Combinatorial and Geometric Group Theory Conference

May 5 - 10, 2006


Abstracts of all talks are here.

All 45-minute plenary talks and the Shanks lecture will occur in SC4309, sectional talks will be in SC1308, SC1431, SC1432.


Friday, May 5
9:00-9:15 Welcome
9:15-10:05 Alexander Olshanskii Van Kampen diagrams, machines, and asymptotic behavior of groups
10:05-10:25 Coffee Break
10:25-11:15 Gilbert Baumslag Residually torsion-free-nilpotent groups
11:25-12:15 Vladimir Remeslennikov Pro-p groups with non-isomorphic discrete and continuous cohomology groups
12:15-2:00 Lunch Break
2:00-2:50 Igor Mineyev Relative hyperbolicity and bounded cohomology
3:00-3:50 Sergei Ivanov On balanced presentations of the trivial group
3:50-4:10 Coffee Break
4:10-5:20 Parallel sections
SC 1308
SC 1431
SC 1432
John Ratcliffe 
Matching theorems for 
Coxeter systems of a finitely 
generated Coxeter group
Luda Markus-Epstein 
Algorithmic problems in amalgams 
of finite groups
Atish Mitra 
Dimension zero at all scales
Ilya Kazachkov
Orthogonal systems 
in graphs and free 
partially commutative 
Arye Juhasz 
Certain quotients of 
HNN-extensions which 
are HNN-extensions.
Nikolay Brodskiy 
Hurewicz Theorem for 
Nagata-Assouad dimension
Saturday, May 6
9:00-9:50 Alexander Dranishnikov Embedding of groups into the product of binary trees
9:50-10:10 Coffee Break
10:10-11:00 Nicolas Monod Splitting and CAT(0) superrigidity for lattices in products
11:10-12:00 Volodymyr Nekrashevych A minimal Cantor set in the space of 3-generated groups
12:00- 2:00 Lunch
2:00-5:40 Parallel sections
SC 1308
SC 1431
SC 1432
Vladimir Shpilrain 
Translation equivalence
in free groups
Peter John Davidson 
Second order Dehn functions 
of Pride groups
Lucas Sabalka 
On rigidity and the 
isomorphism problem for 
four strand tree braid 
Graham Niblo 
Obstructions to splitting
Max Forester 
High dimensional filling 
invariants of groups
Alexandra Pettet 
Finiteness properties for 
the kernel of the pure 
motion group of n unlinked 
Olga Macedonska 
Olshanskii method and 
positive laws in groups
Robert Young 
Scaled relators and Dehn 
functions for nilpotent groups
Denis Serbin 
Groups with regular free 
length functions in Z^n
Alexander Fel'shtyn 
Twisted Burnside-Frobenius
theorem for discrete groups
Tim Riley 
Geometric notions of space 
complexity for the word problem
Olga Kharlampovich 
Isomorphism and other algorithmic 
problems for fully residually free 
Koji Fujiwara 
The asymptotic dimension 
of a curve graph is finite
Xiangdong Xie 
Uniform spaces and 
Gromov hyperbolicity
Boris Plotkin 
Some Tarskii-type problems and 
logical invariants of algebras
Sunday, May 7
9:00 - 9:50 Efim Zelmanov Some open problems in Ring Theory
9:50-10:10 Coffee Break
10:10-11:00 Mikhail Ershov Golod-Shafarevich groups with property (T) and Kac-Moody groups
11:10 -12:00 Rostislav Grigorchuk Hanoi Tower Groups and Schreier Graphs 
12:00-2:00 Lunch Break
2:00-4:30 Parallel sections
SC 1308
SC 1431
SC 1432
Igor Belegradek 
Rips construction and 
Kazhdan property (T)
Collin Bleak 
A universal, minimal, 
non-solvable subgroup of PLo(I) 
and of R. Thompson's group F
Alexander Borisov 
Periodic points of self-maps 
of algebraic varieties and their 
applications to group 
Dmitriy Sonkin 
Uniform Kazhdan groups
Daniel Farley 
The action of Thompson's 
Group on a CAT(0) boundary
Eugene Plotkin 
How to define the Burnside-
type problems for solvability
property of groups and Lie
