Automorphic forms and shimura varieties of PGSp(2):
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2005
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 324 S. |
| ISBN: | 9812564039 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV022255355 | ||
| 003 | DE-604 | ||
| 005 | 20070228 | ||
| 007 | t | ||
| 008 | 070205s2005 |||| 00||| eng d | ||
| 020 | |a 9812564039 |9 981-256-403-9 | ||
| 035 | |a (OCoLC)494443028 | ||
| 035 | |a (DE-599)BVBBV022255355 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-824 |a DE-11 | ||
| 050 | 0 | |a QA353.A9 | |
| 082 | 0 | |a 515.9 |2 22 | |
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 100 | 1 | |a Flicker, Yuval Z. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Automorphic forms and shimura varieties of PGSp(2) |c by Yuval Z FLicker |
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2005 | |
| 300 | |a XI, 324 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Formes automorphes | |
| 650 | 7 | |a Formes automorphes |2 ram | |
| 650 | 4 | |a Shimura, Variétés de | |
| 650 | 7 | |a Shimura, Variétés de |2 ram | |
| 650 | 4 | |a Automorphic forms | |
| 650 | 4 | |a Shimura varieties | |
| 650 | 0 | 7 | |a Symplektische Gruppe |0 (DE-588)4276585-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Shimura-Mannigfaltigkeit |0 (DE-588)4181143-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Projektive Gruppe |0 (DE-588)4175885-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Automorphe Form |0 (DE-588)4003972-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Automorphe Form |0 (DE-588)4003972-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Shimura-Mannigfaltigkeit |0 (DE-588)4181143-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Symplektische Gruppe |0 (DE-588)4276585-7 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Projektive Gruppe |0 (DE-588)4175885-7 |D s |
| 689 | 3 | |5 DE-604 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015466081&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-015466081 | ||
Datensatz im Suchindex
| _version_ | 1804136253208133632 |
|---|---|
| adam_text | AUTOMOFPHIC FORMS BY YUVAL Z FLICKER THE OHIO STATE UNIVERSITY, USA
WORLD SCIENTIFIC NEW JERSEY * LONDON * SINGAPORE * BEIJING * SHANGHAI *
HONG KONG * TAIPEI * CHENNAI CONTENTS PREFACE V ACKNOWLEDGMENT VII PART
1. LIFTING AUTOMORPHIC FORMS OF PGSP(2) TO PGL(4) 1 I. PRELIMINARIES 3
1. INTRODUCTION 3 2. STATEMENT OF RESULTS 4 3. CONJECTURAL COMPATIBILITY
28 4. CONJECTURAL RIGIDITY 30 II. BASIC FACTS 35 1. NORM MAPS 35 2.
INDUCED REPRESENTATIONS 39 3. SATAKE ISOMORPHISM 46 4. INDUCED
REPRESENTATIONS OF PGSP(2, F) 47 5. TWISTED CONJUGACY CLASSES 50 III.
TRACE FORMULAE 60 1. TWISTED TRACE FORMULA: GEOMETRIC SIDE 60 2. TWISTED
TRACE FORMULA: ANALYTIC SIDE 66 3. TRACE FORMULA OF H: SPECTRAL SIDE 73
4. TRACE FORMULA IDENTITY 78 IV. LIFTING FROM SO(4) TO PGL(4) 86 1. FROM
SO(4) TO PGL(4) 86 2. SYMMETRIC SQUARE 94 3. INDUCED CASE 97 4. CUSPIDAL
CASE 101 V. LIFTING FROM PGSP(2) TO PGL(4) 11 3 1. CHARACTERS ON THE
SYMPLECTIC GROUP 113 2. REDUCIBILITY 119 3. TRANSFER OF DISTRIBUTIONS
122 4. ORTHOGONALITY RELATIONS 129 X CONTENTS 5. CHARACTER RELATIONS 133
6. FINE CHARACTER RELATIONS 140 7. GENERIC REPRESENTATIONS OF PGSP(2)
148 8. LOCAL LIFTING FROM PGSP(2) 152 9. LOCAL PACKETS 160 10. GLOBAL
PACKETS 161 11., REPRESENTATIONS OF PGSP(2, R) 174 VI. FUNDAMENTAL LEMMA
182 1. CASE OF SL(2) 182 2. CASE OF GSP(2) 184 PART 2. ZETA FUNCTIONS OF
SHIMURA VARIETIES OF PGSP(2) 205 I. PRELIMINARIES 207 1. INTRODUCTION
207 2. STATEMENT OF RESULTS 209 3. THE ZETA FUNCTION 218 4. THE SHIMURA
VARIETY 222 5. DECOMPOSITION OF COHOMOLOGY 223 6. GALOIS REPRESENTATIONS
225 II. AUTOMORPHIC REPRESENTATIONS 227 1. STABILIZATION AND THE TEST
FUNCTION 227 2. AUTOMORPHIC REPRESENTATIONS OF PGSP(2) 229 3. LOCAL
PACKETS 231 4. MULTIPLICITIES 234 5. SPECTRAL SIDE OF THE STABLE TRACE
FORMULA 234 6. PROPER ENDOSCOPIC GROUP 236 III. LOCAL TERMS 238 1.
