TY  - BOOK
AU  - Weissauer,Rainer
ED  - SpringerLink (Online service)
TI  - Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds
T2  - Lecture Notes in Mathematics,
SN  - 9783540893066
PY  - 2009///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Differential equations, partial
KW  - Number theory
KW  - Cell aggregation
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
KW  - Several Complex Variables and Analytic Spaces
KW  - Number Theory
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-89306-6
ER  -