Les espaces de Berkovich sont modérés [d'après Ehud Hrushovski et François Loeser]
Séminaire Bourbaki volume 2011/2012 exposés 1043-1058, Astérisque, no. 352 (2013), Exposé no. 1056, 49 p.
@incollection{AST_2013__352__459_0,
     author = {Ducros, Antoine},
     title = {Les espaces de {Berkovich} sont mod\'er\'es [d'apr\`es {Ehud} {Hrushovski} et {Fran\c{c}ois} {Loeser]}},
     booktitle = {S\'eminaire Bourbaki volume 2011/2012 expos\'es 1043-1058},
     series = {Ast\'erisque},
     note = {talk:1056},
     pages = {459--507},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {352},
     year = {2013},
     mrnumber = {3087354},
     zbl = {1301.14010},
     language = {fr},
     url = {http://archive.numdam.org/item/AST_2013__352__459_0/}
}
TY  - CHAP
AU  - Ducros, Antoine
TI  - Les espaces de Berkovich sont modérés [d'après Ehud Hrushovski et François Loeser]
BT  - Séminaire Bourbaki volume 2011/2012 exposés 1043-1058
AU  - Collectif
T3  - Astérisque
N1  - talk:1056
PY  - 2013
SP  - 459
EP  - 507
IS  - 352
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/AST_2013__352__459_0/
LA  - fr
ID  - AST_2013__352__459_0
ER  - 
%0 Book Section
%A Ducros, Antoine
%T Les espaces de Berkovich sont modérés [d'après Ehud Hrushovski et François Loeser]
%B Séminaire Bourbaki volume 2011/2012 exposés 1043-1058
%A Collectif
%S Astérisque
%Z talk:1056
%D 2013
%P 459-507
%N 352
%I Société mathématique de France
%U http://archive.numdam.org/item/AST_2013__352__459_0/
%G fr
%F AST_2013__352__459_0
Ducros, Antoine. Les espaces de Berkovich sont modérés [d'après Ehud Hrushovski et François Loeser], dans Séminaire Bourbaki volume 2011/2012 exposés 1043-1058, Astérisque, no. 352 (2013), Exposé no. 1056, 49 p. http://archive.numdam.org/item/AST_2013__352__459_0/

[1] A. Abbes & T. Saito - Ramification of local fields with imperfect residue fields, Amer. J. Math. 124 (2002), n° 5, p. 879-920. | DOI | MR | Zbl

[2] V. G. Berkovich - Spectral theory and analytic geometry over non-Archimedean fields, Mathematical Surveys and Monographs, vol. 33, Amer. Math. Soc, 1990. | MR | Zbl

[3] V. G. Berkovich, Étale cohomology for non-Archimedean analytic spaces, Publ. Math. I.H.É.S. (199), n° 78, p. 5-161 (1994). | EuDML | Numdam | MR | Zbl

[4] V. G. Berkovich, Smooth p-adic analytic spaces are locally contractible, Invent. Math. 137 (1999), n° 1, p. 1-84. | DOI | MR | Zbl

[5] V. G. Berkovich, An analog of Tate's conjecture over local and finitely generated fields, Int. Math. Res. Not. 2000 (2000), n° 13, p. 665-680. | DOI | MR | Zbl

[6] V. G. Berkovich, A non-Archimedean interpretation of the weight zero subspaces of limit mixed Hodge structures, in Algebra, arithmetic, and geometry : in honor of Yu. I. Manin. Vol. I, Progr. Math., vol. 269, Birkhäuser, 2009, p. 49-67. | DOI | MR | Zbl

[7] J. Bochnak, M. Coste & M.-F. Roy - Géométrie algébrique réelle, Ergebnisse Math. Grenzg., vol. 12, Springer, 1987. | MR | Zbl

[8] S. Bosch - Eine bemerkenswerte Eigenschaft der formellen Fasern affinoider Räume, Math. Ann. 229 (1977), n° 1, p. 25-45. | DOI | EuDML | MR | Zbl

[9] S. Bosch, W. Lütkebohmert & M. Raynaud - Formal and rigid geometry. IV. The reduced fibre theorem, Invent. Math. 119 (1995), n° 2, p. 361-398. | DOI | EuDML | MR | Zbl

[10] A. Ducros - Parties semi-algébriques d'une variété algébrique p-adique, Manuscripta Math. 111 (2003), n° 4, p. 513-528. | DOI | MR | Zbl

[11] A. Ducros, Espaces analytiques p-adiques au sens de Berkovich, Séminaire Bourbaki, vol.2005/2006, exposé n° 958, Astérisque 311 (2007), p. 137-176. | EuDML | Numdam | MR | Zbl

[12] H. P. Epp - Eliminating wild ramification, Invent. Math. 19 (1973), p. 235-249. | DOI | EuDML | MR | Zbl

[13] H. Grauert & R. Remmert - Über die Methode der diskret bewerteten Ringe in der nicht-archimedischen Analysis, Invent. Math. 2 (1966), p. 87-133. | DOI | EuDML | MR | Zbl

[14] D. Haskell, E. Hrushovski & D. Macpherson - Stable domination and independence in algebraically closed valued fields, Lecture Notes in Logic, vol. 30, CUP, 2008. | MR | Zbl

[15] D. Haskell, E. Hrushovski & D. Macpherson - Definable sets in algebraically closed valued fields : elimination of imaginaries, J. reine angew. Math. 597 (2006), p. 175-236. | MR | Zbl

[16] E. Hrushovski - Constructible sets over valued fields, http://www.singacom.uva.es/oldsite/seminarios/ConfWorkVT/archivos/Hrushovski.pdf.

[17] E. Hrushovski & F. Loeser - Nonarchimedean tame topology and stably dominated types, prépublication arXiv:1009.0252. | MR | Zbl

[18] D. Marker - Model theory, Graduate Texts in Math., vol. 217, Springer, 2002. | MR | Zbl

[19] J. Nicaise - Singular cohomology of the analytic Milnor fiber, and mixed Hodge structure on the nearby cohomology, J. Algebraic Geom. 20 (2011), n° 2, p. 199-237. | DOI | MR | Zbl

[20] J. Poineau - Un résultat de connexité pour les variétés analytiques p-adiques : privilège et noethérianité, Compos. Math. 144 (2008), n° 1, p. 107-133. | DOI | MR | Zbl

[21] K. Tent & M. Ziegler - A course in model theory, Lecture Notes in Logic, vol. 40, CUP, 2012. | MR | Zbl