Higher Extensions between Locally Aanalytic Generalized Steinberg Representations and Total L Invariants for GLn
发布时间:2022年07月05日
浏览次数:3458
发布者: He Liu
主讲人: 钱子诚(中国科学院数学与系统科学研究院)
活动时间: 从 2022-07-08 10:00 到 11:00
场地: 北京国际数学研究中心,镜春园78号院(怀新园)77201室
In his thesis, Schraen computes various (higher) Ext groups between locally analytic generalized Steinberg representations for GL3(Qp), which leads to his definition for L invariants for GL3(Qp). We generalize Schraen’s computation to GLn and thus give a new definition for all L invariants for GLn simultaneously, using higher Ext groups and cup products between them. The main ingredient is a new combinatorial trick to compute the spectral sequence involved. If time permits, we may sketch the relation to Drinfeld space (as in Schaen’s thesis), or the relation to Breuil-Ding’s result.