Iwasawa Theory 2012: state of the art and recent advances
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2014
|
| Schriftenreihe: | Contributions in mathematical and computational sciences
7 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783642552441 9783642552458 |
| DOI: | 10.1007/978-3-642-55245-8 |
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Datensatz im Suchindex
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| adam_text | IWASAWA THEORY 2012
/
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
LECTURE NOTES: C. WUTHRICH: OVERVIEW OF SOME IWASAWA THEORY
X. WAN: INTRODUCTION TO SKINNER-URBAN S WORK ON THE IWASAWA MAIN
CONJECTURE FOR GL
RESEARCH AND SURVEY ARTICLES: D. BENOIS: ON EXTRA ZEROS OF P-ADIC
L-FUNCTIONS: THE CRYSTALLINE CASE
TH. BOUGANIS: ON SPECIAL L-VALUES ATTACHED TO SIEGEL MODULAR FORMS
T. FUKAYA ET AL: MODULAR SYMBOLS IN IWASAWA THEORY
T. FUKUDA ET AL: WEBER S CLASS NUMBER ONE PROBLEM
R. GREENBERG: ON P-ADIC ARTIN L-FUNCTIONS II
M.-L. HSIEH: IWASAWA Μ-INVARIANTS OF P-ADIC HECKE L-FUNCTIONS
S. KOBAYASHI: THE P-ADIC HEIGHT PAIRING ON ABELIAN VARIETIES AT
NON-ORDINARY PRIMES
J. KOHLHAASE: IWASAWA MODULES ARISING FROM DEFORMATION SPACES OF
P-DIVISIBLE FORMAL GROUP LAWS
M. KURIHARA: THE STRUCTURE OF SELMER GROUPS FOR ELLIPTIC CURVES AND
MODULAR SYMBOLS
D. LOEFFLER: P-ADIC INTEGRATION ON RAY CLASS GROUPS AND NON-ORDINARY
P-ADIC L-FUNCTIONS
T. NGUYEN QUANG DO: ON EQUIVARIANT CHARACTERISTIC IDEALS OF REAL CLASSES
E. URBAN: NEARLY OVER CONVERGENT MODULAR FORMS
M. WITTE: NON-COMMUTATIVE L-FUNCTIONS FOR VARIETIES OVER FINITE FIELDS
Z. WOJTKOWIAK: ON $ WIDEHAT{ MATHBB{Z}}$-ZETA FUNCTION
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
IWASAWA THEORY 2012
/
: 2014
ABSTRACT / INHALTSTEXT
THIS IS THE FIFTH CONFERENCE IN A BI-ANNUAL SERIES, FOLLOWING
CONFERENCES IN BESANCON, LIMOGES, IRSEE AND TORONTO. THE MEETING AIMS TO
BRING TOGETHER DIFFERENT STRANDS OF RESEARCH IN AND CLOSELY RELATED TO
THE AREA OF IWASAWA THEORY. DURING THE WEEK BEFORE THE CONFERENCE IN A
KIND OF SUMMER SCHOOL A SERIES OF PREPARATORY LECTURES FOR YOUNG
MATHEMATICIANS WAS PROVIDED AS AN INTRODUCTION TO IWASAWA THEORY.
IWASAWA THEORY IS A MODERN AND POWERFUL BRANCH OF NUMBER THEORY AND CAN
BE TRACED BACK TO THE JAPANESE MATHEMATICIAN KENKICHI IWASAWA, WHO
INTRODUCED THE SYSTEMATIC STUDY OF Z_P-EXTENSIONS AND P-ADIC
L-FUNCTIONS, CONCENTRATING ON THE CASE OF IDEAL CLASS GROUPS. LATER THIS
WOULD BE GENERALIZED TO ELLIPTIC CURVES. OVER THE LAST FEW DECADES
CONSIDERABLE PROGRESS HAS BEEN MADE IN AUTOMORPHIC IWASAWA THEORY, E.G.
THE PROOF OF THE MAIN CONJECTURE FOR GL(2) BY KATO AND SKINNER & URBAN.
TECHNIQUES SUCH AS HIDA’S THEORY OF P-ADIC MODULAR FORMS AND BIG
GALOIS REPRESENTATIONS PLAY A CRUCIAL PART. ALSO A NONCOMMUTATIVE
IWASAWA THEORY OF ARBITRARY P-ADIC LIE EXTENSIONS HAS BEEN DEVELOPED.
THIS VOLUME AIMS TO PRESENT A SNAPSHOT OF THE STATE OF ART OF IWASAWA
THEORY AS OF 2012. IN PARTICULAR IT OFFERS AN INTRODUCTION TO IWASAWA
THEORY (BASED ON A PREPARATORY COURSE BY CHRIS WUTHRICH) AND A SURVEY OF
THE PROOF OF SKINNER & URBAN (BASED ON A LECTURE COURSE BY XIN WAN)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-55245-8 |
| format | Electronic Conference Proceeding eBook |
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| spelling | Iwasawa Theory 2012 state of the art and recent advances Thanasis Bouganis ..., ed. Berlin [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Contributions in mathematical and computational sciences 7 Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Iwasawa-Theorie (DE-588)4384573-3 gnd rswk-swf Electronic book text Research Iwasawa theory complex and p-adic L-functions automorphic forms Selmer groups Iwasawa-Theorie (DE-588)4384573-3 s Zahlentheorie (DE-588)4067277-3 s 1\p DE-604 Bouganis, Thanasis edt Iwasawa Conference 5 2012 Heidelberg Sonstige (DE-588)1065183402 oth Contributions in mathematical and computational sciences 7 (DE-604)BV043632976 7 https://doi.org/10.1007/978-3-642-55245-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027714350&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027714350&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Iwasawa Theory 2012 state of the art and recent advances Contributions in mathematical and computational sciences Zahlentheorie (DE-588)4067277-3 gnd Iwasawa-Theorie (DE-588)4384573-3 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4384573-3 |
| title | Iwasawa Theory 2012 state of the art and recent advances |
| title_auth | Iwasawa Theory 2012 state of the art and recent advances |
| title_exact_search | Iwasawa Theory 2012 state of the art and recent advances |
| title_full | Iwasawa Theory 2012 state of the art and recent advances Thanasis Bouganis ..., ed. |
| title_fullStr | Iwasawa Theory 2012 state of the art and recent advances Thanasis Bouganis ..., ed. |
| title_full_unstemmed | Iwasawa Theory 2012 state of the art and recent advances Thanasis Bouganis ..., ed. |
| title_short | Iwasawa Theory 2012 |
| title_sort | iwasawa theory 2012 state of the art and recent advances |
| title_sub | state of the art and recent advances |
| topic | Zahlentheorie (DE-588)4067277-3 gnd Iwasawa-Theorie (DE-588)4384573-3 gnd |
| topic_facet | Zahlentheorie Iwasawa-Theorie |
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