Higher Regulators, Algebraic $K$-Theory, and Zeta Functions of Elliptic Curves
Author:   Spencer J. Bloch
Publisher:   American Mathematical Society
Volume:   11
ISBN:  

9780821829738


Pages:   97
Publication Date:   30 July 2013
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
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Higher Regulators, Algebraic $K$-Theory, and Zeta Functions of Elliptic Curves


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Overview

This book is the long-awaited publication of the famous Irvine lectures. Delivered in 1978 at the University of California at Irvine, these lectures turned out to be an entry point to several intimately-connected new branches of arithmetic algebraic geometry, such as regulators and special values of L-functions of algebraic varieties, explicit formulas for them in terms of polylogarithms, the theory of algebraic cycles, and eventually the general theory of mixed motives which unifies and underlies all of the above (and much more). In the 20 years since, the importance of Bloch's lectures has not diminished. A lucky group of people working in the above areas had the good fortune to possess a copy of old typewritten notes of these lectures. Now everyone can have their own copy of this classic work. Titles in this series are co-published with the Centre de Recherches Mathématiques.

Full Product Details

Author:   Spencer J. Bloch
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   11
Weight:   0.217kg
ISBN:  

9780821829738


ISBN 10:   0821829734
Pages:   97
Publication Date:   30 July 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Introduction Tamagawa numbers Tamagawa numbers. Continued Continuous cohomology A theorem of Borel and its reformulation The regulator map. I The dilogarithm function The regulator map. II The regulator map and elliptic curves. I The regulator map and elliptic curves. II Elements in $K_2(E)$ of an elliptic curve $E$ A regulator formula Bibliography Index

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Spencer J. Bloch, University of Chicago, IL, USA

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