HICODY

This project has received funding from the European Union’s Horizon Europe research and innovation Framework Program under the Marie Skłodowska-Curie grant agreement No 101064402.

Goal of the MSCA-PF

The goal of MSCA Postdoctoral Fellowships is to enhance the creative and innovative potential of researchers holding a PhD and who wish to acquire new skills through advanced training, international, interdisciplinary and inter-sectoral mobility. MSCA Postdoctoral Fellowships are open to excellent researchers of any nationality. Through the implementation of an original and personalised research project, MSCA Postdoctoral Fellowships aim to foster excellence through training and mobility and to equip researchers with new skills and competences in order to identify solutions to current and future challenges. Postdoctoral researchers are encouraged to reach out to society at large to make the results of their research visible to citizens.

For more information, please visit MSCA’s website.

Objective of HICODY

The mathematical analysis of collective dynamics has experienced a prominent growth in the last years leading to new frontiers with cutting-edge fields in physics, biology and social sciences (e.g. complex networks, active matter or crowd dynamics). The deep breakthrough is that unveiling self-organization in a large group of agents can be tackled using strong mathematical methods from nonlinear and nonlocal PDEs, like harmonic analysis, energy methods, optimal transport and fluid mechanics. HICODY aims to go beyond the classical restrictive case of pairwise interactions. Indeed, recent advances in neural networks suggest that higher-order interactions are often needed to properly shape collective dynamics. Classical techniques break down in this setting, thus requiring innovative methods. This is the main goal of this project, which encompasses both analytical and computational strategies to obtain novel qualitative and quantitative results on multi-agent systems govened by higher-order interactions. The project will be developed at the Applied Mathematics Deppartment of the University of Granada.