20:00 - 21:00, October 22, 2025 (Wednesday) Zoom, Online seminar
(線上演講 Zoom)
Construction of Minimal Hypersurfaces with Large First Betti Number Dongyeong Ko (Massachusetts Institute of Technology)
Abstract
We prove the regularity of cohomogeneity two equivariant isotopy minimization problems. We develop the cohomogeneity two equivariant min-max theory for minimal hypersurfaces proposed by Pitts and Rubinstein in the 1980s. As an application of the theory, for and , we construct minimal hypersurfaces on round spheres with -symmetry. For sufficiently large , is a sequence of minimal hypersurfaces with arbitrary large Betti numbers with topological type or , which converges to a union of and a Clifford hypersurface or . In particular, for dimensions and , has a topological type .
