PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon, Mari Royer.

Title:Higher symmetries of Laplacian via quantization
Seminar:GAP Seminar
Speaker:Jean-Philippe Michel, Université 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:MB106
Date:09 / 16 / 2014
Time:02:30pm - 03:30pm