Riverrun is taken. The former castellan Blackfish Tully has escaped by swimming under a submerged portcullis. He is highly likely to cause trouble in future, so Jaime wants to find him. Jaime is letting the Tully garrison go free, because that is what he promised Edmure. Jaime's aunt Genna thinks this is a mistake and Jaime to chivalrous. Jaime thinks he can't be all that chivalrous since he won the castle by threatening to hurl Edmure's baby away with a trebuchet. But win the castle he did, and with no bloodshed, so I think he has done the right thing here. Some of the garrison want to join the Watch, seeing as they think they won't make it as hedge knights. Jaime gets Raff the Sweetling to escort those ones to Maidenpool, where presumably Lord Tarly can make sure they get ships north to the wall.
Edmure reminisces about playing with wooden blocks with Littlefinger in the Riverrun solar as a child. It must be a real bummer losing the family home like that. You can see why Emmon Frey is worried that keeping it will be difficult.
There has been some arrangement between Tywin Lannister and the Westerlings. I'm not quite sure what it is, but Jeyne's mother is in on it, and seemingly it involved abortion of Robb Stark's baby. Jeyne is still grieving for Robb and the baby, but her mother has no time for all that. She needs Jaime to help arrange a new marriage to an appropriately Lannister-friendly lord's heir. I get a vague sense that Jeyne's mother was in on the Red Wedding somehow, too. Edmure and the Westerlings are now headed for the protection of the Lannister family castle, Casterly Rock.
The drunken Ser Ryman Frey, whom Jaime booted out of the camp, has been killed by Beric's outlaws. His sons are suspicious that the outlaws knew just where to find his party and how strong it would be. It turns out that the singer from Ryman's pavillion, whom Jaime had sing the Rains of Castamere to Edmure to torment him in the previous Jaime chapter, is none other that Tom o' Sevens, friend of Lem Lemoncloak. So clearly he is the spy. He is planning to stay at Riverrun for the winter. Beric's (or is it now Catelyn's) outlaws will cause a lot more trouble yet, I think. Tom also mentions another singer, Wat, who went off to King's Landing. It was Wat who Catelyn tortured into lying about Margaery.
Jaime orders the Freys to give all the Red Wedding captives to Tommen. I suspect he sees the need to start making peace with more factions, and hostages to trade will help. Not among the captives is Jeyne's brother Reynald Westerling, who was loyal to Robb until the end and is now only presumed dead, so perhaps we will see more from him later.
Ser Dermont is out looking for Blackfish but only get trouble from wolves. Jaime wonders if Arya's direwolf is still at large.
Now that Dragonstone has fallen, Jaime expects Storm's End will next. He does not know all the ways things are looking better for Stannis now that Cersei is imprisoned. He does hope that he can somehow make things better for Tommen by getting rid of Cersei and her cronies and installing Kevan Lannister as hand. Little does he know Kevan has already been summoned.
Jaime's mother visits him in a dream. She seems to know about Cersei because she cries when Jaime says he is a knight and Cersei a queen, just as Tywin wished for. He awakes and it is snowing. This is pretty bad because everyone has been so busy with war that they have not stockpiled enough food, and now there is unlikely to be another harvest. It makes me wonder what the growing seasons are like on this planet. If the winters and summers are years long, how often are the harvests? Anyway, I don't see things going well for any but the most powerful lords when half the continent is starving. This winter is going to be grim even without monsters from beyond the wall.
Finally Jaime gets Cersei's letter begging for help. He burns it and does not answer her. It seems like he will ignore her plight. It's certainly a convenient way to get rid of her.