Originally posted by tkamil
Not sure if I'm missing something but how do I receive notifications when I receive an invitation or an opponent resigns?
When someone challenges you to a game, it will appear in your MyGames list, with a trash bin icon so that you can delete it if you don't want to play.
When someone resigns your MyGames list will show it as "game won".
We don't usually do personal message chitchat back and forth, the system deals with this kind of stuff correctly. Not to say you can't send or receive personal messages, either ingame or separately, but routine notifications are done automatically.
If you want a personal email whenever it's your move, you can set a request on your MySettings page, although the opponent can ignore it if he pleases.