Quantum scattering on curved spacetimes

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• Michał Wrochna (Grenoble)
• Monday 06 February 2017, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Prof. Mihalis Dafermos.

In the construction of quantum Klein-Gordon fields on a curved spacetime, the crucial step is the choice of a particle interpretation, i.e. a splitting of the solutions into positive and negative frequency parts. In the presence of asymptotic symmetries or spacetime horizons, the geometry dictates canonical particle interpretations which may however differ at past and future infinity, resulting thus in particle creation. In this talk I will give an overview of how asymptotic and microlocal analysis have been used recently to give a meaningful description of such scattering phenomena and how can the Hawking effect be described rigorously on so-called spacetimes with bifurcate Killing horizons. Finally, I will outline related conjectures on spacetimes such as Kerr or Kerr-de Sitter. (Based on joint works with C. Gérard and A. Vasy).

This talk is part of the Partial Differential Equations seminar series.

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