报告人：马飙（北京大学）
时间：2023年10月27日10：00-11：00
地点： 中科大上海研究院2号楼414
We introduce a fully nonlinear PDE on Kahler manifolds with a differential form \Lambda. Such PDE unifies several important equations in complex geometry including Monge-Ampere equation, J-equation, and deformed Hermitian Yang-Mills (dHYM) equation. Based on G.Chen's breakthrough on J-equation and dHYM equation, we prove analytical and algebraic criterions for the solvability of the equation, assuming certain positivity conditions on \Lambda. As an application of our results, we prove a conjecture of Collins-Jacob-Yau for dHYM equation with small global phase. Thisis a joint work with Professor Hao Fang.
