## Olivetti Club

One is often introduced to cohomology in a very abstract setting. I plan to make things more concrete by thinking of differential forms on manifolds as cochains. To get the desired effect I will introduce the notions of homology and cohomology abstractly, then introduce the concept of a manifold and a differential form if our manifold is simply a subset of $\mathbb{R}^n$. Equipped with this new point of view, I hope to empower you with a new example to get your hands dirty with cohomology. No prior knowledge will be assumed.