Programme:
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
Résumé du cours de William Cherry:
- 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
Mercredi 15 Juin
|
Salle 1
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14h00 -15h00:
Cherry
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15h30- 16h30:
Matignon
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16h45- 17h45:
Thuillier
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|
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Jeudi 16 Juin |
Salle de
conférences
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9h30-11h00: Cherry
|
déjeuner
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13h30-15h00: Thuillier
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15h30-17h00: Matignon
|
|
Vendredi 17 Juin
|
Salle 1
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9h00-10h00: Thuillier
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10h15-11h15: Matignon
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11h30-12h30: Cherry
|
|
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