The Ellipse Building Loading view. There were no results found. There were no results found. The Ellipse Building Events Venues The Ellipse Building 4350 Fairfax Drive Arlington, VA 22203 United States Get Directions Events at this venue Today Upcoming Upcoming Select date. Previous Events Today Next Events Subscribe to calendar Google Calendar iCalendar Outlook 365 Outlook Live Export .ics file Export Outlook .ics file