Period domains over finite and p-adic fields:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge ; New York ; Melborurne , Madrid ; Cap Town ; Singapore ; Sao Paulo ; Delhi ; Dubai ; Tokyo ; Mexiko City
Cambridge University Press
2010
|
| Series: | Cambridge tracts in mathematics
183 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverzeichnis: Seite 358 - 368 |
| Physical Description: | xxii, 372 Seiten Diagramme |
| ISBN: | 9780521197694 |
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MARC
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| 100 | 1 | |a Dat, Jean-François |e Verfasser |0 (DE-588)142122114 |4 aut | |
| 245 | 1 | 0 | |a Period domains over finite and p-adic fields |c Jean-François Dat ; Sascha Orlik ; Michael Rapoport |
| 264 | 1 | |a Cambridge ; New York ; Melborurne , Madrid ; Cap Town ; Singapore ; Sao Paulo ; Delhi ; Dubai ; Tokyo ; Mexiko City |b Cambridge University Press |c 2010 | |
| 264 | 4 | |c © 2010 | |
| 300 | |a xxii, 372 Seiten |b Diagramme | ||
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| 337 | |b n |2 rdamedia | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
page vii
Introduction
xi
Part
1
Period Domains for GLn over Finite Fields
I. Filtered Vector Spaces
3
1
Filtrations
3
2
The tensor product theorem
13
3
The Harder-Narasimhan filtration
23
II. Period Domains for GLn
31
1
Definition and examples
31
2
The relation to GIT
35
3
The Harder-Narasimhan stratification
41
4
Period domains over Fj and thin cells
51
III. Cohomology of Period Domains for
GL„
65
1
The
Langlands
Lemma
66
2
The generalized Steinberg representations
72
3
The
Euler-Poincaré
characteristic
81
Part
2
Period Domains for Reductive Groups over Finite Fields
IV. Interlude on the Tannakian Formausm
105
1
Tensor categories
105
2
Gradings and filtrations
115
V. Filtrations on Rept(G)
125
1
Slopes
126
2
Semi-stability
128
3
The Harder-Narasimhan filtration
132
VI. Period Domains tor Reductive Groups
137
1
Definitions
137
vi
Contents
2
The relation to GIT
144
3
The Harder-Narasimhan stratification
149
VII. Cohomology
of Period Domains for Reductive Groups
161
1
The
Langlands
Lemma and generalized Steinberg repre¬
sentations
161
2
The
Euler-Poincaré
characteristic
170
Part
3
Period Domains over p-adic Fields
VIII.
Period Domains over p-xmc Fields
189
1
Filtered isocrystals
189
2
Period domains for
GL„ 195
3
The Harder-Narasimhan stratification
205
4
The relation to GIT
213
5
Isocrystals with coefficients
215
IX. Period Domains for p-ADic Reductive Groups
221
1
C-isocrystals and group schemes over
Isoc(L)
221
2
Filtrations on
ω°
239
3
Automorphism groups and decency
251
4
Structure of X»(G)q/G for a reductive a.g.s.
259
5
Period domains
271
6
The Harder-Narasimhan stratification
277
7
Relation to GIT
292
8
G-isocrystals with coefficients
293
X. Cohomology of Period Domains over
¿»-adic
Fields
303
1
Generalized Steinberg representations
303
2
Compactly supported
¿ -adic
cohomology of strata
306
3
The
Euler-Poincaré
characteristic in the basic case
310
Part
4
Complements
XI. Further Aspects of Period Domains
319
1
The fundamental complex
319
2
The relation to Deligne-Lusztig varieties
325
3
The Drinfeld space for a p-adic field
334
4
Local systems on p-adic period domains
339
5
The cohomology complex of
p-aâic
period domains
348
References
358
Index
369
|
| any_adam_object | 1 |
| author | Dat, Jean-François Orlik, Sascha 1971- Rapoport, Michael 1948- |
| author_GND | (DE-588)142122114 (DE-588)121362604 (DE-588)140462945 |
| author_facet | Dat, Jean-François Orlik, Sascha 1971- Rapoport, Michael 1948- |
| author_role | aut aut aut |
| author_sort | Dat, Jean-François |
| author_variant | j f d jfd s o so m r mr |
| building | Verbundindex |
| bvnumber | BV036608605 |
| classification_rvk | SK 240 |
| classification_tum | MAT 144f MAT 123f |
| ctrlnum | (OCoLC)845812443 (DE-599)OBVAC08182956 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV036608605 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:44:05Z |
| institution | BVB |
| isbn | 9780521197694 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020528945 |
| oclc_num | 845812443 |
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| physical | xxii, 372 Seiten Diagramme |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spelling | Dat, Jean-François Verfasser (DE-588)142122114 aut Period domains over finite and p-adic fields Jean-François Dat ; Sascha Orlik ; Michael Rapoport Cambridge ; New York ; Melborurne , Madrid ; Cap Town ; Singapore ; Sao Paulo ; Delhi ; Dubai ; Tokyo ; Mexiko City Cambridge University Press 2010 © 2010 xxii, 372 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics 183 Literaturverzeichnis: Seite 358 - 368 Galois-Feld (DE-588)4155896-0 gnd rswk-swf p-adischer Körper (DE-588)4634596-6 gnd rswk-swf Galois-Feld (DE-588)4155896-0 s p-adischer Körper (DE-588)4634596-6 s DE-604 Orlik, Sascha 1971- Verfasser (DE-588)121362604 aut Rapoport, Michael 1948- Verfasser (DE-588)140462945 aut Erscheint auch als Online-Ausgabe 978-0-511-76248-2 Cambridge tracts in mathematics 183 (DE-604)BV000000001 183 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020528945&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dat, Jean-François Orlik, Sascha 1971- Rapoport, Michael 1948- Period domains over finite and p-adic fields Cambridge tracts in mathematics Galois-Feld (DE-588)4155896-0 gnd p-adischer Körper (DE-588)4634596-6 gnd |
| subject_GND | (DE-588)4155896-0 (DE-588)4634596-6 |
| title | Period domains over finite and p-adic fields |
| title_auth | Period domains over finite and p-adic fields |
| title_exact_search | Period domains over finite and p-adic fields |
| title_full | Period domains over finite and p-adic fields Jean-François Dat ; Sascha Orlik ; Michael Rapoport |
| title_fullStr | Period domains over finite and p-adic fields Jean-François Dat ; Sascha Orlik ; Michael Rapoport |
| title_full_unstemmed | Period domains over finite and p-adic fields Jean-François Dat ; Sascha Orlik ; Michael Rapoport |
| title_short | Period domains over finite and p-adic fields |
| title_sort | period domains over finite and p adic fields |
| topic | Galois-Feld (DE-588)4155896-0 gnd p-adischer Körper (DE-588)4634596-6 gnd |
| topic_facet | Galois-Feld p-adischer Körper |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020528945&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000001 |
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