Conn. Gen. Stat. § 51-6a: Chief Justice or Chief Court Administrator may meet with judges of any court.

(a) The Chief Justice or the Chief Court Administrator may meet with the judges of any court at any meeting of such judges to consider matters relating to the operation of the court and may call a special meeting of the judges of any court at a designated time and place to consider such matters.

(b) The Chief Justice may, in his discretion, preside at any meeting which he attends.