报告人: Hendrik De Bie 教授,比利时Gent大学
地 点: 管研楼1518
Talk 1: Clifford algebras, Fourier transforms and quantum mechanics
时 间: 5月24日下午 2:30-3:30
摘 要: In this talk it will be shown how one can define a generalized Fourier transform related to an operator of Dirac type, by solving a corresponding quantum system. The resulting theory encompasses many previously discovered integral transforms, such as the fractional. Fourier transform, the Dunkl transform and the radially deformed Fourier transform.
Talk 2: The correct version of the super Dirac operator
时 间: 5月25日下午 3:30-4:30
摘 要: In this talk, which will be mostly algebraic, I will introduce the super Dirac operator as a Stein-Weiss operator acting on a suitable spinor space. I will show how to obtain basic properties of this operator (such as the Fischer decomposition), and I will show that the full conformal symmetry algebra is given by a certain orthosymplectic Lie superalgebra. The main technical difficulty will lie in the construction of the spinor space, a topic that has been neglected in previous versions of the super Dirac operator. This is joint work with K. Coulembier (UGent).
主办单位: 365英国上市官网
国家数学与交叉科学中心合肥分中心
中科院吴文俊数学重点实验室
欢迎感兴趣的师生参加!