Emil Artin and Beyond – Class Field Theory and $L$-Functions (Record no. 50480)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03497nam a22004095a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783037196465 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Dumbaugh, Della, |
| 245 10 - TITLE STATEMENT | |
| Title | Emil Artin and Beyond – Class Field Theory and $L$-Functions |
| Statement of responsibility, etc | Della Dumbaugh, Joachim Schwermer |
| 260 3# - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Zuerich, Switzerland : |
| Name of publisher | European Mathematical Society Publishing House, |
| Year of publication | 2015 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (245 pages) |
| 490 0# - SERIES STATEMENT | |
| Series statement | Heritage of European Mathematics (HEM) |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. Claude Chevalley’s presence in Artin’s 1931 Hamburg lectures on class field theory serves as the starting point for this volume. From there, it is traced how class field theory advanced in the 1930s and how Artin’s contributions influenced other mathematicians at the time and in subsequent years. Given the difficult political climate and his forced emigration as it were, the question of how Artin created a life in America within the existing institutional framework, and especially of how he continued his education of and close connection with graduate students, is considered. In particular, Artin’s collaboration in algebraic number theory with George Whaples and his student Margaret Matchett’s thesis work “On the zeta-function for ideles” in the 1940s are investigated. A (first) study of the influence of Artin on present day work on a non-abelian class field theory finishes the book. 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 Chevalley to Helmut Hasse in 1935 is included, where he introduces the notion of ideles and explores their significance, along with the previously unpublished thesis by Matchett and the seminal letter of Langlands to André Weil of 1967 where he lays out his ideas regarding a non-abelian class field theory.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).... |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | History of mathematics |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | History and biography |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Number theory |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Dumbaugh, Della, |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Schwermer, Joachim, |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.4171/146 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.ems-ph.org/img/books/schwermer_mini.jpg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Zuerich, Switzerland : |
| -- | European Mathematical Society Publishing House, |
| -- | 2015 |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK13856 | https://doi.org/10.4171/146 | E-BOOKS |