What kind of technology would be involved in the rendering of human nails?
I'm not aware of any rendering technology designed specially for fingernails. Just eyeballing it, I would suggest that a combination of subsurface scattering with a relatively smooth glossy specular surface would get you most of the way there. In other words, you could use the same shader as you do for skin, but with different textures and different specular parameters.

I wouldn't guess that a hair shader would be too useful. Nails are not in the shape of fibers, nor do they have the kind of complex occlusion and shadowing that hair does.

That being said, if the scattering properties of the nails are different enough from that of skin, it might make sense to use a different shader (for instance, doing some sort of volumetric scattering instead of a dipole approximation). I don't know of any references on skin scattering that have investigated nails specifically, though.