The Big 12 doesn't make it very easy to find their men's tournament page. The women's swimming championships - you can read about those anytime you want, but Men's basketball, no way. Here's the link to perhaps save you a bit of time.
Here's KU's schedule.
Friday: 6:00 against either Texas A&M or KSU Saturday: 3:20 against OSU, Texas or Colorado Sunday: 2:00 against OU, Baylor, Nebraska, Iowa State or Missouri
I think we secure a two seed if we win on Friday, and I think we have a remote chance at a 1 if we win on Saturday and/or Sunday.