Seminar| Institute of Mathematical Sciences
Time: Thursday, April 24th, 2025,13:30-14:30
Location: IMS, RS408
Speaker: Siqi He, Chinese Academy of Sciences
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.