
Gregory C. Bell (Pennsylvania State University) Pennsylvania
Title 1: Intorduction to asymptotic dimension
In this first talk I will introduce various notions of asymptotic
dimension and other closely related asymptotic invariants.
Title 2: Asymptotic dimension and group actions
In this talk I will discuss ways that one can recover the asymptotic
dimension of a group from its action on a metric space. This yields upper
bound estimates on dimension for large classes of groups.

Fujiwara Koji (Tohoku University) Sendai
Title: CAT(0) dimensions of discrete groups

Ishiwata Satoshi (Tohoku University) Sendai
Title: Geometric and analytic properties in the behavior
of the random walks on nilpotent covering graphs

Kamimura Shingo (Keio University) Hiyoshi
Title: Discrete Quantum Groups

Moriyoshi Hitoshi (Keio University) Hiyoshi
Title 1: A twisted \Gamma index thoerm
Title 2: A manifold with end like Cantor set and UHF algebras

Ohta Shinichi (Kyoto University) Kyoto
Title: Regularity of harmonic functions on metric spaces

Yann Ollivier (Paris Universite) Orsay
Title: Overview of results on random groups
We will present the philosophy and main results about random
groups: critical density and phase transitions phenomenon,
algebraic and spectral properties, and construction of groups with
prescribed Cayley graphs.

Michah Sageev (Technion) Haifa
Title 1: CAT(0) cubical complexes in group theory
We will give an overview of groups acting on CAT(0) cubical complexes
and discuss how they relate to various other topics in geometric group
theory.
Title 2: Maximally symmetric trees
We will discuss a quasiisometric rigidity result
for group actions onbounded valence bushy trees.
We then discuss how this result,
together with some results on edgeindexed graphs,
can be used to characterize the ``best" model
geometries for the class of virtually free groups.
This is joint work with Lee Mosher and Kevin Whyte.

Qin Wang (Dong Hua University) Shanghai
Title: Ideal Structure of Uniform Roe Algebras of Coarse Spaces

Daniel Wise (McGill University) Montreal
Title 1: On the vanishing of the 2nd L^2 betti number.
I will discuss conditions on a 2complex which guarantee that its 2nd
L^2 betti number vanishes. One application is that the fundamental group of
certain
2complexes are "coherent" which means all their finitely generated
subgroups are finitely presented.
Title 2: Cubulating Small Cancellation Groups.
I prove that groups satisfying certain smallcancellation conditions act
properly discontinuously and cocompactly on CAT(0) cube complexes. In
particular, my results hold for finitely presented groups with
presentations satisfying either the C'(1/4)T(4) or the C'(1/6) conditions.
These results can be viewed as a "geometrization theorem" for
smallcancellation group. I will discuss codimension1 subgroups, relations
to Kazhdan's propertyT, and the dichotomy between wordhyperbolicity and
ZxZ subgroups for certain smallcancellation groups. The results depend
upon an elegant but powerful method for constructing actions on cube
complexes that was introduced by Sageev.

Nick Wright (Vanderbilt University) Nashville
Title 1: Coarse geometry and $C^*$algebras
In this first talk I will introduce the Roe algebra, and discuss
how this encodes information about the large scale structure of a space. I
will also talk about the relation with the Khomology of a space.
Title 2: $C_0$ coarse geometry and scalar curvature
In this second talk I will discuss the $C_0$ variant of coarse
geometry, and I will indicate how coarse geometry can be used to establish
upper bounds on the scalar curvature content of a space.

Yamashita Yasushi (Nara Women University) Nara
Makoto Tamura (Osaka Sangyo University) Osaka
Yoshiyuki Nakagawa (Ryukoku University) Kyoto
Title: On Gersten's problem

Andrzej Zuk (Chicago University, ENS Lyon) Chicago, Lyon
Title: On the Cheeger constant for modular surfaces