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) Alexander Schmidt - Ruprecht-Karls-Universität Heidelberg,
Titre Anabelian geometry with étale homotopy types
Date03/12/2018
Horaire14:00 à 15:00
Diffusion
RésumeAnabelian geometry with étale homotopy types generalizes in a natural way classical anabelian geometry with étale fundamental groups. We show that, both in the classical and the generalized sense, any point of a smooth variety over a field k which is finitely generated over Q has a fundamental system of (affine) anabelian Zariski-neighbourhoods. This was predicted by Grothendieck in his letter to Faltings. (Joint work with J. Stix)
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