BeyondTheEdge researcher Pietro De Lellis is co-organizing an event on the mathematical structure of hypergraphs, in which links can occur between more than two nodes at the same time. The resulting networks can thus naturally represent many-body interactions, allowing one to describe systems with a much higher degree of precision. This shift of paradigm has stimulated a new movement of interdisciplinary research, that uses a synergy of graph theory, dynamical systems theory, control theory and numerous further disciplines in mathematical and statistical physics, which has already led to unexpected results in a broad range of areas.
The event will consist of a school followed by a workshop. The school will introduce students and researchers to the tools needed to study networks beyond pairwise interactions, to model and analyse their structures as well as the dynamics and the processes that they support. The workshop will host an interdisciplinary mix of the world's leading researchers in the field of higher-order networks. Its principal aims will be to catalyse the development of analytical results and numerical methods and to create connections between those results and relevant real-world applications. To this aim, the speakers will include researchers who focus on fundamental issues and methods, as well as scientists with more applicative interests. Thus, the event will bring together top scientists with diverse backgrounds, creating a environment that will promote the fruitful exchange of ideas and foster new collaborations. The invited talks will be complemented by contributed presentations from other researchers, including graduate students and postdoctoral fellows.