**abstract:**
The periodic Lorentz gas describes a particle moving in a periodic array of spherical scatterers, and is one of the fundamental mathematical models for chaotic diffusion in a periodic set-up. In this lecture I describe the recent solution of a problem posed by Y. Sinai in the early 1980s, on the nature of the diffusion when the scatterers are very small. The problem is closely related to some basic questions in number theory, in particular the distribution of lattice points visible from a given position. This is joint work with Andreas Strombergsson (Uppsala).

Mon 23 Apr, 10:00 - 11:00, Sala Conferenze Centro De Giorgi

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