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Corps interprétables dans ACVF

Sophie Germain salle 1016

(Travail en commun avec E. Hrushovski)Le but de cet exposé sera de montrer qu'il n'y a que deux corps interprétables (à isomorphisme définissable près) dans ACVF. On commencera par rappeler des résultats de classification des groupes (abéliens) interprétables dans ACVF puis on appliquera ces résultats à l'étude des corps.

Après-midi de théorie des groupes

Institut Henri Poincaré (11 rue Pierre et Marie Curie 75005 Paris) salle 01

14.00-14.45 Pierre Pansu (Orsay) L^1 cohomology of Euclidean spaces andHeisenberg groups15.00-15.45  Tianyi Zhang  (UC San Diego) Growth of torsion Grigorchukgroups15.45-16.15 pause café16.15-17.00  Sergei Ivanov (St-Petersbourg), Transfinite invariants ofgroups and spaces17.15-18.00 Kate Juschenko (Northwestern University), On Liouvilleproperty of action of discrete groups

Painting Festival

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€5

Science Nature Day

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€15

Après-midi de théorie des groupes

ENS 45 rue d'Ulm salle W toits du DMA

14.00-14.45 Martin Bridson (Oxford), Profinite rigidity and hyperbolic 3-orbifolds15.00-15.45 Arnaud Hilion (Marseille): Boundary of cyclic hyperbolic extensions of free groups15.45-16.15 pause café16.15-17.00 Damien Gaboriau (ENS Lyon), On non-vanishing of the cohomology of Aut(Fn) and Out(Fn) in top dimensions

Après-midi de théorie de groupes

Salle W

Tuesday, 13 November14.00-14.45 Miklos Abert (Renyi Institute Budapest)15.00-15.45 Arman Darbinyan (ENS Paris)15.45-15.15 coffee break16.15-17.00 Rachel Skipper (Göttingen and ENS Lyon)

Groupes et anneaux oméga-catégoriques de fardeau fini

Salle 2015 Sophie Germain

Les groupes de fardeau fini sont les groupes NTP_2 qui correspondent aux groupes stables ou simples de rang fini. Or, le fardeau est plus difficile à manipuler car il n'est pas forcément additif par fibration. Nous montrons que ces groupes sont virtuellement abélien-par-fini, et les anneaux sont virtuellement fini-par-nuls. Ceci améliore un résultat de Kaplan, Levi et Simon qui avaient démontré qu'un groupe dp-minimal est virtuellement nilpotent.Travail en commun avec Jan Dobrowolski

Non-standard analysis and non-archimedean geometry

ENS Salle W

In this talk I will describe a joint work (still in progress) with E. Hrushovski and F. Loeser, in which we explain how the integrals I have defined with Chambert-Loir on Berkovich spaces can beseen (in the t-adic case) as limits of usual integrals on complex algebraic varieties

First-order logic in finitely generated fields

ENS Salle W

The expressive power of first-order logic in the class of finitely generated fields, as structures in the language of rings, is relatively poorly understood. For instance, Pop asked in 2002 whether elementarily equivalent finitely generated fields are necessarily isomorphic, and this is still not known in the general case. On the other hand, the related situation of finitely generated rings is much better understood by recent work of Aschenbrenner-Khélif-Naziazeno-Scanlon.Building on work of Pop and Poonen, and using geometric results due to Kerz-Saito and Gabber, I shall show that every infinite […]

Oscillatory integrals of subanalytic functions

ENS Salle W

In several papers, R. Cluckers and D. Miller have built and investigated a class of real functions which contains the subanalytic functions and which is closed under parameterized integration. This class does not allow any oscillatory behavior, nor stability under Fourier transform. On the other hand, the behavior of oscillatory integrals, in connection with singularity theory, has been heavily investigated for decades. In this talk, we explain how to build a class of complex functions, which contains the subanalytic functions and their complex exponentials, and which is closed under parameterized […]

Counting in pseudofinite structures

Salle 2015 Sophie Germain

In pseudofinite structures, the non-standard size of definable sets often reveals important algebraic or model theoretic properties of the corresponding theories. In this talk, we will give two new examples of this correlation. One is between the coarse dimension and the transformal transcendental degree in certain class of pseudofinite difference fields. The other example is that in pseudofinite H-strucures which are built from one-dimensional asymptotic classes, the coarse dimension of a tuple corresponds to the coefficient of the leading term of SU-rank of this tuple. This is the first step […]