Abstract: The Monge-Ampere functional is an important tool in the study of Monge-Ampere equations. In this talk, I will discuss some generalization of the Monge-Ampere functional, which leads to a new class of interesting Monge-Ampere equations. This is based on joint work with S.-T. Yau, and I will also discuss some ongoing work with T. Collins and S.-T. Yau.