To show someone up in an argument using superior intellect.
Ex: Booya, you've been Berkeleyed.
Alternate usage (tonality is exasperated): To enter into a completely pointless argument that only uber-nerds would enjoy, but feeling obligated to compete to prove the other person wrong. Usually a result of someone trying to employ the primary definition.
Ex: "Wait, why is this guy trying to tell me about relativity theory?"
"Sigh, dude you've been Berkeleyed."