We discuss the role of diflterential equations in Lie group representation theory.We use Kashiwara's pentagon as a reference frame for the real representation theory and then report on some work arising from its p...We discuss the role of diflterential equations in Lie group representation theory.We use Kashiwara's pentagon as a reference frame for the real representation theory and then report on some work arising from its p-adic analogue by Emerton,Kisin,Patel,Huyghe,Schmidt,Strauch using Berthelofs theory of arithmetic D-modules and Schneider-Stuhler theory of sheaves on buildings.展开更多
文摘We discuss the role of diflterential equations in Lie group representation theory.We use Kashiwara's pentagon as a reference frame for the real representation theory and then report on some work arising from its p-adic analogue by Emerton,Kisin,Patel,Huyghe,Schmidt,Strauch using Berthelofs theory of arithmetic D-modules and Schneider-Stuhler theory of sheaves on buildings.