Vertiefungsmodul Algebra/Zahlentheorie: Finite Group Schemes 2

Moodle: Supposedly, the course will be entirely digital. There is an electronic class room on the Moodle platform containing much more information and all the learning material. Read backward, the password needed to subscribe is

2semehcSpuorGetiniF

Prerequisites

This course is a direct follow-up of my lecture on finite group schemes last winter. I expect you to be well acquainted with the material covered then.

Content

We will finish the classification of finite group schemes over a perfect field of positive characteristic by means of Dieudonné theory. We will then pass on to p-divisible groups over complete discrete valuation rings and their associated Tate modules. In the end, I plan to outline Fontaine's construction of crystalline period rings and Grothendieck's mysterious functor.