By Rainer Weissauer

This quantity grew out of a sequence of preprints which have been written and circulated - tween 1993 and 1994. round the comparable time, similar paintings used to be performed independently by way of more durable [40] and Laumon [62]. In scripting this textual content in keeping with a revised model of those preprints that have been largely allotted in summer time 1995, I ?nally didn't p- sue the unique plan to totally reorganize the unique preprints. After the lengthy hold up, one of many purposes used to be that an outline of the implications is now on hand in [115]. as an alternative i attempted to enhance the presentation modestly, specifically through including cross-references at any place I felt this was once helpful. additionally, Chaps. eleven and 12 and Sects. five. 1, five. four, and five. five have been additional; those have been written in 1998. I willgivea moredetailedoverviewofthecontentofthedifferentchaptersbelow. earlier than that I may still point out that the 2 major effects are the evidence of Ramanujan’s conjecture for Siegel modular sorts of genus 2 for kinds which aren't cuspidal representations linked to parabolic subgroups(CAP representations), and the learn of the endoscopic carry for the crowd GSp(4). either subject matters are formulated and proved within the ?rst ?ve chapters assuming the stabilization of the hint formulation. the entire closing technical effects, that are essential to receive the stabilized hint formulation, are awarded within the closing chapters. bankruptcy 1 gathers effects at the cohomology of Siegel modular threefolds which are utilized in later chapters, particularly in Chap. three. before everything of Chap.

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Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds (Lecture Notes in Mathematics) by Rainer Weissauer

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