Feynman problems for the Klein-Gordon and wave equation

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• Michal Wrochna (Utrecht)
• Monday 27 January 2025, 14:00-15:00
• MR13.

If you have a question about this talk, please contact Dr Greg Taujanskas.

The Klein-Gordon or wave equation has rather unusual features if one imposes so-called Feynman asymptotic conditions. It enjoys a theory that in some ways resembles elliptic settings: think Fredholm operators, limiting absorption principle, standing waves, etc. In this talk I will give an overview of this theory and explain how it arises in applications at the interface of GR, QFT and differential geometry. I will then present new results on asymptotically Minkowski spaces for Klein-Gordon equations with complex mass term that use microlocal estimates in a resolved scattering calculus and mixed classical-semiclassical versions of it. The talk is based on joint works with Nguyen Viet Dang (Sorbonne Université), Christian Gérard (Paris-Saclay) and András Vasy (Stanford).

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

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