Review of the Collected Works of John Tate --- J.S. Milne   Top
Expository Notes
A Primer of Commutative Algebra
Motives---Grothendieck's Dream
What is a Shimura Variety?
Introduction to Shimura Varieties
Shimura Varieties and Moduli
Tannakian Categories
The Work of Tate
Errata
This is my review of
Tate, John. Collected works of John Tate. Part I (1951--1975). Edited by Barry Mazur and Jean-Pierre Serre. American Mathematical Society, Providence, RI, 2016.
Tate, John. Collected works of John Tate. Part II (1976--2006). Edited by Barry Mazur and Jean-Pierre Serre. American Mathematical Society, Providence, RI, 2016.
written for the Bulletin of the AMS.
pdf for my manuscript.
pdf for the published version (Bull. Amer. Math. Soc. (N.S.) 54 (2017), no. 4, 551--558.)
My manuscript contains footnotes not in the version sent to the AMS. The published version includes errors not in the manuscript.

Contents

  1. Hecke L-series and Tate's thesis
  2. Galois cohomology and the Tate-Nakayama isomorphism
  3. Local class field theory and Lubin-Tate spaces
  4. Abelian varieties and the Artin-Tate conjecture
  5. The Tate conjecture
  6. Rigid analytic spaces and the Tate curve
  7. The many other aspects of Tate's work
  8. CW: the unpublished papers
  9. CW: the letters
  10. CW: Tate's comments on the papers