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UID:1234@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160519T140000
DTEND;TZID=Europe/Paris:20160519T150000
DTSTAMP:20160504T120000Z
URL:https://www.i2m.univ-amu.fr/evenements/lipschitz-normal-embeddings-and
 -determinantal-singularities/
SUMMARY: (...): Lipschitz normal embeddings and determinantal singularities
DESCRIPTION:: An algebraic singularity {X} has two natural metrics. Both ar
 e defined using an embedding to Euclidian space\, but are independent of t
 he embedding up to bilipschitz equivalence. The first is the outer metric 
 given by restricting the Euclidian metric to {X}. The other is the inner m
 etric\, where the distance between two points is defined as the infimum of
  the lengths of curves in {X} between the points. It is clear that the inn
 er distance between two points is equal or larger than their outer distanc
 e. The other way is in general not true\, and one says that {X} is Lipschi
 tz normally embedded if there exist a constant {K}\, such that the inner d
 istance is less than or equal to {K} times the outer distance. This talk w
 ill discuss the case of determinantal singularities. We will show that the
  model (or generic) determinantal singularity\, that is the set of matrice
 s of rank less than a given number\, is Lipschitz normally embedded. We wi
 ll also discuss the case of when a general determinantal singularity is Li
 pschitz normally embedded.https://www.mathi.uni-heidelberg.de/~pedersen/-h
 ttp://icmc.usp.br/Portal/conteudo/1125/333.
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DTSTART:20160327T030000
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