PIMS-NCTS Workshop in Geometric Analysis

Geometric analysis is a broad area. It uses and develops tools from analysis, such as partial differential equations, calculus of variations and geometric measure theory, to solve problems in geometry and topology. A pivotal achievement is the application of the Ricci  flow in the proof of Poincare's conjecture by G. Perelman. S.T. Yau's resolution of the Calabi conjecture by solving the complex Monge-Ampere equation has profound in fluence in complex geometry and beyond.
 

The proposed workshop aims to bring together of researchers, postdoctoral fellows, graduate students from the PIMS universities and institutions in Taiwan to exchange new ideas in geometric analysis. The focus includes but not limited to curvature flows (e.g. Ricci  flow, mean curvature  ow, higher order parabolic curvature  flows), geometric variational problems (e.g. critical points of the area/volume functional and curvature integrals that lead to minimal surfaces/submanifolds, surface with constant mean curvature, Willmore surface, metrics with constant scalar curvature and so on) and differential equations (e.g. Monge-Ampere equations, harmonic maps, fully nonlinear equations for Lagrangian submanifolds) in Riemannian/Complex/Symplectic geometry.