School of Mathematical Sciences

Cascades in the dynamics of affine interval exchange transformations menu

Cascades in the dynamics of affine interval exchange transformations

Speaker: 
Selim Ghazouani (Warwick)
Date/Time: 
Tue, 31/10/2017 - 16:00
Room: 
W316
Seminar series: 

We will present in this talk a 1-parameter family of affine interval exchange transformations (AIET) which displays various dynamical behaviours. We will see that a fruitful viewpoint to study such a family is to associate to it what we call a dilation surface, which should be thought of as the analogue of a translation surface in this setting.

The study of this example is a good motivation to several conjectures on the dynamics of AIETs that we will try to expose.