Speaker: Selim Ghazouani (Université d’Orsay, France)
Title: Piecewise affine homeomorphisms of the circle and dilation surfaces
Abstract: In this talk I will consider the following question: if one picks a piecewise affine map of the circle “at random”, what dynamical behaviour are we likely to observe? The case of standard circle diffeomorphisms has been studied by Herman in the 80s; in this emblematic case the problem can be reduced to theorems close to KAM theory. For the piecewise affine case, we put forward a geometric approach, inspired by methods from both Teichmüller theory and hyperbolic geometry.
Time and location:
Thu, 06 May 2021 16:00:00 UTC -
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