Galois cohomology of reductive groups over global fields / Mikhail Borovoi, Tasho Kaletha, Vladimir Hinich.

Format:

Book

Author/Creator:

Borovoi, Mikhail, 1951- author.

Kaletha, Tasho, author.

Hinich, Vladimir, author.

Series:

Memoirs of the American Mathematical Society ; v. 1621.

Memoirs of the American Mathematical Society, 0065-9266 ; number 1621

Language:

English

Subjects (All):

Galois cohomology.

Algebra, Homological.

Physical Description:

vii, 110 pages ; 26 cm.

Place of Publication:

Providence. RI : American Mathematical Society, 2026.

Contents:

Chapter 1. Introduction

Chapter 2. Tate cohomology of bounded complexes

Chapter 3. The Tate-Nakayama isomorphism for bounded complexes of tori

Chapter 4. Absolute Galois cohomology in a special case

Chapter 5. Galois cohomology of reductive groups

Chapter 6. Explicit computations of Galois cohomology

Chapter 7. Computations with Tate-Shafarevich kernels

Appendix A. A long exact sequence containing BT, Tors

Appendix B. H¹ for a crossed module

Appendix C. Duality

Appendix D. Fiber product

Appendix E. Cheat sheet on Tate cohomology

Bibliography.

Notes:

"March 2026, volume 319, number 1621 (first of 6 numbers)."

Includes bibliographical references.

ISBN:

1470480468

9781470480462

OCLC:

1593997056