I am doing a study that focuses on endgames which involve well-timed king marches, namely endgames in which the winning idea lies mainly in king positioning rather than the coordination of minor pieces for example (although this is a key idea in almost every endgame). As soon as I started stumbling upon this very specific type of endgames, I remembered a famous game from Magnus Carlsen, in which he marches with the king for a consecutive series of move (about 5-7 moves), diagonally to the other side of the board, establishing a key position for his king as soon as possible and winning the endgame. Unfortunately I cannot recall which game it was, nor the time/opposition, if I'm not mistaken there were no rooks left on the board.
I admit this is very little information given to find the game, but that's all I could remember for now. Although he tends to play a lot of endgames because of his style, I do recall that game getting famous because of its fearless long king march. Here I am asking about it, in the hope that someone else may remember this game, or provide any additional information about it.
In any case, if you know of similar endgame plays, please do feel free to post about them here, as a comment or answer, as they are relevant to the study at hand anyway.