Geometry and Topology Seminar: Cascades in the dynamics of affine interval exchange transformations
16 November 2017 13:00 in CM221
I will present a 1-parameter family of affine interval exchange transformations (AIETs) that display various dynamical behaviours. We will see that a fruitful viewpoint from which 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 for several conjectures on the dynamics of AIETs that we will try to explain.