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University of Cambridge > Talks.cam > Special DPMMS Colloquium > Non-abelian arithmetic combinatorics and diophantine approximation
Non-abelian arithmetic combinatorics and diophantine approximationAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact HoD Secretary, DPMMS. This talk has been canceled/deleted In the last ten years additive combinatorics has spread to group theory yielding a series of structure theorems for approximate subgroups, i.e. subsets that do not grow much under multiplication. Metric versions of these results, where one looks at the size of a set at various small scales, have also been developed shedding new light on the structure of dense subgroups of Lie groups. In parallel a theory of diophantine approximation on Lie groups is taking shape, and when combined with the former yields applications to spectral gap bounds, fast mixing of random walks, uniform exponential growth, Bernoulli convolutions and more. I will survey some these developments. This talk is part of the Special DPMMS Colloquium series. This talk is included in these lists:This talk is not included in any other list Note that ex-directory lists are not shown. |
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