Ottawa lectures on admissible representations of reductive p-adic groups:
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2009]
Toronto, Ontario The Fields Institute for Research in Mathematical Sciences |
| Schriftenreihe: | Fields Institute monographs
26 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Vorwort: "This volume evolved from two Fields Institute Workshops held at the University of Ottawa: the Workshop on the Representation Theory of p-adic Groups held in May 2004, organised by Jason Levy and Monica Nevins; and the Workshop on the Representation Theory of Reductive Algebraic Groups, held in January 2007, organised by Clifton Cunningham and Monica Nevins." |
| Beschreibung: | xii, 199 Seiten |
| ISBN: | 9780821844939 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV024627841 | ||
| 003 | DE-604 | ||
| 005 | 20240905 | ||
| 007 | t | ||
| 008 | 090924s2009 xxu |||| 10||| eng d | ||
| 020 | |a 9780821844939 |9 978-0-8218-4493-9 | ||
| 035 | |a (OCoLC)699043301 | ||
| 035 | |a (DE-599)GBV592470962 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c XD-US | ||
| 049 | |a DE-83 |a DE-11 | ||
| 082 | 0 | |a 512.22 | |
| 084 | |a SK 260 |0 (DE-625)143227: |2 rvk | ||
| 084 | |a 22E50 |2 msc | ||
| 245 | 1 | 0 | |a Ottawa lectures on admissible representations of reductive p-adic groups |c Clifton Cunningham, Monica Nevins, editors |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2009] | |
| 264 | 1 | |a Toronto, Ontario |b The Fields Institute for Research in Mathematical Sciences | |
| 264 | 4 | |c © 2009 | |
| 300 | |a xii, 199 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Fields Institute monographs |v 26 | |
| 500 | |a Aus dem Vorwort: "This volume evolved from two Fields Institute Workshops held at the University of Ottawa: the Workshop on the Representation Theory of p-adic Groups held in May 2004, organised by Jason Levy and Monica Nevins; and the Workshop on the Representation Theory of Reductive Algebraic Groups, held in January 2007, organised by Clifton Cunningham and Monica Nevins." | ||
| 650 | 0 | 7 | |a Reduktive Gruppe |0 (DE-588)4177313-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Darstellungstheorie |0 (DE-588)4148816-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a p-adische Gruppe |0 (DE-588)4398264-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Reduktive Gruppe |0 (DE-588)4177313-5 |D s |
| 689 | 0 | 1 | |a p-adische Gruppe |0 (DE-588)4398264-5 |D s |
| 689 | 0 | 2 | |a Darstellungstheorie |0 (DE-588)4148816-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Cunningham, Clifton |d 1966- |0 (DE-588)139221913 |4 edt | |
| 700 | 1 | |a Nevins, Monica |d 1973- |0 (DE-588)1082101540 |4 edt | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-1789-5 |
| 830 | 0 | |a Fields Institute monographs |v 26 |w (DE-604)BV009737926 |9 26 | |
| 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=018599531&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-018599531 | |
Datensatz im Suchindex
| _version_ | 1809402891776032768 |
|---|---|
| adam_text |
Titel: Ottawa lectures on admissible representations of reductive p-adic groups
Autor: Cunningham, Clifton
Jahr: 2009
Contents
Preface vii
Some Background ix
Fields ix
Groups ix
Representations x
Local Langlands Programme xii
Part 1. Smooth Representations 1
Chapter 1. The Bernstein Decomposition and the Bernstein Centre
Alan Roche (University of Oklahoma) 3
Introduction 3
1.1. Notation and some preliminaries 4
1.2. The splitting induced by an irreducible finite representation 6
1.3. Splitting off all finite irreducible representations 10
1.4. Reductive groups and cuspidal representations 12
1.5. The structure of a cuspidal component I 17
1.6. The structure of a cuspidal component II 21
1.7. The Bernstein decomposition 29
1.8. The structure of a non-cuspidal component I 37
1.9. The structure of a non-cuspidal component II 41
1.10. Some applications 45
Chapter 2. Bruhat-Tits Theory and Buildings
Jiu-Kang Yu (Purdue University) 53
Introduction 53
2.1. Lecture 1 53
2.2. Lecture 2 63
2.3. Lecture 3 70
Chapter 3. Supercuspidal Representations: Construction and Exhaustion
Ju-Lee Kim (Massachusetts Institute of
Technology) 79
Introduction 79
3.1. History 80
3.2. Preliminaries 82
3.3. Open compact subgroups: The Moy-Prasad filtration 87
3.4. Some examples of supercuspidal representations 88
3.5. More examples 90
iii
iv Contents
3.6. Yu's construction 91
3.7. An exhaustion theorem 93
3.8. Proof of the main theorem 95
3.9. Some remarks 98
Part 2. Character Theory 101
Chapter 4. Character Theory of Reductive p-adic Groups
