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Groups And Dynamics
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Kate Juschenko, RLM 10.176: Analytic properties of interval exchange transformation group and wobbling groups
Thursday, November 08, 2018, 10:00am - 11:00am
I will discuss interval exchange transformation group (consideredas a discrete group) and an attempt to disprove Katok's conjectureon presence of free subgroups. The main tool that will be presentedis random inverted orbits of actions. In case, when the randomwalk of the action is recurrent we can deduce several propertiesof the group including amenability. In a non-recurrent case Iwill be pointing out the connection with the recent work of ChristopherGarban on random inverted orbits for topological groups.
Location: RLM 10.176

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