# Dimitri Leemans: Groups and Polytopes

Date of publication: 1. 4. 2009

Mathematics colloquium

Četrtek, 9. 4. 2009, ob 18.15 v predavalnici 2.02 na Jadranski 21.

**Prof. dr. Dimitri Leemans**

Université Libre de Bruxelles, Belgija

9. april 2009

In this talk, we will show how to construct abstract regular polytopes starting from a group using Jacques Tits' algorithm. Then we will make the parallel between abstract regular polytopes, string C-groups and thin regular residually connected incidence geometries over a linear diagram. We will describe some experimental results obtained during the last 20 years and some theoretical results that were obtained thanks to these experiments.

The talk should be accessible to graduate and undergraduate students.