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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Geometry and Topology Seminar: Cascades in the dynamics of affine interval exchange transformations

Presented by Selim Ghazouani, Warwick University

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.

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