Root systems, generalizations and applications — a lecture series by Ivan Dimitrov

May 19 and 21, 2026 (15:00–16:00 Sofia time) and June 1, 3 and 5, 2026 (16:00–17:00 Sofia time), ICMS-Sofia hosts a Consortium Distinguished Lecture Series by Ivan Dimitrov (Queen’s University, Kingston, Canada) on Root systems, generalizations and applications.

Root systems were introduced by Wilhelm Killing in 1889 as a tool for classifying Lie algebras. Since then, they have become ubiquitous, appearing in various contexts in seemingly unrelated areas of Mathematics. In this lecture series, Ivan Dimitrov introduces and studies root systems and defines a generalization of root systems. He explains how this more general structure applies to various problems, e.g. hyperplane arrangements. Finally, he introduces and studies inversion sets of roots. The exposition is mostly self-contained, assuming Linear algebra and some Group theory background.

Keywords: Root systems, Coxeter groups, Hyperplane arrangements, Inversion sets of roots.

The lectures take place in Room 403, ICMS-Sofia.