Kniha Sheaves and Functions Modulo p Lenny Taelman

Sheaves and Functions Modulo p

Lectures on the Woods Hole Trace Formula

Autor: Lenny Taelman
Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 14-20 dnů
1 493
The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2015
Stránek
131
EAN
9781316502594
ISBN
1316502597
Enbook ID
09545546
Hmotnost
220
Rozměry
229 x 155 x 10

Kompletní popis

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.

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