Geometry & Topology Seminar: "Homogenerous Isoparametric Hypersurfaces of a 7-Shpere and Hopf Fibration"

Jae Hyouk Lee, Ewha Womans University, Seoul

Abstract: In this talk, we consider the isoparametric hypersurfces in spheres whose classification has been completed recently. In particular, the cases of g=6 turned out homogeneous hypersurfaces. Here we discuss R. Miyaoka's work on homogenous isopametric hypersurfaces with g=6  of a 7-sphere and related isoparmatric hypersurfacds in a 4-sphere along the Hopf fibration.

Host: Xiang Tang