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UID:5331@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180216T110000
DTEND;TZID=Europe/Paris:20180216T123000
DTSTAMP:20241209T220314Z
URL:https://www.i2m.univ-amu.fr/evenements/applications-de-modeles-combina
 toires-issus-de-la-topologie-hdr-benjamin-audoux/
SUMMARY:Benjamin Audoux (I2M\, Aix-Marseille Université): Applications de 
 modèles combinatoires issus de la topologie
DESCRIPTION:Benjamin Audoux: http://test.i2m.univ-amu.fr/perso/benjamin.aud
 oux/articles/hdr_en.htm\n\nClassification d'anneaux plongés dans B^4 à h
 omotopie d'enlacement près\, notion de produit pour les codes correcteurs
  quantiques CSS\,...\n\nMembres du jury :-\n- Michel BOILEAU\n- Seiichi KA
 MADA\n- David KOHEL\n- Christine LESCOP\n- Peter TEICHNER\n- Jean-Pierre T
 ILLICH\n\nApplications of combinatorial models from topology\nAlong its de
 velopment\, topology set up several combinatorial models\, and unexpected 
 applications can emerge from them. They can indeed be developped by their 
 own\, and then reused in other context\, related to topology or not. In a 
 first part we develop a\, so-called welded\, combinatorial theory which ex
 tend the combinatorics of link diagrams and then use it to classify proper
 ly embedded annuli in B4 up to link-homotopy. In a second part\, we take a
 dvantage of a reformulation of CSS error-correcting quantum codes in terms
  of chain complexes to define a product notion for these codes and give a 
 criterion which provides a control on the minimum distance of the product 
 of two codes. Then we study several families of codes for which the criter
 ion can be efficiently applied.
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Benjamin_Audoux.jpg
CATEGORIES:Soutenance d'HdR,GDAC
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