pastEvents

My solution:

CREATE PROCEDURE pastEvents() 
BEGIN 
  SELECT name, 
         event_date 
  FROM   Events, 
         (SELECT MAX(DATE(event_date)) AS last_date 
          FROM   Events) AS t 
  WHERE  event_date != t.last_date 
         AND DATEDIFF(t.last_date, event_date) <= 7 
  ORDER  BY event_date DESC; 
END