REPRESENTATIONS OF THE DUAL GROUP 238 2. LOCAL TERMS AT P 240 3. THE
EIGENVALUES AT P 245 4. TERMS AT P FOR THE ENDOSCOPIC GROUP 247 IV. REAL
REPRESENTATIONS 248 1. REPRESENTATIONS OF SL(2,R) 248 2. COHOMOLOGICAL
REPRESENTATIONS 249 CONTENTS XI 3. NONTEMPERED REPRESENTATIONS 251 4.
THE COHOMOLOGICAL L(VSGN, I - 1/2 7R 2 FC) 252 5. THE COHOMOLOGICAL L(^
1 / 2 7R 2FE+ I,^- 1/2 ) 254 6. FINITE DIMENSIONAL REPRESENTATIONS 255
7. LOCAL TERMS AT OO 256 V. GALOIS REPRESENTATIONS 258 1. TEMPERED CASE
258 2. NONTEMPERED CASE 262 PART 3. BACKGROUND 267 I. ON AUTOMORPHIC
FORMS 269 1. CLASS FIELD THEORY 269 2. REDUCTIVE GROUPS 275 3.
FUNCTORIALITY 280 4. UNRAMIFIED CASE 285 5. AUTOMORPHIC REPRESENTATIONS
288 6. RESIDUAL CASE 290 7. ENDOSCOPY 295 8. BASECHANGE 300 II. ON
ARTIN S CONJECTURE 303 REFERENCES 311 INDEX 321
|
| adam_txt |
AUTOMOFPHIC FORMS BY YUVAL Z FLICKER THE OHIO STATE UNIVERSITY, USA
'WORLD SCIENTIFIC NEW JERSEY * LONDON * SINGAPORE * BEIJING * SHANGHAI *
HONG KONG * TAIPEI * CHENNAI CONTENTS PREFACE V ACKNOWLEDGMENT VII PART
1. LIFTING AUTOMORPHIC FORMS OF PGSP(2) TO PGL(4) 1 I. PRELIMINARIES 3
1. INTRODUCTION 3 2. STATEMENT OF RESULTS 4 3. CONJECTURAL COMPATIBILITY
28 4. CONJECTURAL RIGIDITY 30 II. BASIC FACTS 35 1. NORM MAPS 35 2.
INDUCED REPRESENTATIONS 39 3. SATAKE ISOMORPHISM 46 4. INDUCED
REPRESENTATIONS OF PGSP(2, F) 47 5. TWISTED CONJUGACY CLASSES 50 III.
