Ramiro Lafuente (The University of Queensland)

In this talk we will introduce the Ricci flow evolution equation for Riemannian metrics on a smooth manifold, without assuming any previous knowledge on differential geometry. Then we will discuss recent progress on the structure and long-time behavior of the flow on manifolds which are homogeneous, explaining in particular why solutions which are defined for all positive times asymptotically approach equilibrium points of the equation, so called Ricci solitons. This is based on joint work with Christoph Böhm.


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.

Venue

Parnell Building #7
Room: 
326