Evan brought up that he'd like to dock several Conpherences into the sidebar. Thinking about the problem, my proposal is to add "Pinned Conpherences" to the UI. These should be optional, and limited (I think I have space for 8, but the design still needs some polish).
If you have no Pinned Conpherences, the sidebar conversation goes all the way up.
If you have some Pinned, they show up in order. An additional icon should show prompting you to add more. It goes away at 8.
Pinned get sorted in full Conpherence. The edit pencil launches a dialog allowing you to re-order or remove pins.
Pinning in full Conpherence could occur here.