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比利时vs摩洛哥足彩 ,
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

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