More Information: Connected to the remote computer ("whatever") using the specified process ("Web Management Service"), but could not verify the server's certificate. If you trust the server, connect again and allow untrusted certificates. Learn more at: http://go.microsoft.com/fwlink/?LinkId=221672#ERROR_CERTIFICATE_VALIDATION_FAILED.

A possible fix for this problem:

1. Go into that goofy "Properties" folder that Visual Studio made for your startup project upon compilation and then into the "PublishProfiles" folder inside that.
2. Open the applicable .pubxml file for the profile that can't publish.
3. Set the "AllowUntrustedCertificate" value to True and save the file.