Date/heure
2 avril 2026
14:15 - 15:15
Oratrice ou orateur
Zhipeng Song (Besançon/Gand)
Catégorie d'évènement Séminaire Théorie de Lie, Géométrie et Analyse
Résumé
Let $G/K$ be a noncompact Riemannian symmetric space, where $G$ is a noncompact connected semisimple Lie group with finite center. Via the Iwasawa decomposition $G=ANK$, we may also view $G/K$ as the solvable, non-unimodular Lie group $S=AN$. The wave equation on symmetric spaces associated with two Laplace-like operators—the Laplace–Beltrami operator of $G/K$ and the distinguished Laplacian of $S$—has been extensively studied. Numerous results on the boundedness of its solutions are available in the literature. In this talk, I will briefly review some developments in this area and then present joint work with Yulia Kuznetsova on the $L^p-L^q$ boundedness of solutions to the shifted wave equation.