Séminaire Orléans

[REPORTE] Spectral Analysis on Locally Symmetric Spaces Beyond the Riemannian Setting: Hidden Symmetries and Representation Theory
Toshi Kobayashi (Université de Tokyo & IHES)
Thursday 11 September 2025 14:00 -  Orléans -  Salle de Séminaires

Résumé :

This talk presents recent developments in spectral analysis of locally symmetric spaces beyond the Riemannian framework. In particular, I will focus on settings with indefinite metrics, where both geometric and analytic challenges arise. These challenges are being addressed through a new approach based on branching theory of infinite-dimensional representations of reductive groups, which sheds light on broken symmetries in function spaces. I will outline the key ideas behind these advances in an accessible and non-technical manner.

Liens :

• Indico