数论与表示论讨论班:高辉 Integral Sen theory and integral Hodge filtration



时间:11月20日,周三,16:15-17:15
地点:东7报告厅
标题: Integral Sen theory and integral Hodge filtration
报告人:高辉 (南方科技大学)
摘要:Using the Breuil--Kisin module attached to an integral crystalline representation, one can define an integral Hodge filtration whose behavior is closely related to arithmetic and geometry of the representation. In this talk, we discuss vanishing and torsion bound on graded pieces of this filtration, using a filtered integral Sen theory as key tool. This is joint work with Tong Liu.