By Federico Lo Bianco
By Bjorn Poonen
By Calvin Tcheka
Appears in collection : Geometry in non-positive curvature and Kähler groups
After reviewing what is known about subgroups of direct products of surface groups and their significance in the story of which groups are Kähler, I shall describe a new construction that provides infinite families of finitely presented subgroups. These subgroups have varying higher-finiteness properties and are not of Stallings-Bieri type.