The Hitchin system, discovered in 1987, is a moduli space arising from the geometric study of the Yang-Mills equations on Riemann surfaces. Over the past 30 years it has become both a unifying structure and an important tool for probing many questions at the interface of complex algebraic geometry, representation theory, and integrable systems. A strong case can be made for the claim that all roads lead to the Hitchin system, at least so far as these subjects are concerned. I intend to demonstrate this from several points of view, including that of hyperpolygons, whose Hitchin system-like properties were recently explored by J. Fisher and myself.


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.