Sheaves and Functions Modulo p - Couverture souple

Taelman, Lenny

Couverture souple

ISBN 10 : 1316502597 ISBN 13 : 9781316502594

Editeur : Cambridge University Press, 2015

Synopsis

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.

A propos du livre

À propos de l'auteur

Lenny Taelman is Professor of Algebraic Geometry at the University of Amsterdam.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 1316502597
• ISBN 13: 9781316502594
• Reliure: Broché
• Nombre de pages: 132
• Coordonnées du fabricant: Buchpark GmbH; https://www.buchpark.de; ; Krügerweg 1; Trebbin; Brandenburg; 14959; Allemagne