Euclidean reflection groups, also known as affine Coxeter groups, are discrete groups of isometries of Euclidean space generated by reflections in the faces of a simplex. They induce tessellations of Euclidean space by copies of this simplex. These tessellations are in turn the apartments of Euclidean buildings. Such buildings provide a nice geometry associated to certain algebraic groups over local fields. A retraction of the building is a well-behaved map from the building on to a single apartment. We will give some instances where retractions of buildings are used to study these groups, including recent joint work with Elizabeth Milicevic, Yusra Naqvi and Petra Schwer.

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.


Parnell #7