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CONFERENCE

GAGTA-9 : Geometric, Asymptotic and Combinatorial Group Theory and Applications

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.

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Scientific Committee

Goulnara Arzhantseva (University of Vienna)
Laurent Bartholdi (University of Göttingen)
Patrick Dehornoy (Université de Caen & Université Paris-Diderot)
Anna Erschler (Université Paris-Sud)
Olga Kharlampovich (Hunter College, CUNY)
Vincent Guirardel (Université Rennes 1)
Enric Ventura (UPC Barcelona)

Organizing Committee

Thierry Coulbois (Aix-Marseille Université)
Pascal Weil (Université Bordeaux 1)

Speakers

• Goulnara Arzhantseva (University of Vienna)

Almost commuting permutations are near commuting permutations

• Jason Behrstock (Columbia University, New York)

Random graphs and applications to Coxeter groups

• Tara Brough (University of St Andrews)

Solubility and geometry for finitely generated groups of piecewise-linear homeomorphisms

• Pep Burillo (University 'Politècnica de Catalunya')
  

• Montserrat Casals-Ruiz (University 'Pais Vasco')
  

Embeddability between right-angled Artin groups and its relation to model theory and geometry

• Maurice Chiodo (University of Neuchâtel)

Primitive elements in low-index subgroups of finitely generated groups

• Laura Ciobanu (University of Neuchâtel)

Formal conjugacy growth and hyperbolicity

• Yves de Cornulier (Université Paris-Sud)

Sofic profile

• Patrick Dehornoy (Université de Caen)

Multifraction reduction in gcd-monoids

• Jordi Delgado (University 'Politècnica de Catalunya')
  

Stallings foldings for Zm x Fn

• Volker Diekert (University of Stuttgart)
  

EDT0L-like description of the solution sets for a word equations over RAAGs

• Murray Elder (University of Newcastle)

Solution sets for equations over free groups are EDT0L languages

• Alexander Felshtyn (University of Szczecin)

Groups with the property R infinite

• Agelos Georgakopoulos (University of Warwick)

The planar Cayley graphs are effectively enumerable

• Torsten Groth (Georg August University of Göttingen)
  

Quadratic equations in self similar groups

• Moritz Gruber (Karlsruhe Institute of Technology)
  

Higher divergence functions for Heisenberg Groups

• Arye Juhasz (Technion Israel Institute of Technology)

On a class of Artin groups

• Delaram Kahrobaei (City University of New York)

Conjugacy Problem in Polycyclic and Metabelian Groups: Algorithms and Complexity

• Arkadius Kalka (Bar-Ilan University)

On some classes of Coxeter- and Artin-like groups

• Ilya Kazachkov (University 'Pais Vasco')
  

On limit groups over partially commutative groups

• Olga Kharlampovich (Hunter College, CUNY)

Model Theory of groups and algebras

• Sang-Jin Lee (Konkuk University)

Path lifting properties and embedding between RAAGs

• Gilbert Levitt (Université de Caen)

Induced automorphisms

• Alexei Miasnikov (Stevens Institute of Technology)

Algorithmic double personality of finitely generated nilpotent groups

• Tatiana Nagnibeda (Université de Genève)

Substitutional dynamics associated with Grigorchuk's group

• Denis Osin (Vanderbilt University)

Invariant random subgroups of acylindrically hyperbolic groups

• Matthieu Picantin (Université Paris Diderot)
  

From automatic semigroups to automaton semigroups

• Nikolay Romanovskiy (Sobolev Institute of Mathematics, Novosibirsk)

Hilbert's Nullstellensatz in algebraic geometry over rigid solvable groups

• Gerhard Rosenberger (University of Hamburg)
  

CSA and CT groups and related topics

• Mark Sapir (Vanderbilt University)

On subgroups of the R. Thompson group F

• Vladimir Shpilrain (City College, CUNY)

Semigroups of linear functions

• Pedro Silva (University of Porto)

Extending endomorphisms of hyperbolic groups to the boundary

• Alina Vdovina (University of Newcastle)

Lattices, superrigidity and surfaces

• Enric Ventura (University 'Politècnica de Catalunya')
  

The degree of commutativity of an infinite group

• Stefan Virchow (University of Rostock)
  

The Probability of Generating the Symmetric Group

• Bert Wiest (Université de Rennes 1)

An analogue of the curve complex for Garside groups

• Jianchun Wu (University 'Politècnica de Catalunya')
  

Fixed subgroups are compressed in surface groups

• Wenyuan Yang (Beijing International Center for Mathematical Research)

Hausdor dimension of boundaries of relatively hyperbolic groups

• Alexander Zakharov (University 'Pais Vasco')
  

Kurosh rank of intersection of subgroups in groups acting
on trees with nite edge stabilizers

• Andrzej Zuk (Université Paris-Diderot)
  

Random walks on random symmetric groups