INTRODUCTION

SCIENTIFIC PROGRAMME

LIST OF PARTICIPANTS

INVITED LECTURES

TABLE OF CONTENTS

C.W. CURTIS and G.I. LEHRER, Homology Representations of Finite

Groups of Lie Type.

vii

ix

xiii

R. DELBOURGO, Matrix Correlation Functions. 29

D. ELLIOTT, Some Aspects of Singular Integral Equations - A

Numerical Analyst's Viewpoint. 41

F. HIRZEBRUCH, Some Examples of Algebraic Surfaces. 55

I.G. MACDONALD, Lie Groups and Combinatorics. 73

M. MENDES-FRANCE, Paper Folding, Space-Filling Curves and

Rudin-Shapiro Sequences. 85

G. PILZ, Near-Rings: What They Are and What They Are Good For. 97

T.J. RIVLIN, The Optimal Recovery of Functions. 121

N.J.A. SLOANE, Recent Bounds for Codes, Sphere Packings and

Related Problems Obtained by Linear Programming and Other

Methods. 153

G.S. WATSON, Three Aspects of the Statistics of Directions. 187

E.C. ZEEMAN, Bifurcation and Catastrophe Theory. 207

Contributed Papers: ALGEBRA, NUMBER THEORY

D. FEARNLEY-SANDER, Euclid with an Unfamiliar Ring. 273

B.J. GARDNER, Absolute Retracts, Relatively Injective Simple

Objects and Brown-McCoy Radicals. 277

R.B. HOWLETT and G.I. LEHRER, A Comparison Theorem and other

Formulae in the Character Ring of a Finite Group of Lie

Type. 285

G. KARPILOVSKY, On Commutative Group Algebras. 289

R. MATTHEWS, Orthogonal Systems of Polynomials over a Finite

Field with Coefficients in a Subfields. 295

C.J. SMYTHE, A Lattice Colouring Problem. 303

A.J. van der POORTEN, Substitution Automata, Functional Equations

and "Functions Algebraic over a Finite Field". 307

Contributed Papers: ANALYSIS

M.A.B. DEAKIN, The Formal Power Series Approach to Elementary

Catastrophe Theory. 313

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