When you export your Facebook Events, Facebook returns an iCalendar file, without specifying a timezone. This can cause problems if you try to import the file into something, like Google Calendar, which subsequently assumes that no timezone means the UTC timezone.
This application will generate a new iCalendar file for you, with an explicit timezone added. You will have your own, dedicated, URL, which you can pass to Google Calendar. Once you've done that, your Google Calendar will always contain any upcoming events that you have Accepted.