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PRODID:-//Memento EPFL//
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SUMMARY:Lipschitz geometry of complex surfaces
DTSTART:20220412T131500
DTEND:20220412T150000
DTSTAMP:20260406T194741Z
UID:efb61863119c57f84c10146163ae1fa56b27ab289beb1e82d0b06373
CATEGORIES:Conferences - Seminars
DESCRIPTION:Lorenzo Fantini (Ecole Polytechnique Paris)\nLipschitz geometr
 y is a branch of singularity theory that studies a complex analytic germ (
 X\,0) in (C^n\,0) by equipping it with either one of two metrics: its oute
 r metric\, induced by the euclidean metric of the ambient space\, and its 
 inner metric\, given by measuring the length of arcs on (X\,0). Whenever t
 hose two metrics are equivalent up to a bi-Lipschitz homeomorphism\, the g
 erm is said to be Lipschitz normally embedded (LNE). \nI will give an ove
 rview of several results obtained together with  André Belotto\, András
  Némethi\, Walter Neumann\, Helge Pedersen\, Anne Pichon\, and Bernd Scho
 ber on the Lipschitz geometry of surfaces\, and more precisely on their in
 ner metric structure\, properties of LNE surfaces\, criteria to prove that
  a germ is LNE\, and the so-called problem of polar exploration\, which is
  the quest of determining the generic polar curves of a complex surface fr
 om its topology.
LOCATION:GC A1 416 https://plan.epfl.ch/?room==GC%20A1%20416
STATUS:CANCELLED
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