Sieve methods in group theory

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• Alex Lubotzky (Hebrew University)
• Wednesday 27 April 2011, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Jan Saxl.

The sieve methods are classical methods in number theory. Inspired by the ‘affine sieve method’ developed by Sarnak, Bourgain, Gamburd and others, as well as by works of Rivin and Kowalsky, we develop in a systemtic way a ‘sieve method’ for group theory. This method is especially useful for groups with ‘property tau’. Hence the recent results of Breuillard-Green-Tao, Pyber-Szabo, Varju and Salehi-Golsefidy are very useful and enable one to apply them for linear groups. We will present the method and some of its applications to linear groups and to the mapping class groups. (Joint work with Chen Meiri).

This talk is part of the Algebra and Representation Theory Seminar series.

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