Time：November 20, Wednesday, 16:15-17:15

Venue: Lecture Hall

Title: Integral Sen theory and integral Hodge filtration

Speaker: Hui Gao 高辉 (SUSTech)

Abstract: 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.