Endoscopy for GSp(4) and the cohomology of Siegel modular threefolds

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...

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主要作者: Weissauer, Rainer, mathématicien
格式: Livre numérique
語言:Anglais
出版: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
版:1st ed. 2009.
叢編:Lecture Notes in Mathematics 1968
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Edition sous un autre format:• Endoscopy for GSp(4) and the cohomology of Siegel modular threefolds, Rainer Weissauer, Berlin, Springer, 2009, 1 vol. (XVII-368 p.), Lecture notes in mathematics, 978-3-540-89305-9
• Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds, Texte imprimé, 9783540893592
• Endoscopy for GSp(4) and the cohomology of Siegel modular threefolds, Rainer Weissauer, Berlin, Springer, 2009, 1 vol. (XVII-368 p.), Lecture notes in mathematics, 978-3-540-89305-9
書本目錄:
  • 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.