vest (something) in (someone or something)
To grant, place, or endow something, such as power, rights, control, etc., under the authority of some specific person or group. Often used in passive constructions. Don't you think you've vested a bit too much autonomy in your supervisors? By the powers vested in me by the state of Wyoming, I grant you husband and wife! I'm vesting control over my fortune in my granddaughter, Sophia.
vest something in someone or something
to grant sole power or control over something to someone or some group. The king vested all the military power in his own hands. The constitution vests the power to tax in the legislature.
To place something, such as authority, property, or rights, in the control of someone or some group: I vested my estate in my son. The judge is very conscientious about the duties and responsibilities that are vested in her.