multiscale Stochastics, Patterns, and Analysis of Combinatorial Environments

The kickoff meeting of our Action took place from March 16 to March 19 at Bocconi University in Milan. Hosted by the Bocconi Institute for Data Science and Analytics (BIDSA), the event gathered around fifty Action members for four intensive and stimulating days, providing a valuable opportunity to get to know each other and exchange ideas. Each day was structured around one of the working groups (WGs), beginning with a roadmap of themes and objectives presented by the WG leaders. Each day the program featured four to five targeted research talks – with a strong emphasis on junior scientists – alongside two engaging plenary lectures delivered by renowned mathematicians. These lectures covered

• linear and nonlinear waves on metric graphs (WG1);
• spectral geometry of manifolds and polytopes (WG2);
• parabolic equations via nonlinear semigroup method and gradient flows structure (WG3);
• tessellation and stochastic modeling of microstructures (WG4).

Complementing the lectures, a poster session and an open problem session offered the chance to discuss the latest findings of our Action members. During the open problem session, participants presented stimulating challenges that we look forward to addressing in the coming years. Beyond the technical program, participants also had the chance to the fresh yet sunny weather of Milan, discussing new ideas and possible future collaborations in a vibrant environment. We also shared a memorable social dinner by the Navigli canals. We are confident that in four years, we will look back on this meeting in Milan as the starting point of outstanding research and fruitful collaborations.

The meeting was organized by Hugo Lavenant together with Katie Gittins and Delio Mugnolo.