Emil Artin and beyond - class field theory and L-functions:
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| Main Authors: | , |
|---|---|
| Other Authors: | , |
| Format: | Book |
| Language: | English |
| Published: |
Zürich
European Mathematical Society
[2015]
|
| Series: | Heritage of European mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xiii, 231 Seiten Illustrationen |
| ISBN: | 9783037191460 |
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MARC
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Record in the Search Index
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Contents
Preface v
Acknowledgements x
I Class field theory: From Artin’s course in Hamburg to Chevalley’s
“Elements ideaux” 1
Claude Chevalley’s thesis on class field theory and his notion of
“Elements ideaux”. 3
Introduction. 3
1 The quest for reciprocity laws . 5
2 Interlude: Global versus local . 9
3 Class field theory ֊ up to 1931. 11
4 Chevalley’s thesis. 14
5 A letter from C. Chevalley to H. Hasse, June 20, 1935 . 18
6 Chevalley’s paper “La theorie du corps de classes'* of 1940 and beyond 22
Letter from Claude Chevalley to Helmut Hasse, June 20, 1935 . 25
Letter from Helmut Hasse to Claude Chevalley, June 28, 1935 . 35
II Creating a life: Emil Artin in America 39
Emigration, immigration and pre-remigration. 41
Introduction. 41
1 Emigration to America. 41
2 American mathematics, circa 1937 . 44
3 At the University of Notre Dame. 46
4 Indiana University . 48
5 Princeton University . 50
6 Concluding thoughts. 53
Letter from Solomon Lefschetz to Father John O’Hara, January 12, 1937 55
III The collaboration of Emil Artin and George Whaples 57
The work of Artin and Whaples ֊ a conceptual breakthrough in algebraic
number theory. 59
Introduction. 59
1 Courses in class field theory in 1931/32 . 59
2 Artin and Whaples . 60
Contents
Xll
3 Joint papers of Artin and Whaples. 62
4 Whaples on his “own feet”. 67
5 Beyond the work of Artin and Whaples . 69
George Whaples’ application to the Institute for Advanced Study,
School of Mathematics, Princeton, N. J., February 10, 1941. 73
IV Margaret Matchett: Artin’s student at Indiana and her thesis 77
Margaret Matchett and her thesis “On the zeta function for ideles” . 79
Introduction. 79
1 Towards a biography of Margaret Matchett. 79
2 A brief overview of zeta functions and Hecke L-series. 84
3 The thesis “On the zeta function for ideles”. 89
Margaret Matchett’s Doctoral Dissertation “On the zeta function for ideles” 99
V L -functions by James W. Cogdell 127
L-functions and non-abelian class field theory, from Artin to Langlands 129
Introduction. 129
1 L-functions before Artin.130
2 Artin L-functions. 136
3 A Hecke interlude. 150
4 A historical interlude. 152
5 Artin and Hecke reconciled: The Langlands program.153
6 Functoriality .158
VI Automorphic L-functions by Robert P. Langlands 163
Letter from Robert Langlands to Andre Weil, January 1967 . 165
Funktorialität in der Theorie der automorphen Formen:
Ihre Entdeckung und ihre Ziele.175
Einführung .175
1 Jugenderinnerungen.175
2 Yale University.180
3 Princeton.182
4 Kalifornien. 187
5 Wieder Princeton.188
6 Der Brief. 192
7 Yale und Bonn. 199
8 Das Institute for Advanced Study.204
9 Die Mathematik als Zugang zur geistigen Welt .209
Contents
Photo credits
Bibliography
Index
xiii
211
213
229 |
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| indexdate | 2024-09-17T14:07:44Z |
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| isbn | 9783037191460 |
| language | English |
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| spelling | Dumbaugh, Della Verfasser (DE-588)1073229955 aut Emil Artin and beyond - class field theory and L-functions Della Dumbaugh, Joachim Schwermer ; with contributions by James Cogdell and Robert Langlands Zürich European Mathematical Society [2015] © 2015 xiii, 231 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Heritage of European mathematics Artin, Emil 1898-1962 (DE-588)119045125 gnd rswk-swf Klassenkörpertheorie (DE-588)4030951-4 gnd rswk-swf Artin, Emil 1898-1962 (DE-588)119045125 p Klassenkörpertheorie (DE-588)4030951-4 s DE-604 Schwermer, Joachim 1950- Verfasser (DE-588)109114957 aut Cogdell, James W. 1953- (DE-588)130465259 ctb Langlands, Robert 1936- (DE-588)172217431 ctb Erscheint auch als Online-Ausgabe 978-3-03719-646-5 (DE-604)BV042488261 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027764054&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dumbaugh, Della Schwermer, Joachim 1950- Emil Artin and beyond - class field theory and L-functions Artin, Emil 1898-1962 (DE-588)119045125 gnd Klassenkörpertheorie (DE-588)4030951-4 gnd |
| subject_GND | (DE-588)119045125 (DE-588)4030951-4 |
| title | Emil Artin and beyond - class field theory and L-functions |
| title_auth | Emil Artin and beyond - class field theory and L-functions |
| title_exact_search | Emil Artin and beyond - class field theory and L-functions |
| title_full | Emil Artin and beyond - class field theory and L-functions Della Dumbaugh, Joachim Schwermer ; with contributions by James Cogdell and Robert Langlands |
| title_fullStr | Emil Artin and beyond - class field theory and L-functions Della Dumbaugh, Joachim Schwermer ; with contributions by James Cogdell and Robert Langlands |
| title_full_unstemmed | Emil Artin and beyond - class field theory and L-functions Della Dumbaugh, Joachim Schwermer ; with contributions by James Cogdell and Robert Langlands |
| title_short | Emil Artin and beyond - class field theory and L-functions |
| title_sort | emil artin and beyond class field theory and l functions |
| topic | Artin, Emil 1898-1962 (DE-588)119045125 gnd Klassenkörpertheorie (DE-588)4030951-4 gnd |
| topic_facet | Artin, Emil 1898-1962 Klassenkörpertheorie |
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