Group by room and detailed view in timetable management, with drag and drop room changes

Is your feature request related to a problem? Please describe.
For my types of conferences, the detailed view grouped by room is the most readable way to see the schedule. Right now I need to switch back and forth between display view and management view in order to allocate sessions to rooms.

Describe the solution you'd like
I'd like to have the same benefits in the management view (grouped layout, detailed view, maybe all days view), so I don't need to switch back and forth. The cherry on top would be that in grouped by room view, I can drag contributions between columns to change their room assignment.

I'm realizing this might be more than one request in the issue, but they depend on each other, so we can certainly create a follow-up request if something doesn't fit into the scope of this issue.

Describe alternatives you've considered
It is not impossible to do scheduling today, but it requires having 2-3 tabs open, often reloading the display schedule view, and a lot of opening detail pages.

The issue does not name files, tests, or an entry point. First clarify whether grouped, detailed, and all-days management views plus drag-and-drop room reassignment are in scope; define completion criteria for the agreed subset.