Explore the intricate world of quantum topology in this hour-long conference talk by C. Blanchet from Université Paris-Cité. Delve into the fascinating subject of Heisenberg homologies of configurations in ribbon graffs, presented as part of the Quantum Topology Biennial (QTB) with a focus on representation theory. Gain insights into advanced mathematical concepts and their applications in the field of quantum topology from an expert in the domain.