Mike, a then 21-year-old Junior attending Duke University, explains how his band was named The Brain Trust and the meaning behind it. He starts discussing it at 1:43 – 2:19 in the video below. Check it out!
Brain Trust began as a term for a group of close advisers to a political candidate or incumbent, prized for their expertise in particular fields. The term is most associated with the group of advisers to Franklin Roosevelt during his presidential administration. More recently the use of the term has expanded to encompass any group of advisers to a decision maker, whether or not in politics. – Wikipedia