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Sheaves and Functions Modulo p : Lectures on the Woods Hole Trace Formula

Author: Lenny Taelman
Publisher: Cambridge : Cambridge University Press, 2015.
Series: London Mathematical Society lecture note series, no. 429.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic varieties. It leads to a version of the sheaves-functions dictionary of Deligne, relating characteristic-p-valued functions on the rational points of varieties over finite fields to coherent modules equipped with a Frobenius structure. This book begins with a short introduction to the homological theory of crystals  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
(OCoLC)922155193
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Lenny Taelman
ISBN: 9781316480687 1316480682 9781316575093 1316575098 9781316574768 1316574768
OCLC Number: 932462465
Notes: Title from publisher's bibliographic system (viewed on 15 Dec 2015).
Description: 1 online resource (vi, 125 pages).
Contents: Introduction; 1. tau-sheaves, crystals, and their trace functions; 2. Functors between categories of crystals; 3. The Woods Hole trace formula; 4. Elementary applications; 5. Crystals with coefficients; 6. Cohomology of symmetric powers of curves; 7. Trace formula for L-functions; 8. Special values of L-functions; Appendix A. The trace formula for a transversal endomorphism.
Series Title: London Mathematical Society lecture note series, no. 429.
Other Titles: Sheaves & Functions Modulo p
Responsibility: Lenny Taelman.

Abstract:

Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.  Read more...

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