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Northern British Geometric Group
Theory
Glasgow Meeting
7th8th
November, 2014
The University of Glasgow will be hosting the Autumn 2014
NBGGT meeting 7th8th November, 2014
(FridaySaturday).
Abstracts of Talks:
 4:30  5:30, Friday 7th November, Alessandra Iozzi (ETH Zurich):
Let M be a 3manifold. A finite volume
hyperbolization corresponds to a lattice injection of
the fundamental group into SL(2,C) and we can think of
the volume of the manifold as an invariant of this
injection. We extend this invariant to arbitrary
representations of the fundamental group into SL(n,C)
and we characterize the representations that
correspond to its maximal value. Our definition
of the invariant depends of the study of the bounded
cohomology of SL(n,C) in degree three, but the
invariant has been previously considered for a more
restricted family of representations by various
authors using ideal triangulations of the manifold.
 9:30  10:30, Saturday 8th November, Aditi Kar (Oxford):
Rank and Deficiency gradients quantify
the asymptotics of finite approximations of a group.
These group invariants have surprising connections
with many different areas of mathematics: 3manifolds,
L^2 Betti numbers, topological dynamics and profinite
groups. I will give a survey of the current
state of research in Gradients for groups and describe
important open questions.
 12:00  1:00, Saturday 8th November, Marc Burger (ETH
Zurich):
Groups acting properly and cofinitely on the
product of two regular trees give a class of finitely
presented groups in which various behaviours are
possible: there are linear examples, nonlinear and
SQuniversal examples, and even examples which are
simple. In this talk we will first recall the general
philosophy underlying our approach in the study of
this class of groups; then we will treat the
question of the existence of infinite increasing
towers of such groups. This is joint work with
Shahar Mozes.
Organising Committee:
Anne Thomas (Anne.Thomas@glasgow.ac.uk), Tara Brendle
(Tara.Brendle@glasgow.ac.uk)
