Our advice is that you avoid driving in the university area and downtown if at all possible as parking is both expensive and difficult to find, especially on Friday. Here are a few possibilities.
On the weekend, parking is available in some of the University of Toronto lots. There is one on St. George across from the conference venue and slightly south; there is one at Huron and Glen Morris. You can enter this one from either Glen Morris or Harbord. There is also parking on King's College Circle; enter from College Street or from the south end of Queen's Park Crescent at the southwest end. Much of the university parking is available for $5 a day on Saturday and Sunday.
You risk a ticket if you park on the street. There is metered parking on St. George Street. While there is parking on side streets, it is generally just for an hour, and there are frequent checks on the streets around the University of Toronto.
See also: University of Toronto parking services