Okay kiddo, so first let's break down what a differential form is. A differential form is like a special kind of math function that helps us measure things like slopes, areas, and volumes.
Now, let's add in the word "equivariant". This means that our differential form is going to stay the same even if we make certain transformations or changes to the thing we are measuring.
For example, let's say we have a square and we want to measure its area. We could use a differential form that stays the same even if we rotate the square. This is called an equivariant differential form.
So basically, an equivariant differential form is a special kind of math function that stays the same even if we make transformations or changes to the thing we are measuring.