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Journées non-archimédiennes 15, 16 et 17 Juin 2011 Institut de Math. de Bordeaux Projet ANR: Berko |
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Organisateurs: P. Autissier, A. Ducros, C. Favre et F. Pazuki.
Programme:
Nous prévoyons trois mini-cours de 3h30 chacun. Les personnes suivantes nous feront des mini-cours.
Résumé du cours d'Amaury Thuillier:
recently, Ehud Hrushovski and François Loeser have developped some model-theoretic tools to study the topology of an algebraic variety X over a non-archimedean field; they applied them to prove that the analytification of X (in Berkovich's sense) is locally contractible and admits a strong deformation retraction onto a closed polyhedral subset. I will present another proof of this result, based on de Jong's alteration theorem and toroidal geometry. I will also explain how to deduce from these arguments that any compact non-archimedean analytic space has the homotopy type of a finite polyhedron.
Pour tout renseignement ou demande d'aide financière:
Contact: favre[chez]math.polytechnique.fr
Participants:
P. Autissier, W. Cherry, J-Y. Briend, A. Ducros, L. Fantini, C. Favre, J. Fresnel, W. Gignac, L-C Hsia, J. Kiwi, Q. Liu, M. Matignon, Y. Okuyama, F. Pazuki, J. Poineau, M. Raibaut, A. Thuillier, C. Toropu
AFFICHE
Nous prévoyons trois mini-cours de 3h30 chacun. Les personnes suivantes nous feront des mini-cours.
- William Cherry: non-archimedean function theory and non-archimedean analytic curves
- Michel Matignon: p-adic
dynamical systems of finite order (résumé,
transparents)
- Amaury Thuillier: toroidal deformations and the homotopy type of Berkovich space
- p-adic and non-Archimedean analogs of Nevanlinna's theory of value distribution;
- Benedetto's non-Archimedean analogs of the Ahlfors Island theorems and why Berkovich spaces appear naturally there;
- and Berkovich spaces as a tool to prove degeneracy of
Non-Archimedean analytic curves (analytic maps from the affine line) in
algebraic varieties
Résumé du cours d'Amaury Thuillier:
recently, Ehud Hrushovski and François Loeser have developped some model-theoretic tools to study the topology of an algebraic variety X over a non-archimedean field; they applied them to prove that the analytification of X (in Berkovich's sense) is locally contractible and admits a strong deformation retraction onto a closed polyhedral subset. I will present another proof of this result, based on de Jong's alteration theorem and toroidal geometry. I will also explain how to deduce from these arguments that any compact non-archimedean analytic space has the homotopy type of a finite polyhedron.
Pour tout renseignement ou demande d'aide financière:
Contact: favre[chez]math.polytechnique.fr
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Participants:
P. Autissier, W. Cherry, J-Y. Briend, A. Ducros, L. Fantini, C. Favre, J. Fresnel, W. Gignac, L-C Hsia, J. Kiwi, Q. Liu, M. Matignon, Y. Okuyama, F. Pazuki, J. Poineau, M. Raibaut, A. Thuillier, C. Toropu
AFFICHE