Columbia
Mathematics Department
Colloquium
"From volume of
polytopes to Arthur's trace formula"
by
Erez Lapid
(Hebrew University)
Abstract:
The trace formula is an important tool in the theory of automorphic
forms.
It was invented by Selberg in the rank one case and vastly generalized
by
Arthur. In the higher rank case a ubiquitous role is played by volumes
of
certain polytopes and operator valued analogues thereof. A key point is
a
non-commutative analogue of a tessellation argument of P.
McMullen and R.
Schneider. Applications to spectral asymptotics of locally
symmetric spaces
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
Mathematics
520
Tea
will be served at 4:30pm