Dirac operators and quantization
Speaker: Jean-Philippe Michel, UniversitÃ© de LiÃ¨ge
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: 106 McAllister
Time: 2:30pm - 3:30pm