Mathematisches Institut der Universität Bonn

Moduli spaces of p-divisible groups - Summer Term 2018

Lecturer:
Dr. Andreas Mihatsch
Endenicher Allee 60 · Zimmer 4.024
Tel.: 0228-73-62369
E-mail: mihatsch (add @math.uni-bonn.de)

Time and Place

Monday, 10-12h, N0.003
First Lecture: Monday 09.04.2018.

Content of the course

In the first part of the course, we will recall parts of the theory of p-divisible groups. Topics to be covered are finite locally free group schemes, p-divisible groups, Witt vectors and Dieudonné theory. In the second part, we will construct moduli spaces of p-divisible groups of EL- and PEL-type following the book of Rapoport and Zink and study some examples of such spaces.

Literature

• M. Demazure: Lectures on p-divisible groups, 1972, Springer LNM 302.
• A. Grothendieck: Groupes de Barsotti-Tate et cristaux de Dieudonné, 1974, Les Presses De L'Université De Montréal.
• W. Messing: The crystals associated to Barsotti-Tate Groups, 1972, Springer LNM 264.
• M. Rapoport, T. Zink: Period spaces for p-divisible groups, 1996, Princeton University Press.

Accreditation/Exams

This course is categorized as V5A4. There will be oral exams towards the end of the semester.