Arithmetic noncommutative geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2005]
|
| Schriftenreihe: | University lecture series
Volume 36 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xi, 136 Seiten Diagramme |
| ISBN: | 0821838334 9780821838334 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV020845503 | ||
| 003 | DE-604 | ||
| 005 | 20230821 | ||
| 007 | t | ||
| 008 | 051026s2005 xxu|||| |||| 00||| eng d | ||
| 010 | |a 2005047833 | ||
| 020 | |a 0821838334 |9 0-8218-3833-4 | ||
| 020 | |a 9780821838334 |9 978-0-8218-3833-4 | ||
| 035 | |a (OCoLC)60590122 | ||
| 035 | |a (DE-599)BVBBV020845503 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-355 |a DE-83 |a DE-11 |a DE-91G | ||
| 050 | 0 | |a QA641 | |
| 082 | 0 | |a 516.3/6 |2 22 | |
| 084 | |a SI 165 |0 (DE-625)143085: |2 rvk | ||
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 084 | |a 58B34 |2 msc | ||
| 100 | 1 | |a Marcolli, Matilde |d 1969- |e Verfasser |0 (DE-588)141750545 |4 aut | |
| 245 | 1 | 0 | |a Arithmetic noncommutative geometry |c Matilde Marcolli. With a foreword by Yuri Manin |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2005] | |
| 264 | 4 | |c © 2005 | |
| 300 | |a xi, 136 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a University lecture series |v Volume 36 | |
| 650 | 4 | |a Géométrie différentielle non commutative | |
| 650 | 4 | |a Noncommutative differential geometry | |
| 650 | 0 | 7 | |a Nichtkommutative Differentialgeometrie |0 (DE-588)4311174-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtkommutative Differentialgeometrie |0 (DE-588)4311174-9 |D s |
| 689 | 0 | |C b |5 DE-604 | |
| 700 | 1 | |a Manin, Jurij I. |d 1937-2023 |0 (DE-588)121177580 |4 wpr | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-2181-6 |
| 830 | 0 | |a University lecture series |v Volume 36 |w (DE-604)BV004153846 |9 36 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-014167301 | ||
Datensatz im Suchindex
| _version_ | 1804134555943174144 |
|---|---|
| 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
|
| adam_txt |
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 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Marcolli, Matilde 1969- |
| author_GND | (DE-588)141750545 (DE-588)121177580 |
| author_facet | Marcolli, Matilde 1969- |
| author_role | aut |
| author_sort | Marcolli, Matilde 1969- |
| author_variant | m m mm |
| building | Verbundindex |
| bvnumber | BV020845503 |
| callnumber-first | Q - Science |
| callnumber-label | QA641 |
| callnumber-raw | QA641 |
| callnumber-search | QA641 |
| callnumber-sort | QA 3641 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 165 SK 370 |
| 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 |
| discipline_str_mv | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01927nam a2200481 cb4500</leader><controlfield tag="001">BV020845503</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230821 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">051026s2005 xxu|||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2005047833</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821838334</subfield><subfield code="9">0-8218-3833-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821838334</subfield><subfield code="9">978-0-8218-3833-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)60590122</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV020845503</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-91G</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA641</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/6</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 165</subfield><subfield code="0">(DE-625)143085:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">58B34</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Marcolli, Matilde</subfield><subfield code="d">1969-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)141750545</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Arithmetic noncommutative geometry</subfield><subfield code="c">Matilde Marcolli. With a foreword by Yuri Manin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, Rhode Island</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">[2005]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xi, 136 Seiten</subfield><subfield code="b">Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">University lecture series</subfield><subfield code="v">Volume 36</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Géométrie différentielle non commutative</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Noncommutative differential geometry</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtkommutative Differentialgeometrie</subfield><subfield code="0">(DE-588)4311174-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nichtkommutative Differentialgeometrie</subfield><subfield code="0">(DE-588)4311174-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="C">b</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Manin, Jurij I.</subfield><subfield code="d">1937-2023</subfield><subfield code="0">(DE-588)121177580</subfield><subfield code="4">wpr</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-1-4704-2181-6</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">University lecture series</subfield><subfield code="v">Volume 36</subfield><subfield code="w">(DE-604)BV004153846</subfield><subfield code="9">36</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-014167301</subfield></datafield></record></collection> |
| id | DE-604.BV020845503 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T13:18:12Z |
| indexdate | 2024-07-09T20:26:29Z |
| 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 | |
| owner | DE-355 DE-BY-UBR DE-83 DE-11 DE-91G DE-BY-TUM |
| 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 |
| spelling | Marcolli, Matilde 1969- Verfasser (DE-588)141750545 aut Arithmetic noncommutative geometry Matilde Marcolli. With a foreword by Yuri Manin Providence, Rhode Island American Mathematical Society [2005] © 2005 xi, 136 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier University lecture series Volume 36 Géométrie différentielle non commutative Noncommutative differential geometry Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd rswk-swf Nichtkommutative Differentialgeometrie (DE-588)4311174-9 s b DE-604 Manin, Jurij I. 1937-2023 (DE-588)121177580 wpr Erscheint auch als Online-Ausgabe 978-1-4704-2181-6 University lecture series Volume 36 (DE-604)BV004153846 36 HBZ Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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_exact_search_txtP | 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 |