BOGOTA, Colombia — Key developments in the half-century of hostilities between Colombia’s government and the country’s largest rebel movement, which have announced a peace agreement: —May 1964: Rebel leader Manuel Marulanda, alias “Tirofijo,” founds Revolutionary Armed Forces of Colombia, known as FARC. —Aug. 7, 1982: Government of President Belisario Betancur starts peace negotiations with FARC.