As far as a description of the organization, I would like it to be a place where topics related to Roman history can be discussed, or possible essays could be written on topics of Roman history. Roman history stretching from the regal period through the fall of the Roman Empire. When that occurred is subject to debate due to the survival of the Eastern Roman Empire through the Middle Ages. In the West, civilization more or less collapsed in the fifth century throughout many parts of what was the Roman Empire.
History is a broad topic. Roman historians generally covered political and military history, but modern historians also cover topics such as social history or cultural history, which may be covered by other collegia. Discussing these topics in a historical context should be encouraged. Besides ancient Rome, I think it might be appropriate to discuss the history of this organization. I realize it was just founded this year. One could also include information on the reconstructionist movement in general.
So I think the goal of the organization should be to study these topics, discuss them, and to write essays describing what everyone is learning. I believe that when you are studying these topics on your own, that is a great thing, but when you discuss it with others, who might have come to slightly different conclusions than you, or have focused on other aspects of Roman history, there is a potential for great discussions. I enjoy studying the last century of the Roman Republic because there is so much literature from that period.