p-adic geometry: lectures from the 2007 Arizona Winter School
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Weitere Verfasser: | , |
| Format: | Tagungsbericht Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2008]
|
| Schriftenreihe: | University lecture series
Volume 45 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xii, 203 Seiten Diagramme |
| ISBN: | 9780821844687 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804138053736857600 |
|---|---|
| adam_text | Contents
Preface
vii
Foreword
John Tate
ix
Non-archimedean
analytic geometry: first steps
Vladimir Berkovich 1
Chapter
1.
Several approaches to non-archimedean geometry
Brian Conrad
9
Introduction
9
1.
Arfinoid algebras
10
2.
Global rigid-analytic spaces
15
3.
Coherent sheaves and Raynaud s theory
30
4.
Berkovich spaces I
43
5.
Berkovich spaces II
52
Bibliography
63
Chapter
2.
The p-adic upper half plane
Samit Dasgupta and Jeremy Teitelbaum
65
Introduction
65
1.
Geometry of the p-adic upper half plane
66
2.
Boundary distributions and integrals
75
3.
¿-invariants and modular symbols
89
4.
Breuil duality and p-adic
Langlands
theory
106
Bibliography
119
Chapter
3.
An introduction to Berkovich analytic spaces and
non-archimedean potential theory on curves
Matthew Baker
123
Introduction
123
1.
The Berkovich
projective
line
125
2.
Further examples of Berkovich analytic spaces
134
3.
Harmonic functions
141
4.
Laplacians
150
5.
Introduction to potential theory on Berkovich curves
164
Bibliography
173
vi
CONTENTS
Chapter
4.
p-adic cohomology: from theory to practice
KlRAN S. Kedlaya
175
Introduction
175
1.
Algebraic
de
Rham cohomology
175
2.
Erobenius actions on
de Rham
cohomology
189
3.
Gauss-Manin connections
193
4.
Beyond good reduction
199
Bibliography
201
|
| adam_txt |
Contents
Preface
vii
Foreword
John Tate
ix
Non-archimedean
analytic geometry: first steps
Vladimir Berkovich 1
Chapter
1.
Several approaches to non-archimedean geometry
Brian Conrad
9
Introduction
9
1.
Arfinoid algebras
10
2.
Global rigid-analytic spaces
15
3.
Coherent sheaves and Raynaud's theory
30
4.
Berkovich spaces I
43
5.
Berkovich spaces II
52
Bibliography
63
Chapter
2.
The p-adic upper half plane
Samit Dasgupta and Jeremy Teitelbaum
65
Introduction
65
1.
Geometry of the p-adic upper half plane
66
2.
Boundary distributions and integrals
75
3.
¿-invariants and modular symbols
89
4.
Breuil duality and p-adic
Langlands
theory
106
Bibliography
119
Chapter
3.
An introduction to Berkovich analytic spaces and
non-archimedean potential theory on curves
Matthew Baker
123
Introduction
123
1.
The Berkovich
projective
line
125
2.
Further examples of Berkovich analytic spaces
134
3.
Harmonic functions
141
4.
Laplacians
150
5.
Introduction to potential theory on Berkovich curves
164
Bibliography
173
vi
CONTENTS
Chapter
4.
p-adic cohomology: from theory to practice
KlRAN S. Kedlaya
175
Introduction
175
1.
Algebraic
de
Rham cohomology
175
2.
Erobenius actions on
de Rham
cohomology
189
3.
Gauss-Manin connections
193
4.
Beyond good reduction
199
Bibliography
201 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Conference Proceeding Book |
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| spelling | Baker, Matthew 1973- Verfasser (DE-588)136700748 aut p-adic geometry lectures from the 2007 Arizona Winter School Matthew Baker, Brian Conrad, Samit Dasgupta, Kiran S. Kedlaya, Jeremy Teitelbaum ; Edited by David Savitt, Dinesh S. Thakur Providence, Rhode Island American Mathematical Society [2008] © 2008 xii, 203 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier University lecture series Volume 45 Arithmetical algebraic geometry Congresses p-adic analysis Congresses Geometry, Algebraic Congresses Arithmetische Geometrie (DE-588)4131383-5 gnd rswk-swf p-adische Analysis (DE-588)4252360-6 gnd rswk-swf Tucson, Ariz. (DE-588)4119735-5 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2007 Tucson, Ariz. gnd-content Arithmetische Geometrie (DE-588)4131383-5 s p-adische Analysis (DE-588)4252360-6 s Tucson, Ariz. (DE-588)4119735-5 g DE-604 Conrad, Brian 1970- Verfasser (DE-588)122429206 aut Dasgupta, Samit Verfasser aut Kedlaya, Kiran Sridhara 1974- Verfasser (DE-588)141747633 aut Teitelbaum, Jeremy Verfasser aut Savitt, David edt Thakur, Dinesh S. 1961- (DE-588)1146582536 edt Arizona Winter School 10 2007 Tucson, Ariz. Sonstige (DE-588)6075601-9 oth Erscheint auch als Online-Ausgabe 978-1-4704-1836-6 University lecture series Volume 45 (DE-604)BV004153846 45 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016762919&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baker, Matthew 1973- Conrad, Brian 1970- Dasgupta, Samit Kedlaya, Kiran Sridhara 1974- Teitelbaum, Jeremy p-adic geometry lectures from the 2007 Arizona Winter School University lecture series Arithmetical algebraic geometry Congresses p-adic analysis Congresses Geometry, Algebraic Congresses Arithmetische Geometrie (DE-588)4131383-5 gnd p-adische Analysis (DE-588)4252360-6 gnd |
| subject_GND | (DE-588)4131383-5 (DE-588)4252360-6 (DE-588)4119735-5 (DE-588)1071861417 |
| title | p-adic geometry lectures from the 2007 Arizona Winter School |
| title_auth | p-adic geometry lectures from the 2007 Arizona Winter School |
| title_exact_search | p-adic geometry lectures from the 2007 Arizona Winter School |
| title_exact_search_txtP | p-adic geometry lectures from the 2007 Arizona Winter School |
| title_full | p-adic geometry lectures from the 2007 Arizona Winter School Matthew Baker, Brian Conrad, Samit Dasgupta, Kiran S. Kedlaya, Jeremy Teitelbaum ; Edited by David Savitt, Dinesh S. Thakur |
| title_fullStr | p-adic geometry lectures from the 2007 Arizona Winter School Matthew Baker, Brian Conrad, Samit Dasgupta, Kiran S. Kedlaya, Jeremy Teitelbaum ; Edited by David Savitt, Dinesh S. Thakur |
| title_full_unstemmed | p-adic geometry lectures from the 2007 Arizona Winter School Matthew Baker, Brian Conrad, Samit Dasgupta, Kiran S. Kedlaya, Jeremy Teitelbaum ; Edited by David Savitt, Dinesh S. Thakur |
| title_short | p-adic geometry |
| title_sort | p adic geometry lectures from the 2007 arizona winter school |
| title_sub | lectures from the 2007 Arizona Winter School |
| topic | Arithmetical algebraic geometry Congresses p-adic analysis Congresses Geometry, Algebraic Congresses Arithmetische Geometrie (DE-588)4131383-5 gnd p-adische Analysis (DE-588)4252360-6 gnd |
| topic_facet | Arithmetical algebraic geometry Congresses p-adic analysis Congresses Geometry, Algebraic Congresses Arithmetische Geometrie p-adische Analysis Tucson, Ariz. Konferenzschrift 2007 Tucson, Ariz. |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016762919&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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