Geometry Seminar: Jiahua Zou (Rutgers U)

GeoTop Geometry Seminar (Geometric Analysis)

Speaker: Jiahua Zou (Rutgers U) via Zoom

Title: Index and nullity of minimal surfaces

Abstract: We discuss the strategies and results on the determination of index and nullity of minimal surfaces. In particular, we prove that for any large enough m, the genus γ = m + 1 equator-poles minimal surface doubling of the equatorial two-sphere in the round three-sphere, which has two catenoidal bridges at the poles and m bridges equidistributed along the equatorial circle and was discovered in earlier work of Kapouleas, has index 2γ + 5 = 2m + 7 and nullity 6. We also discuss the progress in the study of indices of minimal surfaces from similar constructions.

Zoom viewing together: Room 4.4.20
Zoom attendance remotely: Please ask Niels Martin for the link.