北京雁栖湖应用数学研究院

Finite locally free group schemes and p-divisible groups are fundamental objects in arithmetic geometry, and classifying them by semilinear algebraic structures has seen wide-ranging applications. In this course, we will study a recent result by Anschütz and Le Bras on classifying p-divisible groups over quasisyntomic rings via certain prismatic Dieudonné crystals. We plan to begin the course by introducing finite flat group schemes / p-divisible groups and surveying on some classical Dieudonné theory. Then we will introduce the prismatic site and relevant objects, and study the result of Anschütz and Le Bras.