The International Conference on Fundamental Sciences: Mathematics and Theoretical Physics provided a forum for reviewing some of the significant developments in mathematics and theoretical physics in the 20th century; for the leading theorists in these fields to expound and discuss their views on new ideas and trends in the basic sciences as the new millennium approached; for increasing public awareness of the importance of basic research in mathematics and theoretical physics; and for promoting a high level of interest in mathematics and theoretical physics among school students and teachers. This was a major conference, with invited lectures by some of the leading experts in various fields of mathematics and theoretical physics.
Author(s): J.P. Jesudason, C.H. Lai, Louis H. Y. Chen, J. Packer Jesudason, C. H. Lai, C. H. Oh, K. K. Phua, Eng-Chye Tan
Publisher: World Scientific Publishing Co Pte Ltd
Year: 1998
Language: English
Pages: 528
Message from Director of Newton Institute ......Page 6
Message from Director of Research and Former Dean of Science National University of Singapore ......Page 8
Foreword ......Page 10
CONTENTS ......Page 12
List of Lectures ......Page 14
Committees ......Page 18
Mathematics ......Page 20
A Review of Critical Point Theory ......Page 22
Spectrum of Convolution Dilation Operators on Weighted Lp Spaces ......Page 70
Data Tuning ......Page 91
Gambling with the Truth: Markov Chain Monte Carlo ......Page 102
Automorphic Representations and Cohomology of Arithmetic Groups ......Page 121
Applied Mathematics Meets Signal Processing ......Page 157
Modular Forms and Diophantine Questions ......Page 181
Chromatic Graph Theory ......Page 202
Glimpses of Nonlinear Partial Differential Equations in the Twentieth Century: A Priori Estimates and the Bernstein Problem ......Page 215
Three-Dimensional Subgroups and Unitary Representations ......Page 232
Theoretical Physics ......Page 270
How Monte Carlo Simulations can Clarify Complex Problems in Statistical Physics ......Page 272
The Future of Particle Physics ......Page 295
Yang-Mills Duality and the Generation Puzzle ......Page 318
The Mathematics of M-Theory ......Page 336
Quantum Entanglement and Secrecy ......Page 358
What Is Quantum Computation? ......Page 370
Aspects of Anomalies in Field Theory ......Page 403
Dynamical Chaos and Nonequilibrium Statistical Mechanics ......Page 417
General Relativity and Quantum Mechanics ......Page 449
Integrable Integral Operators ......Page 471
Topics on Fractals in Mathematics and Physics ......Page 480
Perturbative Quantum Field Theory ......Page 498
