Rankin-Cohen operators for symmetric pairs
Speaker: Michael Pevzner, Universite de Reims
Abstract: Rankin-Cohen brackets play an important role in analytic number theory and deformation quantization. These specific bi-differential operators can also be interpreted as intertwining operators for some infinite dimensional representations of the Lie group SL(2,R). We present their analogues that appear in the framework of breaking symmetries for a large class of reductive symmetric pairs and explain in a systematic way why such equivariant differential operators are described in terms of Jacobi orthogonal polynomials. It is a joint work with T. Kobayashi.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm