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  • Deformation of Dirac cohomology and its application to standard modules

    发布者:文明办发布时间:2019-06-10浏览次数:131


    主讲人:Kei Yuen Chan,上海数学中心青年研究员


    时间:2019年7月30日10:10


    地点:徐汇校区西部3号楼301室


    举办单位:数理学院


    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.