Selim Ghazouani (Université d’Orsay, France)

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 - TBA

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NOTE: The seminar will be streamed live on our YouTube channel then saved there. If you ask questions, with your video feed on or off, you agree to the use of your image/spoken words for said purpose.