Locally Symmetric Spaces Seminar

We will present an introduction to Arthur's trace formula from an analytic point of view. After recalling Arthur's regularization procedure, we will review the absolute convergence and continuity of the trace formula for a large natural class of test functions (defined by L^1-conditions on suitably many derivatives). We will then discuss a concrete application to the asymptotics of traces of Hecke operators (for classical groups and G2).

This is joint work with Erez Lapid, Werner Mueller and Jasmin Matz.