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PRODID:-//Memento EPFL//
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SUMMARY:Lipschitz geometry of complex surfaces
DTSTART:20220503T141500
DTEND:20220503T160000
DTSTAMP:20260407T064104Z
UID:ec68bbe91b1fc2a53bf001b701d7174a0637981c1e0f07d4edf1ed10
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).  I will give an over
 view of several results obtained together with  André Belotto\, András 
 Némethi\, Walter Neumann\, Helge Pedersen\, Anne Pichon\, and Bernd Schob
 er on the Lipschitz geometry of surfaces\, and more precisely on their inn
 er 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 fro
 m its topology.  
LOCATION:GC A1 416 https://plan.epfl.ch/?room==GC%20A1%20416
STATUS:CONFIRMED
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