报告人：Siqi He(Morningside Center of Mathematics, Chinese Academy of Sciences）

Pretalk

主题：The Analytic Compactification of SL(2,C) Character Varieties 

时间：2025年5月12日，16:15-16:45

摘要：In the pretalk, we will introduce Taubes’ work on the analytic compactification of the SL(2,C) character variety of 3- and 4-manifolds from a gauge theory perspective. We will discuss the construction of the compactification, and understanding the boundary of the compactified space.

Research Talk

主题：The Deformation Problem for Z/2 Harmonic 1-Forms over Kähler Manifolds

时间：2025年5月12日，16:45-17:35

摘要：Z/2 harmonic 1-forms, introduced by Taubes, describe the boundary behavior of moduli spaces arising from gauge-theoretic equations. The Hitchin–Simpson equations on a Kähler manifold are first-order nonlinear equations for a pair consisting of a connection on a Hermitian vector bundle and a 1-form valued in the endomorphism bundle. We study the behavior of solutions to the Hitchin–Simpson equations as the norm of the 1-form becomes unbounded, and explore its relationship with Z/2 harmonic 1-forms. In addition, we will discuss the deformation problem of Z/2 harmonic 1-forms in the Kähler setting.

地点：紫金港校区海纳苑2幢204室

组织者：Hana Jia Kong, Song Sun,

              Lei Wu, Weiwei Wu