Lucas: Non-Conference Basketball Schedule Reactions Posted Jul 21, 2017 North Carolina's 2017-18 nonconference basketball schedule is stocked with big-name opponents—almost all of which are part of a variety of made-for-television events at neutral sites. The headliner is the PK80 tournament in Portland the week of Thanksgiving, where the Tar Heels could face a variety of formidable opposition over the course of four days. (GoHeels.com)