Speaker: 陈家煌，中国科学院数学与系统科学研究院            

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

Language: Chinese 

Time & Venue: 2024.11.06 14:15-15:15 N818

Abstract: 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.