Holdings: Iwasawa Theory 2012

Iwasawa Theory 2012: state of the art and recent advances

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Bibliographic Details
Other Authors:	Bouganis, Thanasis (Editor)
Format:	Electronic Conference Proceeding eBook
Language:	English
Published:	Berlin [u.a.] Springer 2014
Series:	Contributions in mathematical and computational sciences 7
Subjects:	Zahlentheorie Iwasawa-Theorie Electronic book text Research Iwasawa theory complex and p-adic L-functions automorphic forms Selmer groups
Online Access:	BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9783642552441 9783642552458
DOI:	10.1007/978-3-642-55245-8

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MARC


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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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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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