Quantization by groupoids for solvable symplectic symmetric spaces
Speaker: Yannick Voglaire, Louvain-la-Neuve, Belgium
Abstract: In the framework of his "quantization by groupoids" program, Alan Weinstein showed in 1994 strong links between associativity and geometry in the quantization problem. In particular, he conjectured that for the Hermitian symmetric spaces, the phase of an oscillatory integral defining a quantum product at the level of symbols should be equal to the area of a so-called "double triangle." The symplectic symmetric spaces constitute the natural framework for this conjecture. I will give an introduction to these spaces and present some structural tools allowing to narrow down the domain of validity of the conjecture, and to build new examples generalizing the flat Moyal-Weyl product and the solvable examples of Pierre Bieliavsky.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:20pm