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Definably amenable NIP groups

Model Theory in Geometry and Arithmetic May 12, 2014 - May 16, 2014

May 16, 2014 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Pierre Simon (Centre National de la Recherche Scientifique (CNRS))
Location: MSRI: Simons Auditorium
Video

Abstract

I will talk about definably amenable groups in NIP theories, that is NIP groups admitting a translation-invariant measure on the class of definable sets. Examples include stable groups, compact Lie groups and solvable NIP groups. In a joint work with Artem Chernikov, we characterize "generic types" in this context, describe the space of invariant measures and prove "generic compact domination". I will present this work and mention some more recent developments.

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