Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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http://www.imj-prg.fr/tn/STN/stnj.html

 


Orateur(s) Jakob Stix - ,
Titre More pro-p counterexamples for the section conjecture of anabelian geometry
Date14/03/2011
Horaire14:00 à 16:00
Diffusion
Résume Grothendieck's section conjecture in anabelian geometry suggests to usesplittings of thefundamental group exact sequence to study rational points. Over number fields,splittings which locallycome from rational points are related to adelic points which survive all finitetorsor obstructions.We will discuss in the talk a refinement of Hoshi's counterexamples to a pro-$p$version of the section conjecture.In particular, we need to understand how badly the analogue of the sectionconjecture fails over finite fields.
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