Note:

1.The lectures on Nov. 12 and Nov. 13 will be canceled.

2. The venue will be changed to Lecture Hall C548, Shuangqing Complex Building A from Oct. 22, 2024.

3. The classes originally scheduled for October 30 and November 6, 2024, have been rescheduled to January 7 and 8, 2025.

4. The class originally scheduled for December 4 has been rescheduled to January 9 2025.

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.

Prerequisite:

Having a basic understanding of algebraic geometry and number theory concepts is essential. Knowledge of p-adic Hodge theory and algebraic groups would be helpful, though only basic concepts are required, which will be reviewed during the course.

Reference:

1. Period domains over finite and p-adic fields (J.-F. Dat, S. Orlik, M. Rapoport)

2. Period spaces for p-divisible groups (M. Rapoport, T. Zink)

Target Audience: Undergraduate students, Graduate students 

Teaching Language: English

Registration: https://www.wjx.top/vm/wFISFLF.aspx#