof. Dr. Pascal Hubert

Speaker invited by: Prof. Dr. Corinna Ulcigrai

Date: 07.11.22  Time: 13.30 - 14.30  Room: Y27H28

We know from a result by Avila and Forni that almost every interval exchange transformation is weakly-mixing. Until very recently, no (non trivial) example with discrete spectrum was known. In this talk, I will describe two families of interval exchange transformations which are conjugate to rotations of the two dimensional torus.