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Junior Topology
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Max Riestenberg, Zoom: The Morse Lemma in hyperbolic geometry and beyond
Wednesday, September 30, 2020, 02:00pm - 03:00pm
The classical Morse Lemma in hyperbolic geometry says that quasigeodesics are uniformly close to geodesics. One crucial corollary of this is that the boundary of a Gromov hyperbolic space is well-defined. It also yields a recipe for building neighborhoods of discrete subgroups of rank one Lie groups. Kapovich, Leeb and Porti recently proved a generalization of the Morse Lemma for higher rank symmetric spaces. After reviewing the classical Morse Lemma I'll talk about what goes wrong and what goes right in higher rank.
Location: Zoom

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