After a decades-long standoff, Armenia and Azerbaijan may be making diplomatic progress toward resolving their bitter dispute over the breakaway territory of Nagorno-Karabakh. Both countries claim the semi-autonomous region, which lies along the southern half of their shared border, but since the end of a six-year war over the territory in 1994, Armenia has exercised control there and in seven adjacent regions also wrested from Azerbaijani rule. For 15 years, Russian support for Armenia has kept Azerbaijan from mounting another viable challenge to retake Nagorno-Karabakh. However, Russia's increasingly fragile position amid its standoff with the West and Azerbaijan's ability to leverage this change may soon prompt deals on several of the regions adjacent to Nagorno-Karabakh....