Aviendha - her second trip thru the columns - is this just a good possibility or can she do something to change that future? Can Rand and Mat change that future? Mat being married to Fortuone (Tuon), they should have children, hopefully, and should teach that child the proper ways of dealing with Aes Sedai and Asha'men. Tuon, being what she is, should remove all collars and let the damane go to the White tower or back to the Wise Ones or the Sea Folk. I see a different use for the a'dam. That should be used to capture and control the remaining black ajah first off, but later, used only for teaching. But doesn't Tuon need to go back to Seanchan and reclaim her homeland? Are they going to try to conquer Shara also?

If the columns are true and no possibility to change that future, then the Aiel are doomed to become the true Aiel again. The Dragon will be reborn to destroy the Seanchan and send them back across the ocean, and bind the Aiel back to him for rescuing them from the evil Seanchan invaders.