PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Dirac operators and quantization
Seminar:GAP Seminar
Speaker:Jean-Philippe Michel, Université de Liège
Abstract:
Both Dirac operators and quantization maps (inverse of a symbol map) are of fundamental importance in mathematics. After reviewing both concepts, we develop a symbol calculus for spinor differential operators and present two applications: classification of symmetries of the standard (pseudo-Riemannian) Dirac operator and characterization of Courant algebroids through Dirac generating operators. The key step in our work is to associate a graded Poisson algebra to the algebra of spinor differential operators, thanks to a well-chosen filtration on the latter.

Room Reservation Information

Room Number:MB106
Date:12 / 03 / 2013
Time:02:30pm - 03:30pm