数学研究所
中国科学院华罗庚数学重点实验室
学术报告
多复变与复几何研讨班
SCV&CG Seminar
Speaker: 何思奇 副研究员（中国科学院数学与系统科学研究院）
Inviter: 周向宇 院士
Language: Chinese
Title: The Deformation Problem for Z2 Harmonic 1-Forms over Kähler Manifolds
Time&Venue: 2025年4月23日（星期三） 15:30-17:00 & 南楼N913
Abstract: Z2 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 Z2 harmonic 1-forms. In addition, we will discuss the deformation problem of Z2 harmonic 1-forms in the Kähler setting.
附件：