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Dynamical Systems Seminar - Dynamics of Piecewise Isometries

Dates
Wednesday, April 6, 2022 - 14:00 to 15:00

Speaker: Ana Rodrigues (University of Exeter)

Abstract: In this talk, I will discuss some features of the dynamics of Piecewise isometries (PWIs) which are higher dimensional generalizations of one dimensional IETs, defined on higher dimensional spaces and Riemannian manifolds. In particular, I will introduce the concept of embedding of an IET into a PWI, some particular renormalization scheme and if time allows, the proof of existence of invariant curves for PWIs.