Monday 14 June 2021 at 14:00

Organised in collaboration with the School of Mathematics, University of Bristol, UK

Approximate Groups

Emmanuel Breuillard, University of Cambridge, UK

Symmetry is one of the most fundamental concepts of science and mathematics. Group theory is the field of mathematics devoted to its study. In this lecture we will discuss various situations where symmetry is present only partially and where a notion approximate symmetry arises naturally. In group theory this leads to the notion of approximate group, which has been much studied in the last twenty years in connection with various fields including additive combinatorics, harmonic and fractal analysis, asymptotic finite group theory, geometric group theory, ergodic theory and even logic and model theory. The lecture will introduce this concept and present some recent developments. (download slides in pdf)

An additional online talk entitled ‘Approximate lattices and quasi-crystals‘ will be given by Emmanuel Breuillard on 17 June 2021 at 14:00, as part of the School of Mathematics ‘Ergodic Theory and Dynamical Systems Seminars’

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