Graduate Student Homotopy Theory Seminar: Gabrielle Li, "Dieudonne module and the classification of formal groups"
May 4, 2023 3:00 pm
445 Altgeld Hall
- Sponsor
- Department of Mathematics
- Speaker
- Gabrielle Li
- Contact
- Samuel Hsu
- samuelh6@illinois.edu
- Views
- 19
- Title: Dieudonne module and the classification of formal groupsAbstract: A Dieudonne module is a module over the ring of Witt vectors over some field k with two endomorphisms Frobenius F and Verschiebung V that satisfy certain relations. The category of formal groups over a perfect field k is equivalent to the category of finitely generated Dieudonné module under some mild condition, so the classification of formal groups reduces to the classification of such modules. In this talk, I will introduce the construction of Dieudonné modules and compute some Dieudonné modules associated with various formal groups.