Siqi He (Chinese Academy of Sciences) will give the geometry seminar at 2pm on 3rd November, in the Salle des Profs (9th floor building NO). Siqi’s title is “On some properties of Z2 eigenvalues on round two sphere” and his abstract is below.
In this talk, we will introduce an eigenvalue problem for the Laplace operator on multivalued functions, defined on the complement of the 2n points on the round two sphere, introduced and systematically studied by Taubes-Wu. These eigenvalues could also be viewed as functions on the configuration spaces of points, where the critical points, which serve as local singularity models for gauge theoretical problems, are of particular interest. We will discuss several existence and rigidity results towards these critical points. This is a joint work with J.Chen.