An introduction to p-adic period domains

Speaker：

Heng Du（YMSC）

Time：

Tues. & Wed., 9:50-11:25 am

Oct. 8-Dec. 31, 2024 (excluding Nov. 12-13)

Venue：

C546, Shuangqing Complex Building

Description:

Period domains are open subsets of generalized flag varieties that parametrize Hodge structures. The study of analogous objects in the p-adic context has a rich history, rooted in a question posed by Grothendieck, and has seen notable progress in recent years due to some new insights into the nature of p-adic Hodge structures. This course will try to provide an introduction to the general theory of p-adic period domains as defined by Rapoport and Zink, which can be viewed as a natural generalization of the Drinfeld upper half-spaces.