Department of

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Friday, November 1, 2013

**Abstract:** We will describe a geometric point of view on renormalization for two examples of parabolic dynamical systems, linear skew shifts over rotations on the two-dimensional torus and billiards in rational polygons. We will discuss an extension of the renormalization approach to the case of higher dimensional skew-shifts and to billiards in arbitrary polygons.

This plenary lecture is the the start of the Midwest Dynamical Systems Conference, being held on Nov 2 and 3 in 314 Altgeld Hall and 239 Altgeld Hall.