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  E-mail Message: I thought you might be interested in this item at http://www.worldcat.org/oclc/932462465 Title: Sheaves and Functions Modulo p : Lectures on the Woods Hole Trace Formula Author: Lenny Taelman Publisher: Cambridge : Cambridge University Press, 2015. ISBN/ISSN: 9781316480687 1316480682 9781316575093 1316575098 9781316574768 1316574768 OCLC:932462465

  
  

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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
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 of Böckle and Pink with the aim of introducing the sheaves-functions dictionary as quickly as possible, illustrated with elementary examples and classical applications. Subsequently, the theory and results are expanded to include infinite coefficients, L-functions, and applications to special values of Goss L-functions and zeta functions. Based on lectures given at the Morningside Center in Beijing in 2013, this book serves as both an introduction to the Woods Hole trace formula and the sheaves-functions dictionary, and to some advanced applications on characteristic p zeta values.  Read more...
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Subjects	Algebraic varieties. Picard-Lefschetz theory. Geometry, Algebraic. View all subjects
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