Time: 9:30, Wednesday, July 3, 2024

Venue: 5th floor, A6 Building

Abstract: Hölder continuous plurisubharmonic functions appear frequently in complex dynamic, approximation theory and pluripotential theory. Especially, theirs associated Monge-Ampère measures are moderate in the sense of Dinh-Nguyen-Sibony. We survey recent developments related to the Hölder continuous plurisubharmonic solutions to the complex Monge-Ampère equation on both bounded open domains in C^n and compact complex manifolds (possibly non-Kähler) with or without boundary.