Deformation of Dirac cohomology and its application to standard modules

發布者:文明辦發布時間:2019-06-10瀏覽次數:209


主講人:Kei Yuen Chan,上海數學中心青年研究員


時間:2019年7月30日10:10


地點:徐匯校區西部3號樓301室


舉辦單位:數理學院


內容介紹: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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