If I add a listener to KeyboardEvent.KEY_DOWN, I can find out the keyCode and the charCode.
The keyCode maps to a different character depending on the keyboard.
The charCode is just as useless, according to the help:
The character code values are English keyboard values. For example, if you press Shift+3, charCode is # on a Japanese keyboard, just as it is on an English keyboard.
So, how can I find out which character the user pressed?
You left out a pretty important part of the quote or it was missing where you found it:
This is probably more helpful:
Your application determines what characters set is used, meaning that the even if you have to use separate keys of different keyboard locals to produce the same character, it will have the same charCode.