RIAA is asking federal court to reverse the decision to take the legal action against Aimster in Albany, NY instead of Manhattan. Decision to move the case to Albany was made because "Aimster got there first", Aimster sued RIAA in Albany asking federal court to decide that Aimster is a legal P2P service. And as RIAA countersued Aimster later, federal judge decided to bundle cases and handle both of them in Albany. RIAA also asks court to dismiss Aimster's case against RIAA because RIAA claims that it was filed purely to get ahead of RIAA in legal actions.
One would think that there's no difference where the case is fought, but obviously there seems to be. Maybe RIAA wants to handle all its cases in Manhattan where it and MPAA have already won some major cases.