國家理論科學研究中心(南區)數學組

Coordinator:

River Chiang (NCKU)

2009/06/22-Present, Coordinator of Division of Mathematics, NCTS(South)

Symplectic geometry, Topology

riverch@mail.ncku.edu.tw

Tel: +886-6-2757575 Ext. 65126

 

Introduction :

Geometry is a big branch of study in mathematics. It consists of many important areas and subjects. During the year, we continue our research in algebraic geometry, dynamical systems, symplectic and contact geometry. Joint seminars and workshops are planned to promote research collaboration.

 

Research topics in progress (NCTS South) :

•  Geometric Analysis and Related Topics: Nonlinear parabolic PDEs, soliton surfaces, geometric evolution equations on pseudohermitian (2n+1)-manifolds, Cartan flow and Yamabe flow on a closed CR 3-manifold with nonzero pseudohermitian torsion and its relation to the contact topology.

•  Symplectic Geometry and Topology: S urgery, isotopy and invariants of Lagrangian surfaces, symplectomorphism and contactomorphism groups, Gromov-Witten theories of certain Hilbert schemes.