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

• Main Author: Weissauer, Rainer (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Mathematics, 1968
• Subjects: Mathematics.; Functions of complex variables.; Geometry.; Number theory.; Manifolds (Mathematics).; Complex manifolds.; Functions of a Complex Variable.; Number Theory.; Several Complex Variables and Analytic Spaces.; Manifolds and Cell Complexes (incl. Diff.Topology).

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...

Table of Contents:

• 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.