Geometry of sofic approximations

Vadim Alekseev (Technische Universität Dresden)

10-Nov-2021, 20:00-21:00 (2 years ago)

Abstract: 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 or Haagerup property) in terms of geometric properties of its approximations (e.g. hyperfiniteness or coarse embeddability in a Hilbert space of a graph sequence). In this talk, I will describe these connections between the two worlds (groups and graphs) and some recent results around them.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( paper | video )


Noncommutative Geometry in NYC

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