Dieudonne Theory - Classical Approach to Finite Group Schemes - Part 1

Learn about classical Dieudonne functor and its applications in a 2-hour seminar that explores finite group flat schemes of p-power rank and p-divisible groups. Delve into crystalline Dieudonné theory developed by Berthelot, Breen, and Messing, while examining contravariant duality theory, important definitions, and co vectors. Explore uniport groups, Dieudonne modules through various examples, and understand inverse map applications. The seminar also covers the significant contributions of de Jong and Messing to the field, providing a comprehensive overview of both theoretical foundations and practical implementations.