I have some background in non-commutative geometry (in particular, I am doing research in quantum groups) and I have of course heard several times about the concept of supergeometry and supergroups. Nevertheless, I do not understand the latter very deeply and the connection between non-commutative geometry and supergeometry is not entirely clear to me. Do you know some good text that would introduce supergeometry from the quantum group point of view?
Maybe slightly more concrete question: I have read on several places that the main idea of supergeometry is that one has two sets of variables – one being commutative and the other being anticommutative. Now, I suppose that supergroups are supposed to describe symmetries of such non-commutative spaces. Are supergroups special instances of quantum groups then? What I find quite confusing is that if I have a set of anticommuting variables, then I would suppose that the quantum group describing their symmetries would be something like $SL_q(n)$ or $O_q(n)$ with $q=-1$. But in the supersymmetry literature, one reads about some (ortho)symplectic stuff instead!