Technology will advance. Neo-liberal state-capitalism will tighten its grip over the developing world and the trend of ever-more authoritarian governments will continue in the developed world.
The best thing our amazing new technology will be used to do is make Britney Spears look perennially-young, because our culture will be just as unable to deal with aging and death as before.
We'll ignore the problems caused by our unsustainable society.
Society will collapse because we couldn't get our shit together in time to prepare for or prevent catastrophic warming.
We'll be reduced to hunter-gatherer societies hunting deer in the ruins of New York City telling our granchildren improbable tales of how we used to fly in the sky and talk to one another over incredible distances.
The last bastions of society will be hippies who switched off-the-grid in time and moved into the hills, and run little sustenance agricultural operations... as well as other kinds of horticulture.