Brief description:
The workshop will survey some of the most significant results in the
theory of arithmetic groups obtained in the last few years.
Special attention will be devoted to
the actions of arithmetic groups on homogeneous spaces, new
applications of the volume
formula, and analysis
of weakly commensurable arithmetic groups that has led to
new results on isospectral locally symmetric spaces. The workshop
will also feature talks
on various applications of arithmetic groups in combinatorics,
e.g., new constructions of expander graphs.
Several important open problems in arithmetic
groups and related areas will be discussed, such as virtual
positivity of the
first Betti number (particularly, for lattices in SL_2(C)) and bounded
generation
of higher rank arithmetic groups. One of the
main objectives of the workshop is to make the results and methods of
the theory of arithmetic groups
accessible to
researchers, including postdocs and graduate students, working in a
variety of areas.
Participation:
The workshop is open to everyone, and there is no registration fee.
Some
finanical aid may be available. If you are interested
in participating, contact one of the organizers:
