Was there a Trojan war?

From Archaeology, the director of the excavations at Troy sums up:

According to the archaeological and historical findings of the past decade especially, it is now more likely than not that there were several armed conflicts in and around Troy at the end of the Late Bronze Age. At present we do not know whether all or some of these conflicts were distilled in later memory into the “Trojan War” or whether among them there was an especially memorable, single “Trojan War.” However, everything currently suggests that Homer should be taken seriously, that his story of a military conflict between Greeks and the inhabitants of Troy is based on a memory of historical events–whatever these may have been. If someone came up to me at the excavation one day and expressed his or her belief that the Trojan War did indeed happen here, my response as an archaeologist working at Troy would be: Why not?