Deformation of Dirac cohomology and its application to standard modules


主讲人:Kei Yuen Chan,上海数学中心青年研究员




内容介绍:Dirac cohomology for graded Hecke algebras is introduced by  Barbasch-Ciubotaru-Trapa around 2010, as an analogue to the one for real  reductive groups. In this talk, I shall discuss how to deform the Dirac  cohomology in the setting of graded Hecke algebras. We then apply it to give a  vanishing theorem for the Dirac cohomology of standard modules. If time permits,  we also explain how to compute the Dirac cohomology of some non-unitary modules.