As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
EN ROUTE GREEN SYS HYD QUANTITY DECREASING, GOT GREEN HYD LOW PRESS ON ECAM. WENT THROUGH ECAM COM, SHUT-DOWN GREEN HYD SYSTEM PER COM. QUANTITY AMOUNT GRADUALLY DECREASED BELOW AMBER BOX WHEN GOT THE ECAM MESSAGE GREEN LOW PRESS. PER COM LANDING GEAR ALTERNATE EXTENDED (VERIFIED ON AMMRS) WITH UNEVENTFUL LANDING AND TOWED TO GATE.