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Approximations of infinite groups

Presented by: 
Goulnara Arzhantseva
Monday 8th May 2017 - 10:00 to 11:00
INI Seminar Room 1
We discuss various (still open) questions on approximations of finitely generated groups, focusing on finite-dimensional approximations such as residual finiteness and soficity. We begin with a survey of our prior results and then introduce a new type of approximations: constraint metric approximations. We study their existence and stability. In particular, we investigate the constraint soficity. We characterize the stability of the commutator in permutations, with constraints. This answers a question of Gorenstein-Sandler-Mills (1962).

Based on joint works with Liviu Paunescu (Bucharest).
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons