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Combinatorial and model-theoretic properties of groups
Our work here relates to certain routes for the construction of new groups, and in particular, of counter-examples to the Cherlin-Zilber conjecture. We managed to find... -
On the definability of radicals in supersimple groups
If G is a group with supersimple theory having finite SU-rank, the subgroup of G generated by all of its normal nilpotent subgroups is definable and nilpotent. This... -
Definable Envelopes of Nilpotent Subgroups of Groups with Chain Conditions on...
An $\mathfrak{M}_C$ group is a group in which all chains of centralizers have finite length. In this article, we show that every nilpotent subgroup of an... -
In Defense of Logical Universalism. Taking Issue with Jean van Heijenoort
International audience -
Subshifts as models for MSO logic
International audience -
Subshifts as Models for MSO Logic
We study the Monadic Second Order (MSO) Hierarchy over colourings of the discrete plane, and draw links between classes of formula and classes of subshifts. We give a... -
Relative geometries
International audience -
Model-completion of scaled lattices
27 pages -
Supersimplicity and quadratic extensions
International audience -
Recent Developments in Model Theory
International audience -
A unified approach to structural limits, and limits of graphs with bounded tr...
In this paper we introduce a general framework for the study of limits of relational structures in general and graphs in particular, which is based on a combination of... -
Abstract Model Theory Results in the Framework of the Institutions: Towards l...
The importance of Craig interpolation for structuration and modularity of axiomatic style specifications have been shown by many works. In order to give sufficient... -
Modeling Limits in Hereditary Classes: Reduction and Application to Trees
Limits of graphs were initiated recently in the two extreme contexts of dense and bounded degree graphs. This led to elegant limiting structures called graphons and... -
External definability and groups in NIP theories
28 pages. Introduction was expanded and some minor mistakes were corrected. Journal of the London Mathematical Society, accepted -
Numéro Spécial à l’occasion du Workshop Homotopie, 20-21 octobre 2011, Instit...
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