Sheaves and Functions Modulo p

Lectures on the Woods Hole Trace Formula

Nonfiction, Science & Nature, Mathematics, Number Theory, Geometry
Cover of the book Sheaves and Functions Modulo p by Lenny Taelman, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Lenny Taelman ISBN: 9781316570807
Publisher: Cambridge University Press Publication: November 5, 2015
Imprint: Cambridge University Press Language: English
Author: Lenny Taelman
ISBN: 9781316570807
Publisher: Cambridge University Press
Publication: November 5, 2015
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Introduction to Computable General Equilibrium Models by Lenny Taelman
Cover of the book The Cambridge Companion to Medieval Women's Writing by Lenny Taelman
Cover of the book London by Lenny Taelman
Cover of the book Lambda Calculus with Types by Lenny Taelman
Cover of the book Gambling on War by Lenny Taelman
Cover of the book Essential Quantum Optics by Lenny Taelman
Cover of the book Petrology of Sedimentary Rocks by Lenny Taelman
Cover of the book An Introduction to International Organizations Law by Lenny Taelman
Cover of the book Solar Power Generation Problems, Solutions, and Monitoring by Lenny Taelman
Cover of the book Wargames by Lenny Taelman
Cover of the book Property Law and Social Morality by Lenny Taelman
Cover of the book The Civic Culture Transformed by Lenny Taelman
Cover of the book Value and Virtue in a Godless Universe by Lenny Taelman
Cover of the book The Cambridge Companion to Literature on Screen by Lenny Taelman
Cover of the book The Cambridge Companion to German Idealism by Lenny Taelman
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy