I don't have an answer, but I am experiencing this very same issue as of yesterday.

Outlook 2010 64. Initial error is that 'the operation cannot be performed because the connection to the server is offline', and then a couple additional errors that I suspect are tied to the first. Going to Outlook.com to see what the issues may be, I'm greeted by a new format/design/feature set on the Outlook page that 'doesn't' make me think the issue is anywhere but with this Outllook.com sync.

What a PITA. I miss my Eudora every time issues creep up with this Outlook program . . . . . . . .