BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Lioville Equations and Functional Determinants Malchiodi, Andrea


Liouville equations have interest in spectral theory, as they arise when extremizing so-called Functional Determinants. These are constructed out of spectra of conformally covariant operators, and are explicit in dimension two and four, due to formulas by Polyakov and Branson-Oersted. We discuss some existence, uniqueness, non-uniqueness results and some open problems.

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