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I've heard of this many times, but I don't know anything about it.

What I do know is that it is supposed to solve the problem of the fact that the final object in the category of schemes is one-dimensional (spec Z).

So, what is the field with one element? And, what are typical geometric objects that descend to F_1?

I've heard of this many times, but I don't know anything about it.

What I do know is that it is supposed to solve the problem of the fact that the final object in the category of schemes is one-dimensional, namely $\mathop{\text{Spec}}\mathbb Z$.

So, what is the field with one element? And, what are typical geometric objects that descend to $\mathbb F_1$?