Proceedings of the Third Asian Mathematical Conference 2000 : University of the Philippines, Diliman, Philippines, 23-27 October 2000

631 Pages·2002·23.72 MB·English

by  T Sunada

THIRD
ASIAN MATHEMATICAL
CONFERENCE 2000
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Proceedings of the
THIRD
ASIAN MATHEMATICAL
CONFERENCE 2 0 00
University of the Philippines 23-27 October 2000
Diliman, Philippines
Editors
Toshikazu Sunada
Tohoku University, Sendai, Japan
Polly W Sy
University of the Philippines, Diliman, Philippines
Yang Lo
The Chinese Academy of Sciences, Beijing, China
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PROCEEDINGS OF THE THIRD ASIAN MATHEMATICAL CONFERENCE 2000
Copyright © 2002 by World Scientific Publishing Co. Pte. Ltd.
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PREFACE
The Third Asian Mathematical Conference (AMC2000) was held on 23-27 October
2000 at the University of the Philippines, Diliman Campus. This event was organized
by the Southeast Asian Mathematical Society in collaboration with many
mathematical societies in Asia. This Conference covered the main fields of
mathematics; namely, algebra and number theory, analysis, geometry and topology,
applied mathematics, and mathematics education.
During the 5-day conference, there were 8 plenary lectures, 47 invited lectures and
overlOO short communications. Most of the plenary and invited addresses were
delivered by mathematicians from Asia. There were about 500 participants in the
Conference. This proceedings volume is a collection of papers presented in the
Conference.
The AMC2000 has achieved its main purposes of providing a forum for Asian
mathematicians to meet and discuss mathematical problems on a wide range of topics
and of supporting the objectives of the World Mathematical Year 2000. Moreover, it
has fostered friendship among citizens of the participating countries and contributed
to the development of mathematics research in the host country as well as
participating countries.
The first Asian Mathematical Conference (AMC) was held in the University of Hong
Kong in 1990. The Second was held in the Suranaree University of Technology,
Thailand in 1995 and this Conference was the third in the series. Because of the
success of these three AMC conferences, it has been decided that the AMC will be
held once every four years. During the third AMC, Singapore has agreed to host the
fourth AMC in the year 2004.
The Southeast Asian Mathematical Society (SEAMS) is a society formed in 1972
whose members are mathematicians mostly from Southeast Asian countries including
Brunei, Hong Kong, Indonesia, Malaysia, the Philippines, Singapore, Thailand and
Vietnam. Its primary objectives are
(1) To promote the advancement of mathematical sciences in Southeast Asia
v
VI
(2) To facilitate the exchange of information about the current research work and
teaching methods not only among mathematicians in Southeast Asia but also with
mathematicians from outside the region.
(3) To encourage and foster friendly collaboration with the members of mathematical
and scientific institutions.
Since 1972, the promotion of mathematical research has been done through the
sponsorship of mathematical conferences, symposia, meetings of mathematicians,
lecture tours and other academic and social activities among its members. The
facilitation of the exchange of research information has been realized through the
publication of the Southeast Asian Bulletin of Mathematics starting in 1977. We
believe that the SEAMS will continue to play its important role of promoting cross
cultural and international links for mathematicians in the region as well as the whole
of Asia.
On behalf of the AMC2000 Steering Committee and AMC2000 Scientific Committee,
we would like to express our gratitude and appreciation to all sponsors, donors and
friends for their help and support for the Conference. We would like to extend our
thanks to all plenary speakers, invited speakers and guests for having kindly accepted
our invitation and to all participants for their enthusiastic response. Finally, we would
like to acknowledge and express our thanks for the help and support of the faculty,
staff, alumni and friends of the Department of Mathematics, University of the
Philippines, Diliman Campus in the preparation for and during the Conference.
Toshikazu Sunada
Polly W. Sy
Yang Lo
November 2001
ACKNOWLEDGMENTS
The Conference Organizers would like to acknowledge and thank
the support given by the following Sponsors and Donors:
SPONSORS:
