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： 0029cc金沙贵宾会
         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
 
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