Categorische reconstructie van algebraïsche kwantumgroepen

In recent years, the first examples of discrete quantum groups with Kazhdan's property (T) were discovered. The first goal of this PhD research project is to develop a systematic approach using geometric group theory to put these examples in a conceptual setting. This should in particular allow to construct the first examples having a single self-adjoint generator, and thus provide very interesting examples of trivalent categories. Using recent work of Vaughan Jones, this opens potential connections to the representation theory of Thompson's group.