Arithmetic noncommutative geometry:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2005]
|
| Schriftenreihe: | University lecture series
Volume 36 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014167301&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | xi, 136 Seiten Diagramme |
| ISBN: | 0821838334 9780821838334 |
Internformat
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| 245 | 1 | 0 | |a Arithmetic noncommutative geometry |c Matilde Marcolli. With a foreword by Yuri Manin |
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| 650 | 4 | |a Géométrie différentielle non commutative | |
| 650 | 4 | |a Noncommutative differential geometry | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 940-36 |
|---|---|
| DE-BY-TUM_katkey | 1870094 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040071422109 |
| _version_ | 1821934614796566528 |
| adam_text | Contents
Foreword ix
Chapter 1. Ouverture 1
1. The NCG dictionary 3
2. Noncommutative spaces 4
3. Spectral triples 6
4. Why noncommutative geometry? 12
Chapter 2. Noncommutative modular curves 15
1. Modular curves 15
2. The noncommutative boundary of modular curves 22
3. Limiting modular symbols 27
4. Hecke eigenforms 38
5. Selberg zeta function 41
6. The modular complex and X theory of C* algebras 42
7. Intermezzo: chaotic cosmology 44
Chapter 3. Quantum statistical mechanics and Galois theory 51
1. Quantum statistical mechanics 53
2. The Bost Connes system 56
3. Noncommutative geometry and Hilbert s 12th problem 61
4. The GL2 system 64
5. Quadratic fields 70
Chapter 4. Noncommutative geometry at arithmetic infinity 81
1. Schottky uniformization 81
2. Dynamics and noncommutative geometry 88
3. Arithmetic infinity: archimedean primes 93
4. Arakelov geometry and hyperbolic geometry 97
5. Intermezzo: quantum gravity and black holes 100
6. Dual graph and noncommutative geometry 105
7. Arithmetic varieties and L factors 109
8. Archimedean cohomology 115
Chapter 5. Vistas 125
Bibliography 131
vii
|
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| author | Marcolli, Matilde 1969- |
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| ctrlnum | (OCoLC)60590122 (DE-599)BVBBV020845503 |
| dewey-full | 516.3/6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/6 |
| dewey-search | 516.3/6 |
| dewey-sort | 3516.3 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV020845503 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T12:24:21Z |
| institution | BVB |
| isbn | 0821838334 9780821838334 |
| language | English |
| lccn | 2005047833 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014167301 |
| oclc_num | 60590122 |
| open_access_boolean | |
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| owner_facet | DE-355 DE-BY-UBR DE-83 DE-11 DE-91G DE-BY-TUM |
| physical | xi, 136 Seiten Diagramme |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | University lecture series |
| series2 | University lecture series |
| spellingShingle | Marcolli, Matilde 1969- Arithmetic noncommutative geometry University lecture series Géométrie différentielle non commutative Noncommutative differential geometry Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd |
| subject_GND | (DE-588)4311174-9 |
| title | Arithmetic noncommutative geometry |
| title_auth | Arithmetic noncommutative geometry |
| title_exact_search | Arithmetic noncommutative geometry |
| title_full | Arithmetic noncommutative geometry Matilde Marcolli. With a foreword by Yuri Manin |
| title_fullStr | Arithmetic noncommutative geometry Matilde Marcolli. With a foreword by Yuri Manin |
| title_full_unstemmed | Arithmetic noncommutative geometry Matilde Marcolli. With a foreword by Yuri Manin |
| title_short | Arithmetic noncommutative geometry |
| title_sort | arithmetic noncommutative geometry |
| topic | Géométrie différentielle non commutative Noncommutative differential geometry Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd |
| topic_facet | Géométrie différentielle non commutative Noncommutative differential geometry Nichtkommutative Differentialgeometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014167301&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004153846 |
| work_keys_str_mv | AT marcollimatilde arithmeticnoncommutativegeometry AT maninjuriji arithmeticnoncommutativegeometry |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 940-36 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |