

2010:Geometry 
Coordinator：
River Chiang (NCKU)
2009/06/22Present, Coordinator of Division of Mathematics, NCTS(South)
Symplectic geometry, Topology
Tel: +88662757575 Ext. 65126
Introduction ：
Geometry has many interesting different aspects, and our focus group has a wide spectrum which covers quite a few important directions of them. We mostly concentrate on, but not limited to: Geometric Evolution Equations, Function and Map Theory, and Geometric Structures. During the year, we have many regular seminars and held quite a few conferences and mini courses.
Main research focus of GADG group at NCTS：
• Geometric Evolution Equations:
(i) Mean curvature flow in higher codimension
(ii) The torsion flow and geometrization problem of contact 3manifolds
(iii) The curvature flow of curves and hypersurfaces
(a) Expanding convex immersed closed plane curves
(b) Evolving a convex closed curve to another one via a lengthpreserving linear flow
(c) Contracting convex immersed closed plane curves
• Function and Map Theory :
(i) Function theory on pseudohermitian manifolds.
(ii) Analysis on submanifold in a subRiemannian manifold
(iii) Harmonic function Theory
(a) Minimal submanifolds
(b) Harmonic functions and harmonic forms on manifolds
(c) Heat flow of Harmonic Maps Heat flow of Harmonic Maps
• Geometric Structures :
(i) Special Lagrangian and Hamiltonian stationary submanifolds
(ii) CR structures in CauchyRiemann geometry and topology of contact manifolds
(iii) The CalabiYau problems for CR manifolds.
• Other Topics :
The geometry research at Tainan ranges from symplectic geometry to algebraic geometry to geometric analysis. Research topics include: moduli spaces of vector bundles, representation varieties, moment maps in various geometries, contact homology, Lagrangian submanifolds, orbifold quantum cohomology, cohomological crepant resolutions, local positivity and syzygies of algebraic varieties, geometric flows and harmonic maps.
Mathematics Division, National Center for Theoretical Sciences(South)
Address：No.1, University Road, Tainan City 701, Taiwan (R.O.C.)
Tel：88662757575 ext. 65081
Fax：88662365845
Email:math@ncts.ncku.edu.tw
Copyright © 2009 Mathematics Division, National Center for Theoretical Sciences(South)