would be Ecuador. Although earthquakes are a problem.

Huh, I honestly thought there was more space elevators than that too. For some reason five was the number I'd settled on and at least on of those was in Jakarta. Possibly another at the ESA spaceport in Guiana. I certainly could be conflating space elevators with other conventional spaceports and possibly even from other works of fiction! I was so sure of this I remember wondering why Mars only has one elevator! Another downside is that it kind of kills an idea for a habitat I was toying with -the components of an elevator flung into space during The Fall called the Loose End! This site has some simulations of what would happen to an elevator when it breaks: http://gassend.net/spaceelevator/breaks/

All the core book says is that there were multiple elevators, and Sunward mentions the "mobile pacific" beanstalk, and then Kilimanjaro. However, based on the phrasing in core, I'd wager "multiple" means more than just two, so feel free to put them wherever. Indonesian and Ecuadorian ones seem feasible, maybe.

One other bit, if you're planning on using the wreckage in some way in your story, is the kind of damage they'd do depends on how they'd destroyed. Or more the point, where the cable's cut. Short version, if it's cut on the surface or relatively low atmosphere, it's going to fly out into space, and damn fast at that. You're pretty much not going to have the entire thing fall since the vast majority of the mass is pretty far out there, specifically the center of mass is going to be in geostationary orbit. Someone check my thinking, but the only parts that would fall and wrap at all would be the parts in atmosphere, and even then, atmospheric drag would have to be a bigger force enacting on them than the relative speed of a suborbital velocity (the mass also has to stand up on its own gravity at that point, like an oversized skyscraper, but the particulars will depend on how you envision the anchor point, how many cables make up the stem, the complex around it, etc.) It's basically a weighted string on a spinning basketball if that helps the visualization. The anchor station's are holding it down, not up. And the takeaway that I see is that you'd have n>1 freeflying cables and attached stations whipping around Sol-Earth Orbit somewhere, most of them in excess of 40,000 kilometers long. (most designs I've read go well past GEO for balancing) Probably accompanied by a by-now very scatted debris field courtesy of all ships and stations that were in the way during the Fall. Actually a pretty awesome setting, come to think of it.