This book collects the papers published by A. Borel from 1983 to 1999.
About half of them are research papers, written on his own or in
collaboration, on various topics pertaining mainly to algebraic or Lie
groups, homogeneous spaces, arithmetic groups (L2-spectrum, automorphic
forms, cohomology and covolumes), L2-cohomology of symmetric or locally
symmetric spaces, and to the Oppenheim conjecture. Other publications
include surveys and personal recollections (of D. Montgomery,
Harish-Chandra, and A. Weil), considerations on mathematics in general
and several articles of a historical nature: on the School of
Mathematics at the Institute for Advanced Study, on N. Bourbaki and on
selected aspects of the works of H. Weyl, C. Chevalley, E. Kolchin, J.
Leray, and A. Weil. The book concludes with an essay on H. Poincaré and
special relativity. Some comments on, and corrections to, a number of
papers have also been added.