A technical institution in California. Like most American technical institutes it is known for a socially inept student body, disproportionate number of geeks, and an inculcated belief in superiority over the other institutes (e.g. Georgia Tech, MIT, etc). It does have better weather than MIT.
Socially Inept Geek 1: I go to Caltech. Want to solve some PDEs together?
Socially Inept Geek 2: Yeah! I love solving PDEs! Oh wait... I go to MIT. Yeah, I am going to have to attempt murder you.