Conjugacy geodesics and growth in dihedral Artin groups

by Gemma Crowe (University of Manchester)

Monday 2 Feb 2026, 14:00 → 15:00 Europe/Brussels

B/2nd floor-B.203 - Seminar room (Marc de Hemptinne (chemin du Cyclotron, 2, Louvain-la-Neuve))

Like standard growth of (finitely generated) groups, one can define conjugacy growth of groups which, informally, counts the number of conjugacy classes in a ball of radius n in a Cayley graph. This was first studied by Riven for free groups, and techniques from geometry, combinatorics and formal language theory have proven to be useful for determining information about the conjugacy growth series for a variety of groups. In this talk we will survey these techniques and, in joint work with Laura Ciobanu, determine the conjugacy growth for dihedral Artin groups.