TRACE FORMULAE 60 1. TWISTED TRACE FORMULA: GEOMETRIC SIDE 60 2. TWISTED
TRACE FORMULA: ANALYTIC SIDE 66 3. TRACE FORMULA OF H: SPECTRAL SIDE 73
4. TRACE FORMULA IDENTITY 78 IV. LIFTING FROM SO(4) TO PGL(4) 86 1. FROM
SO(4) TO PGL(4) 86 2. SYMMETRIC SQUARE 94 3. INDUCED CASE 97 4. CUSPIDAL
CASE 101 V. LIFTING FROM PGSP(2) TO PGL(4) 11 3 1. CHARACTERS ON THE
SYMPLECTIC GROUP 113 2. REDUCIBILITY 119 3. TRANSFER OF DISTRIBUTIONS
122 4. ORTHOGONALITY RELATIONS 129 X CONTENTS 5. CHARACTER RELATIONS 133
6. FINE CHARACTER RELATIONS 140 7. GENERIC REPRESENTATIONS OF PGSP(2)
148 8. LOCAL LIFTING FROM PGSP(2) 152 9. LOCAL PACKETS 160 10. GLOBAL
PACKETS 161 11., REPRESENTATIONS OF PGSP(2, R) 174 VI. FUNDAMENTAL LEMMA
182 1. CASE OF SL(2) 182 2. CASE OF GSP(2) 184 PART 2. ZETA FUNCTIONS OF
SHIMURA VARIETIES OF PGSP(2) 205 I. PRELIMINARIES 207 1. INTRODUCTION
207 2. STATEMENT OF RESULTS 209 3. THE ZETA FUNCTION 218 4. THE SHIMURA
VARIETY 222 5. DECOMPOSITION OF COHOMOLOGY 223 6. GALOIS REPRESENTATIONS
225 II. AUTOMORPHIC REPRESENTATIONS 227 1. STABILIZATION AND THE TEST
FUNCTION 227 2. AUTOMORPHIC REPRESENTATIONS OF PGSP(2) 229 3. LOCAL
PACKETS 231 4. MULTIPLICITIES 234 5. SPECTRAL SIDE OF THE STABLE TRACE
FORMULA 234 6. PROPER ENDOSCOPIC GROUP 236 III. LOCAL TERMS 238 1.
REPRESENTATIONS OF THE DUAL GROUP 238 2. LOCAL TERMS AT P 240 3. THE
EIGENVALUES AT P 245 4. TERMS AT P FOR THE ENDOSCOPIC GROUP 247 IV. REAL
REPRESENTATIONS 248 1. REPRESENTATIONS OF SL(2,R) 248 2. COHOMOLOGICAL
REPRESENTATIONS 249 CONTENTS XI 3. NONTEMPERED REPRESENTATIONS 251 4.
THE COHOMOLOGICAL L(VSGN, I'- 1/2 7R 2 FC) 252 5. THE COHOMOLOGICAL L(^
1 / 2 7R 2FE+ I,^- 1/2 ) 254 6. FINITE DIMENSIONAL REPRESENTATIONS 255
7. LOCAL TERMS AT OO 256 V. GALOIS REPRESENTATIONS 258 1. TEMPERED CASE
258 2. NONTEMPERED CASE 262 PART 3. BACKGROUND 267 I. ON AUTOMORPHIC
FORMS 269 1. CLASS FIELD THEORY 269 2. REDUCTIVE GROUPS 275 3.
FUNCTORIALITY 280 4. UNRAMIFIED CASE 285 5. AUTOMORPHIC REPRESENTATIONS
288 6. RESIDUAL CASE 290 7. ENDOSCOPY 295 8. BASECHANGE 300 II. ON
ARTIN'S CONJECTURE 303 REFERENCES 311 INDEX 321 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Flicker, Yuval Z. |
| author_facet | Flicker, Yuval Z. |
| author_role | aut |
| author_sort | Flicker, Yuval Z. |
| author_variant | y z f yz yzf |
| building | Verbundindex |
| bvnumber | BV022255355 |
| callnumber-first | Q - Science |
| callnumber-label | QA353 |
| callnumber-raw | QA353.A9 |
| callnumber-search | QA353.A9 |
| callnumber-sort | QA 3353 A9 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)494443028 (DE-599)BVBBV022255355 |
| dewey-full | 515.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.9 |
| dewey-search | 515.9 |
| dewey-sort | 3515.9 |
| 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>01901nam a2200517 c 4500</leader><controlfield tag="001">BV022255355</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20070228 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">070205s2005 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812564039</subfield><subfield code="9">981-256-403-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)494443028</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV022255355</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA353.A9</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.9</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Flicker, Yuval Z.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Automorphic forms and shimura varieties of PGSp(2)</subfield><subfield code="c">by Yuval Z FLicker</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New Jersey [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 324 S.