Prismatic Dieudonné theory
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.
Lecturer
Date
19th September ~ 19th December, 2023
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday,Thursday | 09:50 - 11:25 | A3-1a-204 | ZOOM 05 | 293 812 9202 | BIMSA |
Prerequisite
Algebraic geometry (Graduate level)
Reference
"Prismatic Dieudonné Theory" by Anschütz and Le Bras, Forum Math. Pi
Audience
Graduate
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
Yong Suk Moon joined BIMSA in 2022 fall as an assistant professor. His research area is number theory and arithmetic geometry. More specifically, his current research focuses on p-adic Hodge theory, Fontaine-Mazur conjecture, and p-adic Langlands program. He completed his Ph.D at Harvard University in 2016, and was a Golomb visiting assistant professor at Purdue University (2016-19) and a postdoctoral researcher at University of Arizona (2019 - 22).