Structure of Tempered Homogeneous Spaces. III. Limit Algebras. Minicourses. Institut Henri Poincaré, France, 21 February 2025. (Day 3 of the three lectures).

Recently, surprising and intriguing connections have been observed between the concept of ''tempered spaces for unitary representations and various other areas of mathematics. In this lecture, we will explore different aspects of tempered spaces from the perspectives of topology and geometry, including limit algebras (collapsing Lie algebras) and geometric quantization.

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© Toshiyuki Kobayashi