September 14 -18, 2015
The series of conferences named « GAGTA » is devoted to the confrontation of several viewpoints on the theory of infinite groups: geometric, combinatorial, asymptotic and probabilistic, algorithmic and computational. Topics discussed at these conferences include group actions; growth and isoperimetric functions and other asymptotic invariants; random walks; algebraic geometry on groups; algorithmic properties and their complexity; generic properties and more generally generic complexity; and applications of group theory, notably to non-commutative cryptography.
All these topics place the GAGTA conferences at a meeting point between algebra, topology and geometry, and more and more frequently, at a meeting point also with probability theory and asymptotic methods. Many of the topics discussed at these conferences have deep roots in the classical theory of groups and especially its links with geometry. We can cite also, among the results or the theories that have played an important role in the genesis of the GAGTA conferences, M. Gromov’s results at the beginning of the 1980s, the solution of Tarski’s problem by Z. Sela and by A. Miasnikov and O. Kharlampovich, and more recently the theory of relatively hyperbolic groups developed by M. Gromov, Yu. Ol’shanskii, D. Osin and other mathematicians. The 2015 edition of the conference, the ninth GAGTA and the first to be held in France, will of course rely on the fundamentals of the series; but it will additionally give a special emphasis to the contributions of asymptotic theory; the algorithmic aspects of group theory; and its connections with computer science. |
Scientific Committee
Goulnara Arzhantseva (University of Vienna) Organizing Committee Thierry Coulbois (Aix-Marseille Université) Speakers
Almost commuting permutations are near commuting permutations
Random graphs and applications to Coxeter groups
Solubility and geometry for finitely generated groups of piecewise-linear homeomorphisms
Embeddability between right-angled Artin groups and its relation to model theory and geometry
Primitive elements in low-index subgroups of finitely generated groups
Formal conjugacy growth and hyperbolicity
Sofic profile
Multifraction reduction in gcd-monoids
Stallings foldings for Zm x Fn
EDT0L-like description of the solution sets for a word equations over RAAGs
Solution sets for equations over free groups are EDT0L languages
Groups with the property R infinite
The planar Cayley graphs are effectively enumerable
Quadratic equations in self similar groups
Higher divergence functions for Heisenberg Groups
On a class of Artin groups
Conjugacy Problem in Polycyclic and Metabelian Groups: Algorithms and Complexity
On some classes of Coxeter- and Artin-like groups
On limit groups over partially commutative groups
Model Theory of groups and algebras
Path lifting properties and embedding between RAAGs
Induced automorphisms
Algorithmic double personality of finitely generated nilpotent groups
Substitutional dynamics associated with Grigorchuk’s group
Invariant random subgroups of acylindrically hyperbolic groups
From automatic semigroups to automaton semigroups
Hilbert’s Nullstellensatz in algebraic geometry over rigid solvable groups
CSA and CT groups and related topics
On subgroups of the R. Thompson group F
Semigroups of linear functions
Extending endomorphisms of hyperbolic groups to the boundary
Lattices, superrigidity and surfaces
The degree of commutativity of an infinite group
The
An analogue of the curve complex for Garside groups
Fixed subgroups are compressed in surface groups
Hausdor dimension of boundaries of relatively hyperbolic groups
Kurosh rank of intersection of subgroups in groups acting
Random walks on random symmetric groups |