[hkopp]

I have studied math and was in some lectures about category theory. I still don't get what the project is about and that fact intrigues me.

[Loq]

It's just a theorem prover.

Like every theorem prover it has a logic that you use for stating propositions, and proving theorem. The logic is a specific logic that is closely related to HoTT.

[qsort]

I majored in CS and followed two graduate level courses on category theory. If it's any consolation I have no idea either.