I'm having exactly the same problem. When I try to log in using the very first screen displayed when you get into the game (same as the one shown in Konra162's screenshot), I receive the message: "The connection to the server has been lost".
I have uninstalled all anti-virus software, disable the windows firewall, re-installed the game and edited my hosts file as suggested in this thread: Anno 2070 error in game-launcher ubisoft but still no luck. I HAVE however been able to connect after installing the game on my boyfriend's PC, without having to disable or modify anything. And we are on the same network, so that seems to rule out network setup problems
Please help! This problem is popping up elsewhere too: