We discuss the wrapped Fukaya category W(T^*Q) for Q a closed connected manifold. Many results are established for exact Lagrangians in this category; but we include also nonexact Lagrangians, so even the construction of W(T^*Q) is not that trivial. The material of this talk will be used for my study of special Lagrangians, about which I spoke already in this seminar. But I will make this talk self-contained.