The aim of the talk is to introduce the Ishida complex, which is a nice resolution of the Kahler differentials of a smooth toric variety, and to describe some of its properties. One among many interesting consequences of the complex is a complete description of the Hodge numbers of a smooth projective toric variety. I will give a brief introduction to toric varieties and other associated objects in the talk, so while prior knowledge of toric varieties would be useful, it is certainly not necessary.