Approximate groups: basic definitions, structure theorem and geometric consequences
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NPC - Non-positive curvature group actions and cohomology
I will define approximate groups and discuss the definition and its variants. I will them state the general structure theorem for approximate groups and derive consequences such as improvements on Gromov's polynomial growth theorem and almost flat manifolds theorem and a generalized Margulis lemma.
This talk is part of the Isaac Newton Institute Seminar Series series.
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