## COURSE DESCRIPTION

A nonempty subset of the following topics will be covered: Basics on group schemes, abelian varieties, p-divisible groups; CM abelian varieties; Dieudonne theory (classification of p-divisible groups in char p up to isogeny); Honda-Tate theory (classification of abelian varieties in char p up to isogeny); Serre-Tate theorem/theory on deformations of p-divisible groups and abelian varieties; Grothendieck-Messing theory on deformations of p-divisible groups; Galois representations associated with abelian varieties; Moduli spaces of abelian varieties

**Prerequisites:** good background in algebra, number theory and scheme theory

**Text Book:** There is no official textbook but see the growing references on this website.

## RECENT UPDATE

**[08.31.2012]** A tentative course website has been created.

**[09.08.2012]** The website has been updated.

**[09.18.2012]** A link to the typed notes by Holden Lee was created on Schedule page.
Problem Sets page was converted to Remarks page.