Higher symmetries of Laplacian via quantization
Speaker: Jean-Philippe Michel, UniversitÃ© catholique de Louvain
Abstract: We first review the seminal results of M. Eastwood on the so-called higher symmetries of Laplacian. In particular, in dimension n, they form an algebra isomorphic to the quotient of the universal envelopping algebra of o(n+ 2;C) by the Joseph ideal. We propose a new method to classify those symmetries, relying on the conformally equivariant quantization. In signature (p;q), this provides links between: - higher symmetries of laplacian, - the minimal representation of O(p+ 1;q+ 1) on the kernel of the Laplacian - the invariant star-product on the minimal coadjoint orbit of O(p+1;q+1).
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm