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001 978-3-540-89306-6
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008 100301s2009 gw | s |||| 0|eng d
020 _a9783540893066
_9978-3-540-89306-6
024 7 _a10.1007/978-3-540-89306-6
_2doi
050 4 _aQA331-355
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKD
_2thema
082 0 4 _a515.9
_223
100 1 _aWeissauer, Rainer.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aEndoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds
_h[electronic resource] /
_cby Rainer Weissauer.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
300 _aXVIII, 374 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1968
505 0 _aAn 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.
520 _aThe 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.
650 0 _aFunctions of complex variables.
650 0 _aGeometry.
650 0 _aNumber theory.
650 0 _aDifferential equations, partial.
650 0 _aCell aggregation
_xMathematics.
650 1 4 _aFunctions of a Complex Variable.
_0http://scigraph.springernature.com/things/product-market-codes/M12074
650 2 4 _aGeometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21006
650 2 4 _aNumber Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M25001
650 2 4 _aSeveral Complex Variables and Analytic Spaces.
_0http://scigraph.springernature.com/things/product-market-codes/M12198
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540893592
776 0 8 _iPrinted edition:
_z9783540893059
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1968
856 4 0 _uhttps://doi.org/10.1007/978-3-540-89306-6
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11379
_d11379