题目:A deformed Hermitian Yang-Mills flow

报告人:张德凯(上海大学)

腾讯会议:659-540-200

时间:2022年12月15日09:00-10:00

摘要:In this talk, we consider a deformed Hermitian Yang-Mills flow on a compact Kähler manifold. We first show the longtime existence of the flow under the supercritical condition on the initial data. Under Collins-Jacob-Yau's condition on the subsolution, the longtime solution converges to the solution of the deformed Hermitian Yang-Mills equation, which was solved by Collins-Jacob-Yau by the continuity method. As an application, we show that on a compact Kähler surface, if there exists a semi-subsolution, the flow converges smoothly to a singular solution to the deformed Hermitian Yang-Mills equation. This is a joint work with Prof. Jixiang Fu and Prof. Shing-Tung Yau.