What is the name of ancient university in world?

There's no single "oldest university in the world" that everyone agrees on, as the definition of "university" has evolved over time. However, some of the oldest institutions that are considered to be among the earliest universities or precursors to universities include:

* University of Al Quaraouiyine (Fez, Morocco): Often cited as the oldest existing and continuously operating educational institution in the world, founded in 859 CE. Initially focused on religious studies, it later broadened its curriculum.

* Nalanda University (Nalanda, India): A renowned Buddhist monastery and centre of learning from the 5th to 12th centuries CE. While not structured exactly like modern universities, it offered advanced studies in various fields. It was destroyed in the 12th century.

* University of Bologna (Bologna, Italy): Often considered one of the oldest universities in the *continuous* operation in the Western world, with origins tracing back to the 11th century.

The "oldest" title depends on how you define "university" and what criteria you prioritize (continuous operation, breadth of curriculum, etc.). All three institutions above played significant roles in shaping higher education.