Get your logo right side up with the utah insignia centered at the top, then create a horizontal line(select with rectangular marquee,then fill with solid color) underneath the logo, but leave some space inbetween the line and the logo because we will delete the line later.
Rotate the logo so it lines up with the balls seam.
We need to select half of the logo, distort it one way, and then do the exact same to the other side. So we need to rotate the whole ball 45 degrees clockwise.
Add a guide (View->Show->New Guide) and drag it so it lines up with the corner under the logo. Then lineup the logo so its equal on both sides of the guide.
Make sure Snap is checked(View->Show->Snap) and that snap to guides is checked(View->Show->Snap to->Guides). Select the left half of the logo from the edge of the black line to the guide.
Use the perspective tool, and move the side up until the black line is parallel with the baskeball seam. Do it for both sides.

It looks like a heart. Move the logo down so its not overlapping the seam. Line it up perfectly with the corner of the ball seam, if you don't it will look weird in-game, we could have been off a pixel or two with the guide so we might as well be more precise.
I'm sorry, I accidentally closed the damn file so there will be no more screenshots.

Let that be a lesson to save often.
Rotate it back 45 degrees counter clock wise, you'll have to crop it back to 512x512.
Test it in game, it won't be perfect, but you can use a screenshot to help you fine tune it. Try the free transform tool (ctrl-t) and drag the corners holding the ctrl button. Don't forget to delete the line under the logo.