Topics in Algebraic Geometry: Around p-divisible groups, Spring 2010

Course Information

• When/Where:
  Tue, 9:00 - 10:15AM/Freshmen Building 501
  Thu, 2:30 - 3:45PM/Freshmen Building 505
• Office Hours: By appointments


• References:
• Serre, Groupes p-divisibles (d'après J. Tate)
(Available in Exposés de Séminaires 1950-1999 here.)
• Tate, p-divisible groups


• Grading:
  • Homework assignments
  • Presentations

Contents

1. Finite flat group schemes
2. p-divisible groups
3. Formal groups
4. The Hodge-Tate decomposition
5. Extending a homomorphism
6. Computation of some Galois cohomology groups
7. [洪斌哲] Some consequence from local class field theory
8. [江謝良州] A result of Deligne (ref)
9. [蘇哲聖] A theorem of Oort-Tate (ref)
10. [楊策仲] The Dieudonné functor

Links

    C-L.Chai's notes on Cartier theory

    Some useful notes available in B.Conrad's webpage

    M-L.Hsieh's course notes on algebraic number theory

    Lecture notes of R.Pink on finite group schemes

Last updated on 2010.5.20.