Old Earth is much as it once was. By international agreement, the atmosphere is being gradually restored to levels of CO2 less generally toxic. Antarctica is inhabited by a complicated patchwork of utopian cities that moved out there to claim the last remaining unclaimed land on Earth.
As a result, the United Nations fails to recognize the Antarctic League, who fails to recognize them right back. For historical reasons, many of the resorts, towns, and other space stations in low Earth orbit are also members of the Antarctic League, although that is slowly changing over time.
As more and more space becomes available, prices on slots in orbit around Earth drop. Some Earth nations are taking the opportunity to buy up more and more of the orbital capacity, driving a steady continuing migration away from Earth.
Any description of Earth would hardly be complete without a mention of the Moon.
Luna is home to a variety of different polities, boasting the most sheer variety of any big round thing. Settlements are mostly built into dome cities scattered across the surface, although there is also an extensive tunnel network below the lunar regolith. Main centers of culture include the north and south poles (convenient for both the far and near sides), and the area around old Selenopolis in Mare Imbrium.
New Selenopolis is the largest non-Earth city, having earned itself the somewhat tongue-in-cheek name "the city of wonders". Some districts hold design competitions on varying schedules, continually changing their look, so you never know quite what you might find. The night-life in New Selenopolis is also beyond compare, since it's location on the moon means that evening dance parties can last 14 days.
New Selenopolis is also, while not the official capital of the Fixipelago (which does not have such a thing), home to a large number of people who work for various alliances, governments, charities, insurance companies, and other things that blur the lines between these. The business district, while calm and unchanging compared to some places in New Selenopolis, is always full.