Nilpotent approximate groups

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• Matthew Tointon, University of Cambridge
• Friday 08 March 2013, 14:00-15:00
• MR4.

If you have a question about this talk, please contact Joanna Fawcett.

In various situations in mathematics, considering approximate analogues of precise algebraic properties can lead to the objects they define becoming far more widely applicable. An area that has received considerable attention in that regard in recent years is the study of ‘approximate groups’. Originating in additive combinatorics, these objects have increasingly been applied to obtain results in a diverse array of other fields, such as number theory, differential geometry, geometric group theory and theoretical computer science.

A number of authors have made attempts at understanding approximate subgroups of nilpotent groups, with partial results due to Green-Ruzsa, Tao and Breuillard-Green, amongst others, appearing in recent years. In this talk I will outline a result classifying the approximate subgroups of an arbitrary nilpotent group, generalising all of these earlier works.

This talk is part of the Junior Algebra and Number Theory seminar series.

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