SYRIA UPDATE: The big news this past week was fighting between the Kurds and Assad in the predominantly Kurdish city of Hasakah, where the regime controls a number of neighborhoods. Relations between the two groups had been good, so this is a bit of a surprise. Discussions to end the fighting are ongoing, but it doesn't look as though a ceasefire has been reached.
In Manbij, which was recently captured by the Kurds from ISIS, the main Kurdish military force (the YPG) has pulled out, and turned control of the city over to a local council. This is in keeping with the Kurdish principal of self-determination, and (in an astonishing coincidence) comes after a Turkish statement that the Kurds need to get out of Manbij pronto. The YPG is continuing operations to expel ISIS from the countryside around the city.
Turkey wanted the YPG out of Manbij because anti-Kurdish sentiment is running extremely high, with Turkey carrying out a devastating series of military operations against majority-Kurdish parts of Turkey. They seem to tacitly accept that the Kurds in Syria are going to link up their holdings, creating a solid line of Kurds all along the southern border, but the Turks are playing this down by saying that some parts of the border (now including Manbij) are actually held by Arab groups who just happen to be allied to the Kurds. There are also some non-aligned Arabs and Turks who control parts of the border, and there are rumors that a group of these non-Kurdish rebels may be preparing to attack Jarabulus (one of ISIS's two remaining towns on the Turkish border) from Turkish soil. Another group of rebels briefly captured the other town, al-Rai, but it was recaptured. It looks like the current game plan is to have the border itself in the Manbij area controlled by pro-Turkish rebels, with the area south of it controlled by the Kurds and their allies.
The situation in Aleppo is still pretty much the same, with intense fighting around the recently established southern supply route. Hezbollah seems to be devoting a lot of resources to the fight, and the supply route is still too dangerous to properly feed 300,000 people.
In Damascus, the regime is continuing to slowly erode the remaining rebel-held areas.
In Iraq, the central government is pissed off because the Kurds captured some vaguely Kurdish villages last week. The Kurdish response was that the central government could go screw itself. I'm still not sure what their plans for the region are.