0. Introduction.

1. Abelian varieties in characteristic 0.

2. Abelian varieties in characteristic $p$.

3. Initial rings and fields

4. Lattices in functional fields

5. Anderson t-motives

6. Action of $\mathbb{F}_{q}[T]$ on $\mathbb{C}_{\infty}^{n}$ associated to an Anderson $\mathbf{t}$-motive.

7. Drinfeld modules over finite fields; reductions

8. Lattices of Drinfeld modules

9. Lie(M).

11. $\theta$-shift.

12. Dualities and pairings.

13. The lattice functor.

14. Case $N \neq 0$.

15. L-functions.

16. Affine equations.

17. The Drinfeld "upper half plane".

99. Generalizations of Anderson t-motives.