拓扑研讨班:On the existence of critical Z/2 eigensections on S^2

中科院数学与系统科学研究院

数学研究所

学术报告

拓扑研讨班

报告人：陈家煌（数学与系统科学研究院）

题  目：On the existence of critical Z/2 eigensections on S^2

时  间：2024.11.06（星期三）14:15-15:15

地  点：数学院南楼N818

摘  要：On the 2-sphere S^2, the Z/2 eigensection is a generalization of the Laplacian eigenfunction. Specifically, critical Z/2 eigensections serve as flat models for Z/2 harmonic 1-forms, which are analogous to quadratic differentials on 3-manifolds. Recently, Taubes and Wu have investigated the existence of critical Z/2 eigensections and constructed several examples. In this talk, we will further discuss existence of infinitely many critical eigenvalues. This is joint work with S. He.