Keivan Mallahi-Karai 
Kazhdan constant for automorphisms 
of nilpotent groups
Dan Guralnik 
Coarse decompositions 
for boundaries of 
cubulated CAT(0) spaces
Vitaliy Sushchanskiy 
Automorphism groups 
of trees and Sylow 
p-subgroups of finitary 
symmetric groups
Angela Barnhill 
Global fixed points for actions 
on CAT(0) spaces
Kai-Uwe Bux 
The Dimension of the 
Torelli Group for Out(F_n)
Anton Klyachko 
One-relator relative presentations
4:30-4:50 Coffee break
4:50-5:00 Introduction of the 21st Shanks lecturer, A. Lubotzky
5:00-6:00 Shanks Lecture: Alex Lubotzky Finite groups and hyperbolic manifolds
6:00-7:00 Reception (Molecular Biology Breezeway)
7:30 Dinner Party (Holiday Inn, Ballroom). 
Monday, May 8
9:00-10:00 Alex Lubotzky Linear representations of the automorphism group of a free group
10:00-10:20 Coffee Break
10:20-11:10 Shmuel Weinberger Spaces of Translations
11:20-12:10 Alexei Miasnikov On elementary theories of free groups
12:10-2:00 Lunch Break
2:00-2:50 Daniel Wise Special Cube Complexes
3:00-5:30 Parallel sections 
SC 1308
SC 1431
SC 1432
Karel Dekimpe 
Free actions of elementary 
abelian groups on tori
Jason Manning 
Combinatorial horoballs, 
quasi-geodesic bicombings, 
and relative hyperbolicity
Lev Shneerson 
On the growth in 
semigroup varieties
Maciej Czarnecki 
Boundary of foliations
Yuri Bahturin 
Gradings by Groups on Classical
Simple Algebras.
John Meakin 
From idempotent-generated 
semigroups to 2-complexes
Jose Higes 
Nagata-Assouad dimension 
via Lipschitz extensions
Jason Behrstock 
Thick metric spaces,
relative hyperbolicity, and
quasi-isometric rigidity
Volker Diekert 
Complexity and decidability
results for some
free inverse monoids
Lewis Bowen 
A generalization of the 
prime geodesic theorem
to counting conjugacy classes
of free subgroups.
Ruth Charney 
Toward outer space for 
right angled Artin groups
Benjamin Steinberg 
Algebraic combinatorics,
semigroup representations 
and random walks on 
hyperplane chambers 
after Ken Brown.
Tuesday, May 9 
9:00-9:50 Karen Vogtmann The ephemeral Morita classes
9:50-10:10 Coffee Break
10:10-11:00 Paul E. Schupp Random Quotients of the Modular Group are Rigid
11:10-12:00 Panos Papasoglu Cut points and splittings of CAT(0) groups
12:00-2:00 Lunch Break
2:00-2:50 Michael Kapovich Generalized triangle inequalities and their applications
3:00-5:30 Parallel sections
SC 1308
SC 1431
SC 1432
Alexey Muranov 
Infinite simple groups of 
large commutator width
Ashot Minasyan 
On the engulfing property for 
word hyperbolic groups
Vahagn H. Mikaelian 
Continuum varieties of groups 
and verbal embeddings of 
Michael Mihalik 
Decompositions of Coxeter groups 
over minimal splittings
Yves de Cornulier
Strongly bounded groups
Galina Deryabina 
Multiplicative groups 
of Engel associative algebras
Rena Levitt 
Biautomaticity and 
nonpositively curved 
piecewise Euclidean 
Yuriy Leonov 
Growth of self-similar 
Alexei Krasilnikov 
Bigroups and a limit 
variety of groups
Bernhard Muehlherr 
Simply connected subsets of 
Zoran Sunic 
Hanoi Towers group as 
iterated monodromy 
Yuri Kuzmin 
Homology identities of
nilpotent groups have 
the finite basis property
Wednesday, May 10
9:00-9:50 Nikolay Romanovskiy Free product decompositions in images of certain free products of groups
9:50-10:10 Coffee Break
10:10-11:00 Victor Guba Metric and growth properties of R.Thompson's group F
11:10-12:00 Mark Sapir Groups acting on tree-graded spaces
End of conference