Department of Mathematics,
University of California San Diego
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Math 211B - Group Actions Seminar
Pieter Spaas
University of Copenhagen
Local Hilbert-Schmidt stability
Abstract:
We will introduce a local notion of Hilbert-Schmidt stability (HS-stability), partially motivated by the recent introduction of local permutation stability by Bradford. We will discuss some basic properties, and then establish a local character criterion for local HS-stability of amenable groups, by analogy with the character criterion for HS-stability of Hadwin and Shulman. We will then discuss further examples of (flexible versions of) local HS-stability. Finally, we show that infinite sofic (resp. hyperlinear) property (T) groups are never locally permutation (resp. HS-) stable, answering a question by Lubotzky. This is based on joint work with Francesco Fournier-Facio and Maria Gerasimova.
Host: Brandon Seward
January 11, 2024
10:00 AM
APM 7321
Research Areas
Ergodic Theory and Dynamical Systems****************************
