This webpage was created when we were studying Abelian Varieties over finite fields at Indian Institute of Science, Bengaluru under the supervision of Professor Shaunak Deo.
These reading seminars were a continuation to our participation in Preliminary AWS 2023.
We use this as a repository for future reference. We outline the lectures (content covered) and the resources used for preparing those lectures. If possible we also provide lecture notes.
References:
- [Mil1] Milne, Abelian Varieties. Find here
- [Mil2] Milne, Abelian Varieties in Arithmetic Geometry (edited by Cornell, Silverman)
- [EGM] Edixhoven, van der Geer, Moonen, Abelian Varieties. Find here
- [Mum] Mumford, Abelian Varieties
- [LB] Lange, Birkenhake, Complex Abelian Varieties
- [Sil] Silverman, Arithmetic of Elliptic Curves
- [AWS] Lassina Dembele’s lecture notes. Find here
Schedule:
| Serial | Speaker | Topics Covered | Reference(s) used |
|---|---|---|---|
| 1 | Sudarshan | notes used | |
| 2 | Sudarshan | ||
| 3 | Irish | Endomorphism ring of abelian variety, Poincare reducibility theorem, Tate module, Weil pairing | [AWS] chapter 5, [Sil] chapter 3 |
| 4 | Irish | ||
| 5 | Sudarshan |