</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="650" ind1=" " ind2="4"><subfield code="a">Formes automorphes</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Formes automorphes</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Shimura, Variétés de</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Shimura, Variétés de</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Automorphic forms</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Shimura varieties</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Symplektische Gruppe</subfield><subfield code="0">(DE-588)4276585-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Shimura-Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4181143-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Projektive Gruppe</subfield><subfield code="0">(DE-588)4175885-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Automorphe Form</subfield><subfield code="0">(DE-588)4003972-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Automorphe Form</subfield><subfield code="0">(DE-588)4003972-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Shimura-Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4181143-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Symplektische Gruppe</subfield><subfield code="0">(DE-588)4276585-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Projektive Gruppe</subfield><subfield code="0">(DE-588)4175885-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV 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=015466081&sequence=000001&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:BVB01-015466081</subfield></datafield></record></collection> |
| id | DE-604.BV022255355 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:40:58Z |
| indexdate | 2024-07-09T20:53:27Z |
| institution | BVB |
| isbn | 9812564039 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015466081 |
| oclc_num | 494443028 |
| open_access_boolean | |
| owner | DE-824 DE-11 |
| owner_facet | DE-824 DE-11 |
| physical | XI, 324 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Flicker, Yuval Z. Verfasser aut Automorphic forms and shimura varieties of PGSp(2) by Yuval Z FLicker New Jersey [u.a.] World Scientific 2005 XI, 324 S. txt rdacontent n rdamedia nc rdacarrier Formes automorphes Formes automorphes ram Shimura, Variétés de Shimura, Variétés de ram Automorphic forms Shimura varieties Symplektische Gruppe (DE-588)4276585-7 gnd rswk-swf Shimura-Mannigfaltigkeit (DE-588)4181143-4 gnd rswk-swf Projektive Gruppe (DE-588)4175885-7 gnd rswk-swf Automorphe Form (DE-588)4003972-9 gnd rswk-swf Automorphe Form (DE-588)4003972-9 s DE-604 Shimura-Mannigfaltigkeit (DE-588)4181143-4 s Symplektische Gruppe (DE-588)4276585-7 s Projektive Gruppe (DE-588)4175885-7 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015466081&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Flicker, Yuval Z. Automorphic forms and shimura varieties of PGSp(2) Formes automorphes Formes automorphes ram Shimura, Variétés de Shimura, Variétés de ram Automorphic forms Shimura varieties Symplektische Gruppe (DE-588)4276585-7 gnd Shimura-Mannigfaltigkeit (DE-588)4181143-4 gnd Projektive Gruppe (DE-588)4175885-7 gnd Automorphe Form (DE-588)4003972-9 gnd |
| subject_GND | (DE-588)4276585-7 (DE-588)4181143-4 (DE-588)4175885-7 (DE-588)4003972-9 |
| title | Automorphic forms and shimura varieties of PGSp(2) |
| title_auth | Automorphic forms and shimura varieties of PGSp(2) |
| title_exact_search | Automorphic forms and shimura varieties of PGSp(2) |
| title_exact_search_txtP | Automorphic forms and shimura varieties of PGSp(2) |
| title_full | Automorphic forms and shimura varieties of PGSp(2) by Yuval Z FLicker |
| title_fullStr | Automorphic forms and shimura varieties of PGSp(2) by Yuval Z FLicker |
| title_full_unstemmed | Automorphic forms and shimura varieties of PGSp(2) by Yuval Z FLicker |
| title_short | Automorphic forms and shimura varieties of PGSp(2) |
| title_sort | automorphic forms and shimura varieties of pgsp 2 |
| topic | Formes automorphes Formes automorphes ram Shimura, Variétés de Shimura, Variétés de ram Automorphic forms Shimura varieties Symplektische Gruppe (DE-588)4276585-7 gnd Shimura-Mannigfaltigkeit (DE-588)4181143-4 gnd Projektive Gruppe (DE-588)4175885-7 gnd Automorphe Form (DE-588)4003972-9 gnd |
| topic_facet | Formes automorphes Shimura, Variétés de Automorphic forms Shimura varieties Symplektische Gruppe Shimura-Mannigfaltigkeit Projektive Gruppe Automorphe Form |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015466081&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT flickeryuvalz automorphicformsandshimuravarietiesofpgsp2 |