Cohomological Connectivity of Perturbations of Map-Germs

Watch a mathematics lecture exploring the cohomological connectivity of perturbations of map-germs, presented by Guillermo Peñafort from the University of Valencia. Delve into the analysis of holomorphic finite map-germs defined on complete intersections, examining how the reduced cohomology of a perturbation's image concentrates within specific degree ranges determined by the instability locus dimension. Learn about the extension to non-finite cases, where K-finiteness replaces traditional finiteness and the discriminant takes the role of the mapping image. Discover how these findings expand upon existing knowledge of Milnor fibre concentration estimates for complete intersections in relation to singular locus dimensions.