# Lipschitz normal embedded surfaces & polar exploration

Lorenzo Fantini
Goethe-Universität Frankfurt, Germany
https://lorenzofantini.eu/index-fr.html

Date(s) : 25/03/2021   iCal
14 h 00 min - 15 h 00 min

Lipschitz geometry 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 outer 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 those two metrics are equivalent up to a bi-Lipschitz homeomorphism, the germ is said to be Lipschitz normally embedded (LNE).

I will discuss several geometric properties of LNE surface germs as well as criterions to prove that a surface germ is LNE.

This is part of papers and works in progress joint with André Belotto da Silva, Helge Pedersen, Anne Pichon, and Bernd Schober.

https://arxiv.org/abs/2006.01773

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