Séminaires : Séminaire Théorie des Nombres

Equipe(s) : fa, tn, tga,
Responsables :Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel
Email des responsables : cathy.swaenepoel@imj-prg.fr
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Orateur(s) Jon Pridham - ,
Titre Pro-algebraic l-adic fundamental groups
Date17/05/2010
Horaire14:00 à 16:00
Diffusion
RésumeThe l-adic pro-algebraic fundamental group is the universal objectclassifying smooth l-adic sheaves. For smooth varieties in finite and mixedcharacteristics, the it is largely determined as a Galois representation bycohomology of semisimple local systems, and the same holds for big Malcevcompletions. There are also a pro-algebraic crystalline fundamental groupand a non-abelian \'etale-crystalline comparison theorem.
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