Explore a 49-minute seminar on spectral geometry focusing on the maximization of Neumann eigenvalues under diameter constraint. Delivered by Marco Michetti at the Centre de recherches mathématiques (CRM), this talk delves into advanced mathematical concepts and their applications. Gain insights into the intricate relationship between geometry and eigenvalues, and understand the constraints and optimization techniques involved in this specialized field of study. Suitable for mathematicians, researchers, and advanced students interested in spectral theory and geometric analysis.