[Settfa] Tuesday 17/09, Jakub Gismatullin

[kubis at math.cas.cz]

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 Tuesday 17th September, 10:00am 
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 Speaker:Jakub Gismatullin, University of Wroclaw
 Title: On metric ultraproduct of groups

 Abstract  

 
During my talk I will explain metric ultraproduct construction of 
groups, equipped with invariant metric. Its importance to group theory became apparent recently and they are 
intensively studied. I will concentrate, in this context, on simplicity and amenability. I will explain uniform
metric simplicity and (non)uniform metric amenability. Examples are: some classes of linear groups over infinite fields
which are uniformly metrically simple and Higman-Thompson groups, which are not-uniformly metric amenable and IET group. 
These generalize, respectively, the previously studied notions of uniform amenability and uniform simplicity.


 For more information see the seminar web page at 
 https://calendar.math.cas.cz/set-theory-and-analysis-actual .