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Z/2 harmonic 1-forms and Z/2 eigensections

发布日期:2024-11-08点击数:

91直播:陈家煌 博士 (中科院)

时间:2024年11月12日 14:00-

腾讯会议ID:291-310-077


摘要:The Z/2 harmonic 1-forms were introduced by Clifford Taubes to generalize the Uhlenbeck compactness theorem. These 1-forms turn out to be the 3-dimensional analog of quadratic differentials and can be used to compactify a character variety.

On the other hand, Z/2 eigensections generalize Laplacian eigenfunctions on S^2. Specifically, Z/2 critical eigensections serve as flat models for Z/2 harmonic 1-forms.In this talk, after an introduction to Z/2 harmonic 1-from, we will discuss existence of infinitely many Z/2 critical eigensections. This is joint work with S. He.


邀请人: 林德燮


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