Seminario: "Finiteness properties for totally disconnected locally compact groups" - Ilaria Castellano
"Finiteness properties for totally disconnected locally compact groups"
Ilaria Castellano
Politecnico di Torino
Martedì 14 Ottobre 2025 - ore 10:00
Aula Buzano - Dipartimento di Scienze Matematiche
Politecnico di Torino
Abstract: In recent decades, geometric group theory has been extended to the setting of locally compact groups. However, in this broader context, many tools from the discrete theory do not apply directly, and more sophisticated techniques are required. A central theme of my research is the study of finiteness properties, such as being of type Fn, type FPn, and having finite cohomological dimension. In this talk, I will briefly introduce these finiteness properties, with particular emphasis on the class of totally disconnected locally compact groups, and explain why these properties are of interest. The goal is to outline the recent progress in this emerging area of research and to highlight the main obstacles encountered when extending results from the discrete to the topological setting.
