Speaker: Mat Langford
Affiliation: Australian National University


The parabolic analogue of Liouville’s theorem, due to Appel and Hirschman, states that every positive solution to the heat equation on $\mathbb{R}^n \times (-\infty,\infty)$ with subexponential spatial growth is constant. Motivated in part by Appel’s theorem, many recent attempts have been made to classify ancient solutions to nonlinear parabolic equations arising in geometry, such as the heat equation on manifolds, the mean curvature flow of hypersurfaces, and the Ricci flow of Riemannian metrics. We describe some of this progress, some of our own contributions (joint with many others), and some of the outstanding problems.

About Maths Colloquium

The Mathematics Colloquium is directed at students and academics working in the fields of pure and applied mathematics, and statistics. 

We aim to present expository lectures that appeal to our wide audience.

Information for speakers

Information for speakers

Maths colloquia are usually held on Mondays, from 2pm to 3pm, in various locations at St Lucia.

Presentations are 50 minutes, plus five minutes for questions and discussion.

Available facilities include:

  • computer 
  • data projector
  • chalkboard or whiteboard

To avoid technical difficulties on the day, please contact us in advance of your presentation to discuss your requirements.


Physics Annexe (06)
407 (and via Zoom: https://uqz.zoom.us/j/81688396546)