Sofic groups are surjunctive

Speaker: Keivan Mallahi-Karai, Constructor University

Date: Mon, Nov 27, 2023

Location: Online, University of Utah

Conference: University of Utah Seminar in Ergodic Theory

Subject: Mathematics

Class: Scientific

Abstract:

In this talk, which is based on Benjamin Weiss' Sofic groups and dynamical systems, I will give the definition of sofic groups which can be considered as common generalizations of amenable and residually finite groups, and discuss examples and some of their basic properties. Finally, we will give Weiss' alternative proof Gromov's theorem stating that sofic groups are surjunctive. This theorem settles Gottschalk's conjecture for sofic groups.

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