Arithmetic of $L$-Functions: Proceedings of an International Conference Held at ICMAT, Madrid, May 2023 (EMS Series of Congress Reports)
Author:Dominik Bullach (Editor), Daniel Macias Castillo (Editor)
Publisher finelybook 出版社: EMS Press
Publication Date 出版日期: 15 Mar. 2025
Language 语言: English
Print Length 页数: 366 pages
ISBN-10: 3985470847
ISBN-13: 9783985470846
This volume brings together research and survey articles in algebraic number theory and arithmetic geometry. All of them share as a general theme the mysterious connections between special values of L-functions and algebraic invariants of Galois representations. These relationships are explored primarily through the lenses of Iwasawa theory and other Galois-equivariant points of view. The topics covered include the Galois module structure of ideal class groups, reciprocity laws in Iwasawa theory, Euler systems, p-adic L-functions, and étale cohomology – each of which has had a remarkable importance in the study of p-adic Galois representations over the last few decades. In addition, the final chapters of this volume serve as an introduction to the emerging subject of special L-values in positive characteristic. This is a new direction in the general area of global function field arithmetic that is concerned with the invariants of Galois representations valued in positive characteristic, as provided by Drinfeld modules or t-modules. Serving as the proceedings of an international conference held at ICMAT (Madrid) in May 2023, this volume is a useful resource for important techniques and approaches, as well as a source of concrete results and bibliographic references. It is of interest both to established researchers and to graduate students interested in algebraic number theory or in arithmetic geometry.
