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UID:928@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20151113T110000
DTEND;TZID=Europe/Paris:20151113T120000
DTSTAMP:20151029T100000Z
URL:https://www.i2m.univ-amu.fr/evenements/combinatorial-rigidity-of-the-c
 urve-complex/
SUMMARY: (...): Combinatorial rigidity of the curve complex
DESCRIPTION:: Given a closed surface S we define the curve complex\, C(S)\,
  as the simplicial complex whose vertices are the (isotopy classes of esse
 ntial simple closed) curves in S\, and a simplex is a set of pairwise disj
 oint curves. This complex was introduced by Harvey in 1977 and since then 
 it has been studied due to its relation to several areas of study in geome
 try and topology.In this talk we will see different different results conc
 erning the combinatorial rigidity of C(S)\, that is\, finding enough condi
 tions for a simplicial self-map of C(S) to be an automorphism. We will be 
 particularly interested in the concept of finite rigid sets of C(S) and we
  will give a method to find a sequence of (increasing) finite rigid sets w
 hose union is C(S). Finally\, we will give several consequence of this met
 hod concerning self-maps of C(S)\, self-maps of other simplicial graphs of
  multicurves of S\, and homomorphisms of certain subgroups of the mapping 
 class group of S.Webpage
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DTSTART:20151025T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
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