Number Theory Seminar

Seminar information archive ~10/06Next seminarFuture seminars 10/07~

Date, time & place Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Naoki Imai, Shane Kelly

2024/10/02

17:00-18:00   Room #117 (Graduate School of Math. Sci. Bldg.)
Hui Gao (Southern University of Science and Technology)
Filtered integral Sen theory (English)
[ 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.