What is the term for a stalemate in Checkers? What are the official conditions for a "no winner game"?
According to the American Checker Federation (see rule 12), a tie game is called a draw. The conditions for a draw are similar to the 50-move rule in chess. Basically, one player asks the other to prove he can win (or get closer to winning) in the next 40 moves or the game ends in a draw. I imagine this would only really occur in high level play, perhaps by several kinged pieces moving endlessly around the board with neither side gaining an advantage.
A condition like a stalemate in chess (where a player has no legal move to make) results in a loss for the player whose turn it is to move.
There is no such term, because there is no such thing as a stalemate in checkers. It is always possible for at least one player to win, although in some cases that would require extraordinarily poor play by the other player.
EDIT to reply to comment:
I know this is really getting into semantics, but the question is about terminology. Your position seems to be that "stalemate" and "draw" are synonymous. I believe "stalemate" is merely the specific case where a player must move but cannot make a legal move, resulting in a draw. The very rule you cited states that, in checkers, if one player cannot make a legal move, the other player wins. By definition, that's not a draw, so in my mind, that's not a stalemate.