I will provide an introduction to pluripotential theory, starting with the definition of plurisubharmonic functions. I will then define the complex Monge–Ampère operator in the sense of Bedford and Taylor. Finally, I will discuss the Dirichlet problem for the complex Monge-Ampère on pseudoconvex domains and the $C^{1,1}$ regularity in the unit ball.
An introduction to pluripotential theory I
20.01.2025 12:00 - 13:30
Organiser:
Luke Edholm
Location:
Online