International Mathematical Union
Abdus Salam International Center for Theoretical Physics
UP Diliman Mathematics Foundation, Inc.
Ellen Francisco-Fajardo Foundation, Inc.
Tan Yan Kee Foundation, Inc
Philamlife Foundation, Inc.
National Natural Science Foundation of China
Chinese Mathematical Society
Indonesian Mathematical Society
Korean Mathematical Society
Mathematical Society of Japan
Mathematical Society of the Philippines
Mathematical Society of Thailand
Singapore Mathematical Society
Vietnam Mathematical Society
Southeast Asian Mathematical Society
Ateneo de Manila University
De La Salle University
AMA Education System
Philippine Social Security System
Philippine Health Insurance Corporation
Philippine Government Service Insurance System
UCPB General Insurance Company, Inc.
Aegon Life Insurance (Philippines), Inc.
First Guarantee Life Assurance Company, Inc.
The Insular Life Assurance Company, Limited
CAP Family of Companies
Nippon Life Philippines
Actuarial Advisers, Inc.
CMG Life Insurance Company, Inc.
VII
VIII
Aloha Mental Arithmetic Philippines, Inc.
Canon Information Technologies Philippines, Inc.
First Metro Investment Corporation
Medrano Law Office
Nestle (Philippines)
Pilipinas Shell Petroleum Corporation
SoftTech Advantage, Inc.
Q.C.D. Ventures Corporation
LandBank of the Philippines
Anchor Bank
Donors ( Friends and Alumni of the Department)
Joaquin B. Bamba
Annalizza A. Bernardo
Rizaldy T. Capulong
Eleonora Y. Cinco
Melchor V. Ciubal
Peter Godfrey C. Darvin
Coralyn G. del Rosario
Ronald L. Evangelista
Arnold P. Frias
Lih Ko-Wei
Hiroko and Mitsuo Morimoto
Allan R. Santos
Judy Frances Aquino See
Edgar B. Solilapsi
Toshikazu Sunada
Horacio T. Templo
Kenji Ueno
Anonymous Donors
Special Thanks to:
HIS Sounds Philippines (Dr. Romulo G. Pizana, Musical Director/Conductor)
The University of the Philippines Filipiniana Dance Group (Mr. Van Manalo, Artistic
Director)
AMC2000 Committees
The AMC2000 Scientific Committee :
Yang Lo, The Chinese Academy of Sciences, Beijing (Chairman)
Dinh Dung, Hanoi Institute of Mathematics, Hanoi
Kim Do Han, Seoul National University, Seoul
Lee Seng Luan, National University of Singapore
Liu Fon-Che, Academia Sinica, Taipei
Ma Zhi Ming, The Chinese Academy of Sciences, Beijing
Masaki Maruyama, Kyoto University, Kyoto
Milagros P. Navarro, University of the Philippines, Diliman
M.S. Raghunathan, Tata Institute of Fundamental Research
Vladimir Romanov, Sobolev Institute of Mathematics Novosibirsk, Koptyuga
Aner Shalev, The Hebrew University of Jerusalem
Toshikazu Sunada, Tohoku University, Sendai
The AMC2000 Steering Committee:
Polly W. Sy, University of the Philippines, Diliman (Chairperson)
Do Long Van, Hanoi Institute of Mathematics, Hanoi
Li Daqian, Fudan University, Shanghai
Lih Ko-Wei, Academia Sinica, Taipei
Ann Chi Kim, Dolsan Mathematical Institute, Pusan
Koh KheeMeng, National University of Singapore
Mitsuo Morimoto, International Christian University, Tokyo
Bienvenido F. Nebres, Ateneo de Manila University
Kazuo Okamoto, Tokyo University, Tokyo
Shum Kar-Ping, The Chinese University of Hong Kong
Kenji Ueno, Kyoto University, Kyoto
The AMC2000 International Organizing Committee :
Lorna I. Paredes, University of the Philippines, Diliman (Chairperson)
Eisa Al-Said, King Saud University, Riyadh
Lorna S. Almocera, University of the Philippines, Cebu
Yolando B. Beronque, De La Salle University, Manila
Sergio R. Canoy, Mindanao State University-IIigan Institute of Technology
Wanida Hemakul, Chulalongkorn University, Bangkok
Wenlin Li, The Chinese Academy of Sciences, Beijing
Ling San, National University of Singapore
Maslina, Universiti Kebangsaan Malaysia, Selangor
Sri Wahyuni, Gadjah Mada University, Yogyakarta
Teofina Rapanut, University of the Philippines, Baguio
Walter Roth, Universiti Brunei Darussalam
IX
The AMC2000 Local Organizing Committee :
Polly W. Sy (Chairperson)
Luz R. Nochefranca (Secretary)
Maritina T. Castillo
Ricardo D.H. Del Rosario
Jose Maria L. Escaner IV
Augusto Y. Hermosilla
Ricardo Enrico C. Namay II
Caridad M. Natividad
Nenita C. Ocampo
Lorna I. Paredes
Romulo G. Pizana
Dakila A. Reyes
Ivy C. Suan
Evelyn L. Tan
Ma. Vivien V. Visaya
ASSISTING OFFICERS & STAFF of the Philippine Social Security System
Chairman & Pres. Carlos A. Arellano
EVP Leopoldo S. Veroy
EVP Horacio T. Templo
SVP Maria M. Laurel
SVP Edgar B. Solilapsi
VP Marissu Bugante
VP Alfredo S. Villasanta
AVP Rizaldy T. Capulong
Amando P. Montano
Matias C. Defensor
Ronaldo W. Recio
Jesse Revecho
Jannet V. Villacorta
Arnold Frias
Melchor Vergel L. Ciubal
Nemesiano Mogello