"From volume of
polytopes to Arthur's trace formula"
The trace formula is an important tool in the theory of automorphic
It was invented by Selberg in the rank one case and vastly generalized
Arthur. In the higher rank case a ubiquitous role is played by volumes
certain polytopes and operator valued analogues thereof. A key point is
non-commutative analogue of a tessellation argument of P.
McMullen and R.
Schneider. Applications to spectral asymptotics of locally
will also be discussed. No prior knowledge of these subjects is assumed.
Joint work with Tobias Finis and Werner Muller
February 27th, Wednesday, 5:00-6:00 pm
will be served at 4:30pm