Ana Khukhro - Geometric rigidity of finite quotients of groups

The set of finite quotients of a group can provide a lot of information about
the group if this set is sufficiently rich. This is the case for a residually finite group, and
studying its finite quotients geometrically has many implications for algebraic and analytic
aspects of the group. One can also use this framework to create interesting examples of
metric spaces. Rigidity results for finite quotients allow us to better understand the variety of examples obtained in this way. This talk will be based on joint work with Alain Valette, and with Thiebout Delabie.