I want to use Core Data on the iPhone. Do you know great tutorials, videos and ressources for learning Core Data in depth?
As a person who always starts with official docs before anything else: Apple's Core Data Programming Guide has a quick start tutorial on Core Data for the iPhone. It's very, very basic but covers things like managed object models, the managed object context and how to perform CRUD on some geolocation data and display it in a table view. You might want to check it out, then read the other resources that the Programming Guide links to.
Scott Stevenson wrote some very good articles on it, although they are quite old now, and a lot of changes have happened in Xcode since they were published, but the ideas remain the same.
He covers the basics here: Core data basics He builds an app with it here: Build a core data app
He has recently written a book, although it doesn't specifically cover core data, it is quite good. Cocoa book
In addition to the documentation, I highly recommend Marcus Zarra's Core Data book.
I also provide a thorough walkthrough of Core Data as part of the iPhone development class I taught last semester, for which the videos can be found for free on iTunes U.