EMS Heritage of European Mathematics
Volume: 9; 2015; 245 pp; Hardcover
MSC: Primary 01; 11;
Print ISBN: 978-3-03719-146-0
Product Code: EMSHEM/9
List Price: $76.00
AMS Member Price: $60.80

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Emil Artin and Beyond—Class Field Theory and $L$-Functions

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Della Dumbaugh; Joachim Schwermer

A publication of the European Mathematical Society

This book explores the development of number theory, and class field theory in particular, as it passed through the hands of Emil Artin, Claude Chevalley, and Robert Langlands in the middle of the twentieth century.

The volume consists of individual essays by the authors and two contributors, James Cogdell and Robert Langlands, and contains relevant archival material. Among these, the letter from Claude Chevalley to Helmut Hasse in 1935 is included, in which he introduces the notion of ideles and explores their significance, along with the previously unpublished thesis by Margaret Matchett and the seminal letter of Robert Langlands to André Weil of 1967 in which he lays out his ideas regarding a non-abelian class field theory. Taken together, these chapters offer a view of both the life of Artin in the 1930s and 1940s and the development of class field theory at that time. They also provide insight into the transmission of mathematical ideas, the careful steps required to preserve a life in mathematics at a difficult moment in history, and the interplay between mathematics and politics (in more ways than one).

Some of the technical points in this volume require a sophisticated understanding of algebra and number theory. The broader topics, however, will appeal to a wider audience that extends beyond mathematicians and historians of mathematics to include historically minded individuals, particularly those with an interest in the time period.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Readership

Graduate students and research mathematicians interested in number theory and $L$-functions.

Emil Artin and Beyond -- Class Field Theory and $L$-Functions

Base Product Code Keyword List: emshem; EMSHEM; emshem/9; EMSHEM/9; emshem-9; EMSHEM-9

Print Product Code: EMSHEM/9

Title (HTML): Emil Artin and Beyond—Class Field Theory and $L$-Functions

Author(s) (Product display): Della Dumbaugh; Joachim Schwermer

Affiliation(s) (HTML): University of Vienna, Austria

Publisher Blurb: A publication of the European Mathematical Society

Abstract:

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Book Series Name: EMS Heritage of European Mathematics

Volume: 9

Publication Month and Year: 2015-03-15

Page Count: 245

Cover Type: Hardcover

Print ISBN-13: 978-3-03719-146-0

Primary MSC: 01; 11

Textbook?: false

Applied Math?: false

MAA Book?: false

Electronic Media?: false

Apparel or Gift: false

Publisher (non-AMS): European Mathematical Society

SXG Subject: GI; NT

Print Price 1 Label: List

Print Price 1: 76.00

Print Price 2 Label: AMS Member

Print Price 2: 60.80

Print Add to Cart URL: /some/url/at/AMS/EMSHEM-9

Review Copy: https://www.ams.org/exam-desk-review-request?&pisbn=978-3-03719-146-0&ppc=EMSHEM/9&title=Emil%20Artin%20and%20Beyond%26mdash%3BClass%20Field%20Theory%20and%20%24L%24-Functions&author=Della%20Dumbaugh%3B%20Joachim%20Schwermer&type=R

Readership:

Graduate students and research mathematicians interested in number theory and $L$-functions.

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Emil Artin and Beyond—Class Field Theory and \(L\)-Functions

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Emil Artin and Beyond -- Class Field Theory and $L$-Functions