SCIENTIFIC PROGRAMME OF THE 21ST SUMMER RESEARCH INSTITUTE

INVITED LECTURES

(in alphabetical order)

C.W. Curtis, "Homology Representations of finite groups of Lie type".

(3 lectures).

P.J. Davis, "Personal Reminiscences of the Gauss-Christoffel Formula"

"On the Nature of Utility in Mathematics"

"Fourier Matrices and Circulants"

"Non-analytic aspects of Mathematics"

"Regions admitting Quadrature Formulas".

R. Delbourgo, "Matrix Correlation Functions".

D. Elliott, "Some Aspects of Singular Integral Equations".

G. Glauberman, "Some Simplifications in the proof of the Feit-Thompson Theorem"

(4

lectures).

P.M. Gruber, "A Survey of Convexity"

"Applications of Convexity and its Relations to other Fields".

F. Hirzebruch, "Introduction to the Theory of Algebraic Surfaces with a

Discussion of Concrete Examples, e.g. Modular Surfaces".

(5

lectures).

I.G. MacDonald, "Lie Groups, Combinatorics and Number Theory" (2 lectures).

M. Mendes France, "Paper Folding, Space-Filling Curves and Rudin-Shapiro

Sequences".

G. Pilz, "Near Rings: What they are and what they are good for" (2 lectures).

T.J. Rivlin, "The optimal Recovery of Functions"

(5

lectures).

N.J.A. Sloane, "Spherical Codes"

(5

lectures).

G.S. Watson, "Orientation Analysis - Theory and Data Analysis (with

applications to cometary orbits, palaeomagnetism and biology)"

(3

lectures).

E.C. Zeeman, "Bifurcations, Catastrophes and Turbulence" (5 lectures).

1.

ANALYSIS

CONTRIBUTED PAPERS

(in specialist sessions)

W.R. Bloom, "Multipliers of Lipschitz spaces on zero dimensional groups".

J.H. Chabrowski, "Representation theorems for parabolic systems in the sense

of I.G. Petrowskii".

E.N. Dancer, "Conley's homology index, symmetries and the solvability of some

partial differential equations".

M.A.B. Deakin, "The formal power series approach to catastrophe theory".

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