How soon after VSG surgery is it allowable to do these things? I know I can't do core training or strength conditioning for 6-8 weeks (or longer) but I can jog and sprint, right?

Im just over a month out.....I do some light jogging. (about 20 min at a time) Not where I was prior to surgery though. I find it more because of energy level, and getting lightheaded...not because of pain. (there is no pain)

Trust your body. Listen to your Body. You know it better than anyone else.