I've been experimenting with playing games on KGS with fast time limits (10:00 + 5x20 byo-yomi) rather than medium (25:00 + 5x30 byo-yomi). I generally prefer slower time limits, but a faster game lets me get in a game during my daughter's nap without worrying about whether she'll wake up before it's over.

I make more mistakes at a fast time limit, but it's good practice for learning to think and read more quickly. And, of course, playing a game is always better than not playing a game.
This was a position at the end of one of my recent games. I was playing white, and black quit after I finished sealing off his stones on the right side. (Unfortunately, he did not resign... just let time run out.) It's black's turn, there is no komi, and if he is able to convert the lower left corner and all of that large central moyo to territory he will certainly win the game. Where is the best place for white to reduce / invade if black makes a move around K7 to reinforce the central area? (Or is there a more important place for black to reinforce?)
$$B End of game - but where should it continue?
$$-------------------
$$|...................|
$$|.XXOO....X..XOOXXO.|
$$|X.XXO..OOXOX...XOO.|
$$|X..XO...X,XOOOOOXO.|
$$|.XXO.OOX..XOXXXOXXO|
$$|OXOOO......XXOOXO..|
$$|.OXO.........OXXO..|
$$|.XXO.........OOX...|
$$|.XO..OX......OXXX..|
$$|.XO,OX...X...OXOXXX|
$$|.OO.OX.......OXOOO.|
$$|..X.X.........OXO.O|
$$|..............OXXO.|
$$|..X..........O.XOO.|
$$|..............OOXX.|
$$|...X.....X....OXXO.|
$$|......X.....XXXOOO.|
$$|.............XOXO..|
$$|...............X...|
$$-------------------
- Click Here To Show Diagram Code
[go]$$B End of game - but where should it continue?
$$-------------------
$$|...................|
$$|.XXOO....X..XOOXXO.|
$$|X.XXO..OOXOX...XOO.|
$$|X..XO...X,XOOOOOXO.|
$$|.XXO.OOX..XOXXXOXXO|
$$|OXOOO......XXOOXO..|
$$|.OXO.........OXXO..|
$$|.XXO.........OOX...|
$$|.XO..OX......OXXX..|
$$|.XO,OX...X...OXOXXX|
$$|.OO.OX.......OXOOO.|
$$|..X.X.........OXO.O|
$$|..............OXXO.|
$$|..X..........O.XOO.|
$$|..............OOXX.|
$$|...X.....X....OXXO.|
$$|......X.....XXXOOO.|
$$|.............XOXO..|
$$|...............X...|
$$-------------------[/go]
I've run through a few of my own variations: it looks like white can win with a successful invasion on the lower left 3-3 point, and I think there is enough room for me to pull that off. But once I do that, the central moyo is much more secure and the score is close enough that I'm not confident that is the best place to begin. The central area looks to b susceptible to invasion/reduction, but I'm not quite sure where the best invasion point is. I'd be very interested to hear from any stronger players who can point out the right direction of play.