Paul J. Sally, Jr. (University op Chicago) and
Loren Spice (University of Michigan) 103
Introduction 103
4.1. History I. 1960-1975 105
4.2. History II. 1975-1990 107
4.3. History III. 1990-Present 108
4.4. GL£ and SL* 109
4.5. Division algebras 109
Chapter 5. An Overview of Arithmetic Motivic Integration
Julia Gordon (University of British Columbia) and
Yoav Yaffe (McMaster University) 113
Introduction 113
5.1. p-adic integration 114
5.2. Constructible motivic Functions 118
5.3. Motivic integration as pushforward 125
5.4. Back to p-adic integration 135
5.5. Some applications 139
5.6. Appendix 1: The older theories 142
5.7. Appendix 2: An example 147
Part 3. Local Langlands Correspondence 151
Chapter 6. Notes on the Local Langlands Program
Paul Mezo (Carleton University) 153
Preface 153
6.1. The Galois group 153
6.2. Local abelian class field theory 156
6.3. Weil groups 159
6.4. The Weil-Deligne group 161
6.5. The local Langlands correspondence for general linear groups 164
6.6. L-groups 168
6.7. The local Langlands correspondence 173
Chapter 7. On the Local Langlands Correspondence for Tori
Jiu-Kang Yu (Purdue University) 177
Introduction 177
7.1. Notation 177
7.2. Local class field theory 178
7.3. The special case of an induced torus 178
7.4. The special case of characters of finite order 178
7.5. The LLC for tori in general 179
Contents v
7.6. Proof of uniqueness and (2') 179
7.7. Proof of existence 180
7.8. Proof that ^t is an isomorphism 182
7.9. Depths for tamely ramified tori 183
7.10. The depth-preserving theorem 183
Bibliography 185 |
| any_adam_object | 1 |
| author2 | Cunningham, Clifton 1966- Nevins, Monica 1973- |
| author2_role | edt edt |
| author2_variant | c c cc m n mn |
| author_GND | (DE-588)139221913 (DE-588)1082101540 |
| author_facet | Cunningham, Clifton 1966- Nevins, Monica 1973- |
| building | Verbundindex |
| bvnumber | BV024627841 |
| classification_rvk | SK 260 |
| ctrlnum | (OCoLC)699043301 (DE-599)GBV592470962 |
| dewey-full | 512.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.22 |
| dewey-search | 512.22 |
| dewey-sort | 3512.22 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV024627841</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240905</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">090924s2009 xxu |||| 10||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821844939</subfield><subfield code="9">978-0-8218-4493-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)699043301</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBV592470962</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">XD-US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 260</subfield><subfield code="0">(DE-625)143227:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">22E50</subfield><subfield code="2">msc</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Ottawa lectures on admissible representations of reductive p-adic groups</subfield><subfield code="c">Clifton Cunningham, Monica Nevins, editors</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">[2009]</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Toronto, Ontario</subfield><subfield code="b">The Fields Institute for Research in Mathematical Sciences</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xii, 199 Seiten</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">Fields Institute monographs</subfield><subfield code="v">26</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Aus dem Vorwort: "This volume evolved from two Fields Institute Workshops held at the University of Ottawa: the Workshop on the Representation Theory of p-adic Groups held in May 2004, organised by Jason Levy and Monica Nevins; and the Workshop on the Representation Theory of Reductive Algebraic Groups, held in January 2007, organised by Clifton Cunningham and Monica Nevins."</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Reduktive Gruppe</subfield><subfield code="0">(DE-588)4177313-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Darstellungstheorie</subfield><subfield code="0">(DE-588)4148816-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">p-adische Gruppe</subfield><subfield code="0">(DE-588)4398264-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)1071861417</subfield><subfield code="a">Konferenzschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Reduktive Gruppe</subfield><subfield code="0">(DE-588)4177313-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">p-adische Gruppe</subfield><subfield code="0">(DE-588)4398264-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Darstellungstheorie</subfield><subfield