Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds
Author:   Rainer Weissauer
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2009 ed.
Volume:   1968
ISBN:  

9783540893059


Pages:   374
Publication Date:   25 March 2009
Format:   Paperback
Availability:   In Print   Availability explained
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Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds


Overview

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.

Full Product Details

Author:   Rainer Weissauer
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2009 ed.
Volume:   1968
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   1.220kg
ISBN:  

9783540893059


ISBN 10:   3540893059
Pages:   374
Publication Date:   25 March 2009
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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.

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