Collected Works of John Tate

Barry Mazur, Harvard University, Cambridge, MA, USA.Jean-Pierre Serre, College de France, Paris, France.

• Part II: Problem 9: The general reciprocity law by J. TateRelations between $K_2$ and Galois cohomology by J. TateLocal constants by J. T. TateOn the torsion in $K_2$ of fields by J. TateFields medals (IV): An instinct for the key idea by J. TateA simple proof of the main theorem of elimination theory in algebraic geometry by P. Cartier and J. TateNumber theoretic background by J. TateThe Harish-Satake transform on $GL_r$ by J. TateBrumer-Stark-Stickelberger by J. TateOn conjugation of abelian varieties of CM type by J. TateOn Stark's conjectures on the behavior of $L(s,\chi)$ at $s=0$ by J. TateVariation of the canonical height of a point depending on a parameter by J. TateA reciprocity law for $K_2$-traces by S. Rosset and J. TateCanonical height pairings via Biextensions by B. Mazur and J. TateOn $p$-adic analogues of the conjectures of Birch and Swinnerton-Dyer by B. Mazur, J. Tate, and J. TeitelbaumRefined conjectures of the ``Birch and Swinnerton-Dyer type'' by B. Mazur and J. TateCommentary on algebra by B. Gross and J. TateSome algebras associated to automorphisms of elliptic curves by M. Artin, J. Tate, and M. Van den BerghThe $p$-adic sigma function by B. Mazur and J. TateQuantum deformations of $GL_n$ by M. Artin, W. Schelter, and J. TateModules over regular algebras of dimension 3 by M. Artin, J. Tate, and M. Van den BerghConjectures on algebraic cycles in $\ell$-adic cohomology by J. TateThe center of the 3-dimensional and 4-dimensional Sklyanin algebras by S. P. Smith and J. TateThe non-existence of certain Galois extensions of $\mathbb{Q}$ unramified outside 2 by J. TateThe centers of 3-dimensional Sklyanin algebras by M. Artin, W. Schelter, and J. TateA review of non-Archimedean elliptic functions by J. TateHomological properties of Sklyanin algebras by J. Tate and M. Van den BerghLinear forms in $p$-adic roots of unity by J. Tate and J. F. VolochFinite flat group schemes by J. TateBernard Dwork (1923-1998) by N. M. Katz and J. TateGalois cohomology by J. TateOn a conjecture of Finotti by J. TateRefining Gross's conjecture on the values of abelian $L$-functions by J. TateOn the Jacobians of plane cubics by M. Artin, F. Rodriguez-Villegas, and J. TateComputation of $p$-adic heights and log convergence by B. Mazur, W. Stein, and J. TateLetters by J. Tate