This volume collects six related articles. The first is the notes
(written by J.S. Milne) of a major part of the seminar "Periodes des Int
grales Abeliennes" given by P. Deligne at I'.B.E.S., 1978-79. The second
article was written for this volume (by P. Deligne and J.S. Milne) and
is largely based on: N Saavedra Rivano, Categories tannakiennes, Lecture
Notes in Math. 265, Springer, Heidelberg 1972. The third article is a
slight expansion of part of: J.S. Milne and Kuang-yen Shih, Sh ura
varieties: conjugates and the action of complex conjugation 154 pp.
(Unpublished manuscript, October 1979). The fourth article is based on a
letter from P. De1igne to R. Langlands, dated 10th April, 1979, and was
revised and completed (by De1igne) in July, 1981. The fifth article is a
slight revision of another section of the manuscript of Milne and Shih
referred to above. The sixth article, by A. Ogus, dates from July, 1980.