[This report and the two following it contain SPOILERS concerning the next book. While these are relatively benign, skip over them if you're extremely squeamish about spoilers.]
The 4th Book will be A Feast For Crows, and will cover what would have been the five year gap. Some POV's -- who George said will be "learning" during the five year gap -- will have only one or two chapters.
The first of the new POV's is -- Cersei! A great chapter where she is awoken and informed of Tywin's death. It's obvious from her POV that Tyrion terrifies her -- and that's even before she learns of Tywin's death. She asks Jaime to take over as Hand, and he refuses. It's pretty clear that their relationship has changed in his eyes. Cersei decides to name Kevan Hand, thinking he'll be easy to control. Others will have more detail, but that's the essence of it.
The second Chapter he read was Tyrion's. It covers Tyrion's sea trip to Pentos, where he ends up at Illyrio's compound. Good stuff, but the end of that chapter was where a bunch of stuff came together. Without going into the detail, it amounts to Illyrio offering Tyrion Casterly Rock if he will throw in with Danys. And of course, we didn't get to hear Tyrion's response.
The identity of the other new POV is something he's keeping a secret for now, but he did say its a character with a story to tell that really can't wait. My money is on the Hound.