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Sylvain Barre

Publications and source records attributed to Sylvain Barre.

11 recordsLinked to original sources
arXiv2021

Surgery on discrete groups

We study constructions of groups, in particular of groups of intermediate rank, which are accessible to surgery techniques.

math.GR↗
arXiv2021

Surgery on Aut(F2)

We study a geometric construction of certain finite index subgroups of Aut(F2).

math.GR↗
arXiv2020

Pauli matrices and ring puzzles

We study a family of tessellations of the Euclidean plane which are obtained by local developments of algebraic equations satisfied by the Pauli matrices.

math.GR↗
arXiv2018

Isomorphisms and parity of complexes of rank 7/4

We study the isomorphism types of simply connected complexes of rank 7/4 using a local invariant called the parity. We show that the parity can be computed explicitly in certain constructions arising from surgery.

math.GR↗
arXiv2017

Random group cobordisms of rank 7/4

We construct a model of random groups of rank 7/4, and show that in this model the random group has the exponential mesoscopic rank property.

math.GR↗
arXiv2014

Aut(F2) puzzles

This paper studies Aut(F2) and groups closely related to it from a geometric perspective.

math.GR↗
arXiv2014

Random groups and nonarchimedean lattices

We consider models of random groups in which the typical group is of intermediate rank (in particular, it is not hyperbolic). These models are parallel to M. Gromov's well-known constructions and include for example a "density model" for groups of intermediate rank. The main novelty is the higher rank nature of the random groups. They are randomization of certain families of lattices in algebraic groups (of rank 2) over local fields.

math.GR↗