On the Measure of the Branch Set of Minimal Immersions

Explore advanced mathematical concepts in this conference talk examining the measure-theoretic properties of branch sets in minimal immersions, delivered by Emanuele Nunzio Spadaro at the International Conference on Branching Structures 2025. Delve into the geometric analysis of minimal surfaces and their singularities, focusing on the dimensional characteristics and measurability of branch points where the immersion fails to be locally injective. Gain insights into cutting-edge research in differential geometry and calculus of variations, particularly the regularity theory for minimal surfaces and the structure of their singular sets. Learn about the mathematical tools and techniques used to analyze the size and distribution of branching phenomena in minimal immersions, contributing to the broader understanding of geometric measure theory and its applications in modern mathematics.