Deformation of Dirac cohomology and its application to standard modules

发布者:www.8040.com发布时间:2019-06-10浏览次数:209


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


内容先容: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.  

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