Uniformities for commuting maps

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• Thomas Ward (UEA Norwich)
• Tuesday 26 October 2010, 17:30-18:30
• MR4, CMS.

If you have a question about this talk, please contact Boris Bukh.

A large number of dynamical properties are known to hold in each direction in the Z^d action generated by d commuting maps. I will report on joint work with Richard Miles concerned with understanding whether there are uniformities in these phenomena as the direction changes. A general picture emerges showing that even in the simplest (or most hyperbolic) situations one is almost inevitably forced to deal with subtle Diophantine questions to establish this uniformity.

This talk is part of the Discrete Analysis Seminar series.

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