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Research Bernoulli Institute Calendar

Colloquium Mathematics - Matteo Capoferri, University College London

When:Tu 04-06-2019 16:00 - 17:00
Where:5161.0293 Bernoulliborg

Title: Wave propagator on Riemannian manifolds


In my talk I will present a global, invariant and explicit construction of hyperbolic propagators on closed Riemannian manifolds, focussing in particular on the wave propagator. Here the propagator is the operator that maps initial conditions to a solution of the wave equation and “explicit” means reducing the problem to integration of ordinary differential equations. This can be achieved by representing the propagator as a single Fourier integral operator with distinguished complex-valued phase function, global both in space and in time. The knowledge of the propagator allows one, in turn, to recover asymptotic spectral properties of the operators at hand.

The talk is based on the preprint arXiv:1902.06982, joint with D. Vassiliev (UCL) and M. Levitin (Reading).