The Fields Medalists Borcherds, Gowers and Kontsevich gave additional lectures in the afternoon program. They agreed that manuscripts of their talks should be included in the Proceedings. But finally, Maxim Kontsevich decided not to submit a manuscript of his lecture on Motivic Galois Group and Deformation Quantization, due to very recent developments in his field of interest.

Contents: dvi.gz, dvi, ps.gz.

Richard E. Borcherds
What is Moonshine?
Doc.Math.J.DMV Extra Volume ICM I (1998) 607-615
Abstract 1 k, dvi.gz 17 k, dvi 37 k, ps.gz 58 k. 

W. T. Gowers
Fourier Analysis and Szemerédi's Theorem
Doc.Math.J.DMV Extra Volume ICM I (1998) 617-629
Abstract 2 k, dvi.gz 28 k, dvi 63 k, ps.gz 182 k. 
This manuscript contains graphics, 
 therefore the dvi files may be incomplete.

Curtis T. McMullen
Rigidity and Inflexibility in Conformal Dynamics
Doc.Math.J.DMV Extra Volume ICM II (1998) 841-855
Abstract 1 k, dvi.gz 29 k, dvi 64 k, ps.gz 202 k. 
This manuscript may contain graphics, 
 therefore the dvi files may be incomplete.

Peter W. Shor
Quantum Computing
Doc.Math.J.DMV Extra Volume ICM I (1998) 467-486
Abstract 2 k, dvi.gz 35 k, dvi 85 k, ps.gz 96 k. 
This manuscript contains graphics, 
 therefore the dvi files may be incomplete.