Cover Image

Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds

Show other versions (1)

An Application of the Hard Lefschetz Theorem -- CAP-Localization -- The Ramanujan Conjecture for Genus two Siegel modular Forms -- Character identities and Galois representations related to the group GSp(4) -- Local and Global Endoscopy for GSp(4) -- A special Case of the Fundamental Lemma I -- A sp...

Full description

Saved in:
Bibliographic Details
Main Author: Weissauer, Rainer (Author)
Format: Book/Monograph
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2009
Series:Lecture notes in mathematics 1968
In: Lecture notes in mathematics (1968)

DOI:10.1007/978-3-540-89306-6
Subjects:
Spurformel
Kohomologiegruppe
Siegel-Modulform
Online Access:Resolving-System, lizenzpflichtig: https://doi.org/10.1007/978-3-540-89306-6
Resolving-System, lizenzpflichtig, Volltext: http://dx.doi.org/10.1007/978-3-540-89306-6
Cover: https://swbplus.bsz-bw.de/bsz305207202cov.jpg
Einführung/Vorwort: https://swbplus.bsz-bw.de/bsz305207202vor.htm
Kapitel 1: https://swbplus.bsz-bw.de/bsz305207202kap.htm
Inhaltsverzeichnis: https://swbplus.bsz-bw.de/bsz305207202inh.htm
Verlag, Zentralblatt MATH, Inhaltstext: https://zbmath.org/?q=an:1273.11089
Get full text
Author Notes:by Rainer Weissauer
Description
Summary:An Application of the Hard Lefschetz Theorem -- CAP-Localization -- The Ramanujan Conjecture for Genus two Siegel modular Forms -- Character identities and Galois representations related to the group GSp(4) -- Local and Global Endoscopy for GSp(4) -- A special Case of the Fundamental Lemma I -- A special Case of the Fundamental Lemma II -- The Langlands-Shelstad transfer factor -- Fundamental lemma (twisted case) -- Reduction to unit elements -- Appendix on Galois cohomology -- Appendix on Double Cosets
The geometry of modular curves and the structure of their cohomology groups have been a rich source for various number-theoretical applications over the last decades. Similar applications may be expected from the arithmetic of higher dimensional modular varieties. For Siegel modular threefolds some basic results on their cohomology groups are derived in this book from considering topological trace formulas
Item Description:Includes bibliographical references (p. 355-359) and index
Physical Description:Online Resource
ISBN:9783540893066
DOI:10.1007/978-3-540-89306-6

Similar Items