Monday, January 28, 2019 - 10:00 in V2-210/216
A trace formula for stationary spacetimes
A talk in the Oberseminar Analysis series by
Alexander Strohmaier
| Abstract: |
The Gutzwiller-Duistermaat-Guillemin trace formula is an important formula in spectral geometry. It relates the spectrum of the Laplace operator to the non-local geometry of the underlying manifold.
I will explain a generalisation of this formula to the more general and relativistic setting of stationary spacetimes. The underlying classical geometry turns out to be the symplectic manifold of (scaled) null-geodesics.
(Joint work with S. Zelditch)
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