Speaker: Kentaro Inoue (Kyoto University)
Title: Log prismatic Dieudonne theory and its application to Shimura varieties

Abstract: Kato introduced the notion of log abelian varieties and log p-divisible groups, which are degenerating objects of respective objects in the framework of log geometry, and they are applied to toroidal compactifications of Shimura varieties in his joint work with Kajiwara and Nakayama. Moreover, he established log Dieudonne theory which gives an equivalence between log p-divisible groups over a log point and Dieudonne modules with monodromy operators.

In this series of talks, I discuss a generalization of log Dieudonne theory in the framework of log prismatic cohomology developed by Koshikawa-Yao, which can be regarded as a log version of prismatic Dieudonne theory established by Anschutz-Le Bras. In the first talk, I explain about preliminaries on log geometry and log p-divisible groups. In the second talk, I explain about log prismatic F-crystals and further generalization of them. In the third talk, I explain about the precise statement and the proof of log prismatic Dieudonne theory and its application to Shimura varieties.

Time：Nov 28 2:30 - 4:00 pm; Dec 2  10:00 - 11:30 am; Dec 4 10:00 - 11:30 am, 2025

Venue：A513, Shuangqing Complex Building A; Zoom Meeting ID: 687 513 9542 Passcode: YMSC