Skip to main content
SpringerLink
Log in
Book cover

Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds

  • Book
  • © 2009

Overview

Authors:
  1. Rainer Weissauer

    1. Inst. Mathematik, Universität Heidelberg, Heidelberg, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1968)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. An Application of the Hard Lefschetz Theorem

    • Rainer Weissauer
    Pages 1-17

  3. CAP-Localization

    • Rainer Weissauer
    Pages 19-52

  4. The Ramanujan Conjecture for Genus two Siegel modular Forms

    • Rainer Weissauer
    Pages 53-73

  5. Character identities and Galois representations related to the group GSp(4)

    • Rainer Weissauer
    Pages 75-173

  6. Local and Global Endoscopy for GSp(4)

    • Rainer Weissauer
    Pages 175-210

  7. A special Case of the Fundamental Lemma I

    • Rainer Weissauer
    Pages 211-238

  8. A special Case of the Fundamental Lemma II

    • Rainer Weissauer
    Pages 239-269

  9. The Langlands-Shelstad transfer factor

    • Rainer Weissauer
    Pages 271-290

  10. Fundamental lemma (twisted case)

    • Rainer Weissauer
    Pages 291-320

  11. Reduction to unit elements

    • Rainer Weissauer
    Pages 321-333

  12. Appendix on Galois cohomology

    • Rainer Weissauer
    Pages 335-338

  13. Appendix on Double Cosets

    • Rainer Weissauer
    Pages 339-354

  14. Back Matter

    Pages 355-368
    Download chapter PDF
Back to top

Keywords

About this book

This volume grew out of a series of preprints which were written and circulated - tween 1993 and 1994. Around the same time, related work was done independently by Harder [40] and Laumon [62]. In writing this text based on a revised version of these preprints that were widely distributed in summer 1995, I ?nally did not p- sue the original plan to completely reorganize the original preprints. After the long delay, one of the reasons was that an overview of the results is now available in [115]. Instead I tried to improve the presentation modestly, in particular by adding cross-references wherever I felt this was necessary. In addition, Chaps. 11 and 12 and Sects. 5. 1, 5. 4, and 5. 5 were added; these were written in 1998. I willgivea moredetailedoverviewofthecontentofthedifferentchaptersbelow. Before that I should mention that the two main results are the proof of Ramanujan’s conjecture for Siegel modular forms of genus 2 for forms which are not cuspidal representations associated with parabolic subgroups(CAP representations), and the study of the endoscopic lift for the group GSp(4). Both topics are formulated and proved in the ?rst ?ve chapters assuming the stabilization of the trace formula. All the remaining technical results, which are necessary to obtain the stabilized trace formula, are presented in the remaining chapters. Chapter 1 gathers results on the cohomology of Siegel modular threefolds that are used in later chapters, notably in Chap. 3. At the beginning of Chap.

Authors and Affiliations

  • Inst. Mathematik, Universität Heidelberg, Heidelberg, Germany

    Rainer Weissauer

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation