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Research seminar "Geometric and Harmonic Analysis": Quentin Labriet (Aarhus)

Ort: digital

Titel: Convolution formulas for Jacobi polynomials and representation theory of sl(2).

Abstract: The goal of the talk is to present some convolutions formulas for Jacobi polynomials and how to obtain them using the representation theory of the Lie algebra sl(2). Doing so I will present some realizations of the so-called Hahn and Racah algebras. We will apply these formulas to prove identities involving the symmetry breaking operators involved in this problem called the Rankin-Cohen brackets. This is a joint work with L. Poulain d'Andecy from the university of Reims.