Harish-Chandra tempered representations and homogeneous spaces

Prof. Yves Benoist (University of Paris-Saclay)

28-Oct-2020, 12:30-13:30 (3 years ago)

Abstract: In the seventies Harish-Chandra introduced the tempered representations of a semisimple real Lie group G as those that occur in the analog on G of the Fourier-Plancherel formula. Nowadays, those representations are ubiquitous.

In this talk we will recall their definition and properties and we will answer the following question:

For which connected subgroup H, does the analog on G/H of the Fourier-Plancherel formula involves only tempered representations?

Mathematics

Audience: learners


TMC Distinguished Lecture Series

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