For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon, Calder Daenzer, Mari Royer.
|Title:||Higher symmetries of Laplacian via quantization|
|Speaker:||Jean-Philippe Michel, Université catholique de Louvain|
|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
Room Reservation Information
|Date:||09 / 16 / 2014|
|Time:||02:30pm - 03:30pm|