And the verb recurse is used in the name as an adjective when we already have a perfectly good adjectival form of the word—recursive—that is also more immediately familiar. People who consider recurse an ugly back-formation (preferring to recur) will wince, cringe, and decry the gramatical turpitude all at once.

But enough criticism—here's an attempt at something constructive: How about "Recursity"? The .com address is unregistered, and you can pretend it's a portmanteau of recursion and university suggested by a high-dollar naming consultant.

The Recursity is a free, self-directed educational retreat ...

Hmm. Maybe a mashup with the word sabattical could work.