Abstract: 

On a compact Hermitian manifold X we consider the complex Monge-Ampère equation with right-hand side f in L^p, p>1 and semipositive and big reference form omgea. We prove that there is a continuous solution which is smooth in a Zariski open set if an additional regularity assumption on the density f is assumed. As an application, we obtain a singular Hermitian analogue of Yau’s solution to the Calabi conjecture. This is a joint work with Vincent Guedj announced on arXiv:2107.01938. 

Speaker：

Hoang-Chinh Lu 

Dr. Hoang-Chinh Lu is an assistant professor at University Paris-Saclay. He is working on complex geometry and pluripotential theory with focus on canonical metrics, Monge-Ampère equations, geometric flows.

Zoom:

https://us02web.zoom.us/j/86442504459?pwd=eWZHWW0vZlBqZkh4TXc3QXR3ZWg5UT09

ID: 864 4250 4459

Passwords: 070281