The Hot Spots Conjecture is False - How False is It?

Watch this 22-minute conference talk exploring the Hot Spots conjecture and examining the extent of its falsity. Discover insights into this significant mathematical problem through the research presented by Jaume de Dios Pont from ETH-ZENTRUM at the Fourier Analysis & Beyond workshop. Learn about the conjecture's failure and gain understanding of how mathematical conjectures can be proven false while exploring the degree of their inaccuracy. Explore the intersection of Fourier analysis with other mathematical areas through this contributed presentation delivered at IMPA (Instituto de Matemática Pura e Aplicada) in Rio de Janeiro as part of a workshop designed to present young researchers to topics at the interface of Fourier analysis and stimulate new research directions.