What is a brokered convention? It is one in which no candidate arrives with a majority of the delegates pledged to him. I am actually old enough to remember when the voting at a convention mattered, when more than one round of ballots would occur.
If no candidate has a majority of the delegates, it is possible for a wild-card candidate to be proposed and nominated. People are talking about Chris Christie, Jeb Bush, Mitch Daniels, Paul Ryan, yada, yada. I expect the odds of this happening are vanishingly small, though greater than zero.