Presenter: Sam Weatherhog, UQ

The Levelt-Turrittin theorem states that every formal differential operator has a Jordan form. This classical theorem is of fundamental importance in the study of formal connections and their applications. We provide a simple proof of this theorem by proving that every differential polynomial over the field of formal Laurent series has a linear factorisation. This statement can be considered as a differential analogue of Puiseux's Theorem.

### About Pure mathematics seminars

We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.

Seminars are usually held on Tuesdays from 3pm to 3.50pm.

Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.

#### Information for speakers

Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.

Contact us

To volunteer to talk or to suggest a speaker, email Ole Warnaar or Ramiro Lafuente.