

2007: Analysis and Application 
Optimization and Numerical Methods in Mathematics
COORDINATOR:
Soon Yi Wu (NCKU)
Optimization, Functional Analysis, Linear Programming
Tel: +88662757575 Ext. 65133
Topics:
Optimization is the science of rational decisionmaking based on quantitative analysis. It has the broadest application spreading out in many areas, such as military operation, environmental protection, transportation management, inventory control, human resources governance, medicare resource allocation, etc., many of which are important issues faced by our society today. We will focus on some major topics in optimization as follows:
Besides the above two themes, nonlinear analysis and integer programming will also be our themes.
Functional Analysis, Operator Theory, and Algebraic Methods in Analysis
COORDINATOR:
NgaiChing Wong (NSYSU)
Functional Analysis, Operator Algebras,Operator Theory
Tel: +88675252000 Ext. 3818
Topics:
In 2007, we will continue our emphases on the study of Jordan structures in analysis. Jordan algebras were first introduced by Jordan, von Neumann and Wigner around 1934 for an axiomatic study of quantum mechanics. Since then, Jordan structures have found many important applications, besides physics, in diverse areas of mathematics, notably in Lie algebras, group theory, geometry, complex and functional analysis. Among them, Zelmanov's solution of the restricted Burnside problem awarded him a Fields Medal in 1994.
We are mainly interested in the possible applications of the Jordan structures to complex variables and geometry in the infinite dimension setting. For instance, in the theory of homogeneous Banach manifolds, Kaup and Upmeier have successfully made use of the tools from Jordan triples, Jordan pairs and Jordan algebras to generalize the famous Cartan's classification for bounded symmetric domains to infinite dimension. It might be interesting to note that in the finite dimensional case, both Lie and Jordan approaches give rise to the same theory, while only the Jordan tools are applicable in the infinite dimensional case. We will explore into the area of the bounded symmetric domains in Banach spaces, Cartan factors, and JB*triples. A possibly theme might be on the theory of differential operators on bounded symmetric domains and Shimura varieties.
In April 2006, there held a very stimulating international conference in “Jordan Structures in Geometry and Analysis” in NSYSU and NCKU. Kaup, Upmeier, Edwards, Chu and many other key figures in Jordan theory presented their new results in this event. To follow the most recent advance in this subject, we will place our foci in 2006 again at:
Participants
Soon Yi Wu (National Cheng Kung University)
Jen Chin Yao (National Sun Yatsen University)
Ruey Lin Sheu (National Cheng Kung University)
Chun Hao Teng (National Cheng Kung University)
Chern Shuh Wang (National Cheng Kung University)
NgaiChing Wong (National Sun Yatsen University)
Mark C. Ho (National Sun Yatsen University)
TsaiLien Wong (National Sun Yatsen University)
JhyShyang Jeang (ROC Military University)
Yuen Fong (National Cheng Kung University)
MueMing Wong (Meiho Institute of Technology)
Hong Kun Xu (National Sun Yatsen University)
國家理論科學研究中心(南區)數學組
地址：台南市東區大學路1號 國立成功大學成功校區 國家理論科學研究中心
電話：062757575 ext. 65010
傳真：062365845
Email:math@ncts.ncku.edu.tw
Copyright © 2009 Mathematics Division, National Center for Theoretical Sciences(South)