So, one of the CPP's annoying but genuine struggles is with its name. The prosopography element, whilst it's arguable the extent to which what I'm doing is truly prosopographical in the traditional sense, it at least uncontroversial - the trouble really comes with defining the chronological and geopolitical scope of the project, and with the difficulty of what to call that part of it. As such, I'm writing this post to work through my current reasoning & see if I get anywhere.
Georgia has pretty clear (ish) periodisation available here in terms of the development of the Georgian state. During the Macedonian dynasty's control of the Byzantine Empire, Georgia became something of a Byzantine satellite, with its leaders taking Byzantine titles, strong Byzantine religious influence, and at point during the period, direct Byzantine military intervention in the area. During the 11th century, Byzantine influence in eastern Anatolia declined rapidly, with and a collapse in the 1070s/80s following the Battle of Manzikert in 1071. Georgia, after a number of setbacks against the Turks, managed by the late 11th and early 12th century to emerge having largely dispensed with Byzantine titles and influence, as a unified state that over the following decades became the major regional power by the second half of the 12th century. It is this period, which lasted until the 1220s and the Mongol invasions, which my project covers.
The main term for the period is often the Georgian "Golden Age" - a phrase any serious historian should dismiss out of hand, it being far too loaded to be analytically sensible. The Georgian state was undoubtedly capable of very significant power projection in the later 12th century, but we should not use terminologies that automatically assume that all the impacts of this were fundamentally "good". Referring to the "Age of Tamar" is also a poor start, and risks the period and its complexities fading into the background compared to the already practically (and indeed literally) hagiographical images of Tamar's leadership.
As to other options: one of the standard possible shorthands for medieval periodisation, that of dynasty, is unavailable (the Bagrationid family having been in place well before this period started and for centuries afterwards). One could maybe refer to a "long twelfth century" as some people have done for periodising UK economic history, but I find that rather dissatisfying, not least because it presupposes a start date that covers the C12th in full whereas it's pretty arguable up until the 1120s or so. Geography doesn't help much either - Georgia is often excluded from definitions of both "North Caucasus" and "South Caucasus" whilst not being large enough to really justify "Caucasus" as a whole except perhaps for a few years in Tamar's reign (and even then it's dubious).
I'm currently thinking that "High Medieval" is my best option, but I'm still not really certain - I'm worried that this term links Georgia too much to historiographical trends in Europe which it may or may not have actually shared, and I'm not wholly comfortable with "high" and its rather non-neutral connotations. It's an improvement upon "Golden Age", but there may still be a better option - I just haven't come up with it yet!