Conjugation in Affine Coxeter Groups and Beyond

by Petra Schwer (Universität Heidelberg)

Monday Jun 8, 2026, 4:00 PM → 5:15 PM Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Conjugacy classes in rank n affine Coxeter groups have a beautiful and simple geometric description in terms of their natural action on (n-1)-dimensional vector spaces. Moreover, one can locate the conjugating elements and centralizers in the vector space as well. These results allow to characterize the growth of the conjugator length function by geometric investigations.