Skip to content
Register Sign in Wishlist

Cohomology of Drinfeld Modular Varieties

Part 2. Automorphic Forms, Trace Formulas and Langlands Correspondence

£57.99

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: April 2009
  • availability: Available
  • format: Paperback
  • isbn: 9780521109901

£ 57.99
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback, eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By analogy with the number-theoretic case, one expects to establish the conjecture for function fields by studying the cohomology of Drinfeld modular varieties, which has been done by Drinfeld himself for the rank two case. This second volume is concerned with the Arthur-Selberg trace formula, and with the proof in some cases of the Rmamanujan-Petersson conjecture and the global Langlands conjecture for function fields. It is based on graduate courses taught by the author, who uses techniques which are extensions of those used to study Shimura varieties. Though the author considers only the simpler case of function rather than number fields, many important features of the number field case can be illustrated. Several appendices on background material keep the work reasonably self-contained. It is the first book on this subject and will be of much interest to all researchers in algebraic number theory and representation theory.

    • Modern view of the subject - includes the Langlands correspondence
    • Author is well placed to write
    • Based on graduate courses in USA
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: April 2009
    • format: Paperback
    • isbn: 9780521109901
    • length: 380 pages
    • dimensions: 229 x 152 x 21 mm
    • weight: 0.56kg
    • availability: Available
  • Table of Contents

    Preface
    9. Trace of fA on the discrete spectrum
    10. Non-invariant Arthur trace formula: the geometric side
    11. Non-invariant Arthur trace formula: the spectral side
    12. Cohomology with compact supports of Drinfeld modular varieties
    13. Intersection cohomology of Drinfeld modular varieties
    Appendix D. Representations of unimodular, locally compact, totally discontinuous, separated topological groups: addendum
    Appendix E. Reduction theory and strong approximation
    Appendix F. Proof of lemma 10. 6. 4
    Appendix G. The decomposition of L2G following the cuspidal data.

  • Author

    Gérard Laumon, Université de Paris XI

    Appendix by

    Jean Loup Waldspurger

Related Books

also by this author

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×