Geometry of sofic approximations

Vadim Alekseev

Thursday 9th March, 2023 16:00-17:00 Maths 311B


In the recent years, there has been substantial activity
connecting graph theory and group theory via the concept of a metric
approximation of an infinite group by finite objects (groups or
graphs), particularly around sofic groups. This lead to numerous
results which describe approximation properties of the group (for
instance, amenability, Haagerup property and property (T)) in terms of
geometric properties of its approximations (e.g. hyperfiniteness,
coarse embeddability in a Hilbert space or geometric property (T) of a
graph sequence). In this talk, I will describe these connections and
some recent results around them.

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