Arithmetic and analysis on locally symmetric spaces
             Peter Sarnak (Princeton)

   Analysis on arithmetic locally symmetric spaces is at the
heart of many developments and applications of the modern theory
of automorphic forms. These applications include ones to
classical problems of number theory,and  recently to
mathematical physics. Especially active are questions
of equidistribution of arithmetic and geometric objects
on these spaces. In these lectures we plan to describe some of the
basic arithmetic, analytic and ergodic theoretic tools which have
been effectively used in the theory. We hope to describe a few
applications as well.