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UID:8269@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20141020T140000
DTEND;TZID=Europe/Paris:20141020T150000
DTSTAMP:20241120T210318Z
URL:https://www.i2m.univ-amu.fr/evenements/fixed-points-of-multimaps-on-su
 rfaces-with-application-to-the-torus-a-braid-approach/
SUMMARY:Daciberg Lima Gonçalves (...): Fixed points of multimaps on surfac
 es with application to the torus- a Braid approach
DESCRIPTION:Daciberg Lima Gonçalves: Let $\\phi: S \\to S$ be an $n-$value
 d continuous multimap on some closed surface $S$. First we define the set 
 of those maps called split. Then we describe the set of homotopy classes o
 f such multimaps where for most of the surfaces the classification is give
 n in terms of braids on $n-$strings and the pure $n-$braids. The case wher
 e $S$ is either $S^2$ or $RP^2$(projective plane) will be explained separa
 tely. For the case where the surface has genus &gt\; 0 then we give an alg
 ebraic criterion to decide which homotopy classes of maps contains a repre
 sentative which is fixed point free. Despite the fact that the algebraic c
 ondition is quite hard\, we perform some explicit calculation for the case
  where $S$ is the torus and explain the sate of art of the problem in this
  case.
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Daciberg_Lima_Goncalves.jpg
CATEGORIES:Séminaire,Dynamique et Topologie
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