Hidden Symmetry and Spectral Analysis on Locally Pseudo-Riemannian Symmetry Spaces. Intertwining Operators and Geometry during the thematic trimester Representation Theory and Noncommutative Geometry. Institut Henri Poincaré, France, 20-24 January 2025.

Organising Committee: Jan Frahm, Angela Pasquale
Scientific Committee: Monica Nevins, Michael Pevzner, Birgit Speh, Robert Yuncken

I would like to discuss an application of branching laws in spectral analysis on standard locally symmetric spaces, extending beyond the classical Riemannian setting. Recent advancements have overcome some challenges in global analysis with indefinite metrics, largely due to progress in the branching theory of infinite-dimensional representations of reductive groups, which are related to geometries with hidden spherical symmetries. In the course of the lecture, I hope to highlight some important, non-technical concepts.

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© Toshiyuki Kobayashi