TY  - BOOK
AU  - Taelman,Lenny
ED  - Morningside Center of Mathematics,
TI  - Sheaves and functions modulo p: lectures on the Woods Hole trace formula 
T2  - London Mathematical Society lecture note series
SN  - 9781316480687 (ebook)
AV  - QA564 .T335 2016
U1  - 516.3/53 23
PY  - 2016///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Algebraic varieties
KW  - Picard-Lefschetz theory
KW  - Geometry, Algebraic
KW  - Cohomology operations
KW  - Homology theory
N1  - Title from publisher's bibliographic system (viewed on 11 Nov 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9781316480687
ER  -