AIM Workshop: PDE methods in complex geometry
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| Dates | August 26-30, 2024 |
|---|---|
| Location | American Institute of Mathematics, United States |
| Organizer | American Institute of Mathematics, Pasadena, California |
| Topics | |
| This workshop, sponsored by AIM and the NSF, will be devoted to exploring the geometric and analytic regularity of fully nonlinear partial differential equations (PDE) arising from geometry and physics. Ever since Yau's solution to the Calabi conjecture, geometric PDEs, such as the complex Monge-Ampere equations, have been extensively studied from both the geometric and analytic perspective. These equations have profound applications across many areas of mathematics, including differential geometry, metric geometry and algebraic geometry. Notable advancements have been made in this field, including the sharp Lā estimates of Kolodziej, and Holder continuity for complex Monge-Ampere equations. The goal is to bring together experts in this field to explore open problems and develop new techniques which are expected to yield solutions to some of the long-standing questions. | |
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