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p-adic geometry: lectures from the 2007 Arizona Winter School

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Bibliographic Details
Main Authors:	Baker, Matthew 1973- (Author), Conrad, Brian 1970- (Author), Dasgupta, Samit (Author), Kedlaya, Kiran Sridhara 1974- (Author), Teitelbaum, Jeremy (Author)
Other Authors:	Savitt, David (Editor), Thakur, Dinesh S. 1961- (Editor)
Format:	Conference Proceeding Book
Language:	English
Published:	Providence, Rhode Island American Mathematical Society [2008]
Series:	University lecture series Volume 45
Subjects:	Arithmetical algebraic geometry > Congresses p-adic analysis > Congresses Geometry, Algebraic > Congresses p-adische Analysis Arithmetische Geometrie Tucson, Ariz. Konferenzschrift > 2007 > Tucson, Ariz.
Online Access:	Inhaltsverzeichnis
Physical Description:	xii, 203 Seiten Diagramme
ISBN:	9780821844687

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MARC


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Record in the Search Index

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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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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 p-adische Analysis (DE-588)4252360-6 gnd rswk-swf Arithmetische Geometrie (DE-588)4131383-5 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 https://bvbr.bib-bvb.de:443/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 p-adische Analysis (DE-588)4252360-6 gnd Arithmetische Geometrie (DE-588)4131383-5 gnd
subject_GND	(DE-588)4252360-6 (DE-588)4131383-5 (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 p-adische Analysis (DE-588)4252360-6 gnd Arithmetische Geometrie (DE-588)4131383-5 gnd
topic_facet	Arithmetical algebraic geometry Congresses p-adic analysis Congresses Geometry, Algebraic Congresses p-adische Analysis Arithmetische Geometrie Tucson, Ariz. Konferenzschrift 2007 Tucson, Ariz.
url	https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016762919&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV004153846
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