Monday 26 January 2026
15:00–16:30*

Michael Cuntz (Leibniz-Universität Hannover) — Generalized root systems

Dimitrov and Fioresi introduced an object that they call a generalized root system. This is a finite set of vectors in a euclidean space satisfying certain compatibilities between angles and sums and differences of elements. They conjecture that every generalized root system is equivalent to one associated to a restriction of a Weyl arrangement. In this talk we prove the conjecture and provide a complete classification of generalized root systems up to equivalence. This is joint work with Bernhard Mühlherr.

* Eastern European Time, i.e. UTC+2 in winter and UTC+3 in summer.