The
workshop will bring together
mathematicians interested in geometric and analytic aspects of
hyperbolic operators on Lorentzian manifolds and physicists working in
quantum field theory on curved spacetimes. The aim is to discuss recent
results and open problems in the field.
Invited speakers include: B.
Ammann (Nancy), R. Brunetti (Hamburg), C.
Fewster (York), F. Finster (Regensburg), G. Hollands (Göttingen),
G. Huisken (AEI Potsdam), W. Junker (Hannover), I. Kath (MPI Leipzig),
M. Sanchez (Granada),
E. Schrohe (Hannover), R. Verch (Leipzig)
The
workshop will include the following
series
of
introductory lectures for PhD students and younger
scientists, given by Chr. Bär, N. Ginoux
and F. Pfäffle (Potsdam):
1. Basics on Lorentzian geometry and
normally hyperbolic operators
2. Riesz distributions
3. Local fundamental solutions
4. Cauchy problem and global fundamental solutions
5. C*-algebras and canonical commutator relations
6. Quantization
The workshop will take place during the
ESI-program
"Geometry of pseudo-Riemannian manifolds with applications in Physics"
held at the Erwin Schrödinger Insitute in Vienna, September -
December 2005. It
is supported by the DFG-Schwerpunktprogramm 1154 "Global
Differential
Geometry", the Erwin Schrödinger Institute and the SFB 647
"Space-Time-Matter. Analytic and Geometric Structures" .
The workshop will take place at the Erwin Schrödinger Institute
for Mathematical Physics (ESI),