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

• Κύριος συγγραφέας: Weissauer, Rainer (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Σειρά: Lecture Notes in Mathematics, 1968
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.