Wenhan Dai

On p-divisible Groups

The purpose of this weekly seminar is to study the basics of p-divisible groups. All talks will be givenby participants, and each meeting will be about 110 minutes, with a ten minutes break in the middle.

Organizer: Yiwen Ding.
Time: 10:00–12:00 Tuesdays (the first talk is specially on February 22).
Venue: BICMR 77201.

Syllabus (tentative)

Part A

(2/22) Liang Xiao: Introduction. (Special time on Wednesday 10-12am)
(2/28) Deding Yang: Finite flat group schemes, I, [Pink, §1–16].
(3/7) Ruiqi Bai: Finite flat group schemes, II, [Pink, §17-22].
(3/14) Yiwen Ding: Finite flat group schemes, III, [Pink, §23-28].
(3/21) Jiahong Yu: Brinon’s notes §1 [Brinon].
(3/28) Jiahong Yu: Overflow.
(4/4) Haocheng Fan: Brinon’s notes §2 [Brinon].
(4/11) Yu Xiao: Brinon’s notes §3 [Brinon].
(4/18) Zekun Chen: Brinon’s notes §4 [Brinon].

Part B

(4/25) Liang Xiao: Introduction and organization.
(5/2) No seminar on national holidays.
(5/9) Jiachen Chen: Lubin–Tate spaces I, following [Ansc, §2.1–2.3]
(5/16) Shun Yin: Lubin–Tate spaces II, following [Ansc, §2.4–2.6]
(5/23) Xingzhu Fang: Gross–Hopkins period morphism I, [Ansc, §5.1].
(5/30) Haoda Li: Gross–Hopkins period morphism II, [Ansc, §5.2].

Part C

(6/13) Yiwen Ding: Moduli of p-divisible groups I, [SW, §2-3].
(6/20) Yiwen Ding: Moduli of p-divisible groups II, [SW, §2-3].
(6/27) Jiahong Yu: Moduli of p-divisible groups III, [SW, §4].
(7/4) Tian Qiu: Moduli of p-divisible groups III, [SW, §5].
(Postponed) Daming Zhou: Moduli of p-divisible groups IV, [SW, §6].
(Postponed) Wenhan Dai: Moduli of p-divisible groups V, [SW, §7].

References

[Ansc] J. Anschütz, Lecture notes on Lubin–Tate spaces.
[Brinon] O. Brinon, Théorie de Grothendieck–Messing, Théorèm de Serre–Tate et classification de Kisin. Not in public but available here.
[Pink] Richard Pink, Lecture notes on finite group schemes, available here.
[SW] P. Scholze and J. Weintein, Moduli of p-divisible groups.