code="0">(DE-588)4148816-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Cunningham, Clifton</subfield><subfield code="d">1966-</subfield><subfield code="0">(DE-588)139221913</subfield><subfield code="4">edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Nevins, Monica</subfield><subfield code="d">1973-</subfield><subfield code="0">(DE-588)1082101540</subfield><subfield code="4">edt</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">978-1-4704-1789-5</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Fields Institute monographs</subfield><subfield code="v">26</subfield><subfield code="w">(DE-604)BV009737926</subfield><subfield code="9">26</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=018599531&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-018599531</subfield></datafield></record></collection> |
| genre | (DE-588)1071861417 Konferenzschrift gnd-content |
| genre_facet | Konferenzschrift |
| id | DE-604.BV024627841 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-06T00:04:25Z |
| institution | BVB |
| isbn | 9780821844939 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018599531 |
| oclc_num | 699043301 |
| open_access_boolean | |
| owner | DE-83 DE-11 |
| owner_facet | DE-83 DE-11 |
| physical | xii, 199 Seiten |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | American Mathematical Society The Fields Institute for Research in Mathematical Sciences |
| record_format | marc |
| series | Fields Institute monographs |
| series2 | Fields Institute monographs |
| spelling | Ottawa lectures on admissible representations of reductive p-adic groups Clifton Cunningham, Monica Nevins, editors Providence, Rhode Island American Mathematical Society [2009] Toronto, Ontario The Fields Institute for Research in Mathematical Sciences © 2009 xii, 199 Seiten txt rdacontent n rdamedia nc rdacarrier Fields Institute monographs 26 Aus dem Vorwort: "This volume evolved from two Fields Institute Workshops held at the University of Ottawa: the Workshop on the Representation Theory of p-adic Groups held in May 2004, organised by Jason Levy and Monica Nevins; and the Workshop on the Representation Theory of Reductive Algebraic Groups, held in January 2007, organised by Clifton Cunningham and Monica Nevins." Reduktive Gruppe (DE-588)4177313-5 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf p-adische Gruppe (DE-588)4398264-5 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Reduktive Gruppe (DE-588)4177313-5 s p-adische Gruppe (DE-588)4398264-5 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Cunningham, Clifton 1966- (DE-588)139221913 edt Nevins, Monica 1973- (DE-588)1082101540 edt Erscheint auch als Online-Ausgabe 978-1-4704-1789-5 Fields Institute monographs 26 (DE-604)BV009737926 26 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018599531&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ottawa lectures on admissible representations of reductive p-adic groups Fields Institute monographs Reduktive Gruppe (DE-588)4177313-5 gnd Darstellungstheorie (DE-588)4148816-7 gnd p-adische Gruppe (DE-588)4398264-5 gnd |
| subject_GND | (DE-588)4177313-5 (DE-588)4148816-7 (DE-588)4398264-5 (DE-588)1071861417 |
| title | Ottawa lectures on admissible representations of reductive p-adic groups |
| title_auth | Ottawa lectures on admissible representations of reductive p-adic groups |
| title_exact_search | Ottawa lectures on admissible representations of reductive p-adic groups |
| title_full | Ottawa lectures on admissible representations of reductive p-adic groups Clifton Cunningham, Monica Nevins, editors |
| title_fullStr | Ottawa lectures on admissible representations of reductive p-adic groups Clifton Cunningham, Monica Nevins, editors |
| title_full_unstemmed | Ottawa lectures on admissible representations of reductive p-adic groups Clifton Cunningham, Monica Nevins, editors |
| title_short | Ottawa lectures on admissible representations of reductive p-adic groups |
| title_sort | ottawa lectures on admissible representations of reductive p adic groups |
| topic | Reduktive Gruppe (DE-588)4177313-5 gnd Darstellungstheorie (DE-588)4148816-7 gnd p-adische Gruppe (DE-588)4398264-5 gnd |
| topic_facet | Reduktive Gruppe Darstellungstheorie p-adische Gruppe Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018599531&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009737926 |
| work_keys_str_mv | AT cunninghamclifton ottawalecturesonadmissiblerepresentationsofreductivepadicgroups AT nevinsmonica ottawalecturesonadmissiblerepresentationsofreductivepadicgroups |