Zeta and L-Functions of Varieties and Motives

ISBN-13: 9781108703390 / Angielski / Miękka / 2020 / 214 str.

Bruno Kahn

Opis

Zeta and L-functions have played a major part in the development of number theory. This book for graduate students and researchers presents a big picture of some key results and surrounding theory, whilst taking the reader on a journey through the history of their development.

Recenzje

'… will be of interest to both young mathematicians and physicists as well as experienced scholars.' Nikolaj M. Glazunov, ZB Math Open

Spis treści

Introduction; 1. The Riemann zeta function; 2. The zeta function of a Z-scheme of finite type; 3. The Weil Conjectures; 4. L-functions from number theory; 5. L-functions from geometry; 6. Motives; Appendix A. Karoubian and monoidal categories; Appendix B. Triangulated categories, derived categories, and perfect complexes; Appendix C. List of exercises; Bibliography; Index.