For more information about this meeting, contact Ping Xu, Mari Royer, Nigel Higson, Mathieu Stienon.
|Title:||Dirac operators and quantization|
|Speaker:||Jean-Philippe Michel, Université de Liège|
|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
|Date:||12 / 03 / 2013|
|Time:||02:30pm - 03:30pm|