revolve about (someone or something)

1. To spin around or orbit someone or something. For centuries people assumed that the sun and moon revolved about the Earth. To think otherwise was considered heresy. The boxer revolved about his beleaguered opponent, wearing him down with a series of jabs and punches.

2. To focus one's concern or consideration solely on someone or something. It's inevitable that your lives are going to revolve about your kids, but you still need to try and maintain an identity of your own. The meeting largely revolved about rumors of potential layoffs.