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The UX of the Drupal admin screens really falls down when browsing from mobile/touch screen device.
This issue is obviously larger in scope then just the Seven theme and a complete solution would have to fall to contrib but improving the responsiveness of the Seven theme is a good place to start.
The ultimate goal would be to have an effective 'web app' experience for Drupal administrators out of the box.
I don't know whether it's best to split this up into sub issues, I would appreaite input from someone with Seven development experience.