Workshop   

Hyperbolic operators on Lorentzian manifolds and quantization

Erwin Schrödinger International Institute for Mathematical Physics (ESI) Vienna, Austria
10.11.2005 - 12.11. 2005

 
Organizers: Christian Bär (Potsdam), Helga Baum (Berlin), Klaus Fredenhagen (Hamburg)


Thursday, November 10

  9.00 - 10.00
Nicola Ginoux
Introductory lectures
I.  Basics on Lorentzian geometry and normally hyperbolic operators
10.15 - 11.15
Frank Pfäffle
Introductory lectures
II.  Riesz distribution
Coffee break
11.45 - 12.45
Stefan Hollands
Quantum field theory in curved space
Lunch break
14.30 - 15.30
Christopher Fewster
Quantization and positivity on manifolds
Coffee break
16.00 - 16.30
Lutz Osterbrink
Energy inequalities for nonminimally coupled scalar fields
16.45 - 17.15
Calvin Smith An absolute quantum energy inequality
Conference dinner   (19.00 im Restaurant D'Landsknecht, Porzellangasse 13)


Friday, November 11

  9.00 -10.00
Christian Bär
Introductory lectures
III.  Local fundamental solutions
10.15 -11.15
Nicola Ginoux
Introductory lectures
VI.  Cauchy problem and global fundamental solutions
Coffee break
11.45 -12.45
Felix Finster
Linear hyperbolic equations in a rotating  black hole  geometry
Lunch break
14.30 -15.30
Alexander Strohmaier
The local structure of  the Klein-Gordon field on curved spacetimes
Coffee break
16.00-17.00
Wolfgang Junker
Quantization of constrained systems on curved spacetime:  the example of the Proca field
17.15 18.15
Elmar Schrohe
Hadamard states on spacetime manifolds with boundary


Saturday, November 12
 

  9.00 -10.00
Frank.Pfäffle
Introductory lectures
V.  C* - algebras and  canonical commutator relations
10.15 - 11.15
Christian Bär
Introductory lectures
VI.  Quantization
Coffee break
11.45 - 12.45
Romeo Brunetti
Local covariance and local charges
Lunch break
14.30 - 15.30
Rainer Verch
Lorentzian (globally hyperbolic) spectral geometry and causal propagators
Coffee break
16.00 - 17.00
Miguel Sanchez
Some problems related to the smoothness of Cauchy hypersurfaces and time functions
17.15 - 18.15
Bernd Ammann
A (3+1)-dimensional spinorial Weierstrass representation


All lectures take place at the  ESI Boltzmann  Lecture Hall




Last modification: 08.11.2005