Objective 4: Operate the Santavator
The Santavator was powered by redirecting the flow of what I can only assume is Christmas Magic (tm) into the appropriate conduits to power the elevator. You can use bits and pieces that you pick up throughout the castle to change the direction of the Christmas Magic, and since all I needed to do was get to the second floor to access the Lecture Hall, I used what I had to create the following configuration:
Later, after obtaining more items around the castle, I was able to gain access to Santa's Workshop with the following configuration:
Later, I was able to gain full access to all of the Santavator, but you can read more about that through Objective 10: Defeat Fingerprint Sensor