We're currently in the information age, which is due to silicon. In a few hundred years, this time may reasonably be called the silicon age. Society has only recently transferred to the silicon age from the previous iron age. If we don't cause a total collapse of our society, then we will be in the silicon age for a few hundred more years, and that will likely include space colonization.

The space age you're referring to is likely the 60s, when space exploration was beginning. A decade or two isn't long enough to be considered an age.

the information age is easy: the silicon age!

not sure about the space age...maybe titanium age? that's about the time we figured out how to machine titanium on large scales, and for highly specialized, extreme applications (talking about the SR-71 here, mostly). could also call it the alloy age, since a number of important alloys were discovered around that time

I thought it was atomic age and information age...

Or was that just empire earth...

There's the industrial age too. Which I guess you could also call "The Age of Steam" or "The Age of Coal" or some other thing.