t-Motives: Hodge Structures, Transcendence and Other Motivic Aspects

473 Seiten, Hardcover

Kurzbeschreibung des Verlags

This volume contains research and survey articles on Drinfeld modules, Anderson t-modules and t-motives. Much material that had not been easily accessible in the literature is presented here, for example the cohomology theories and Pink’s theory of Hodge structures attached to Drinfeld modules and t-motives. Also included are survey articles on the function field analogue of Fontaine’s theory of p-adic crystalline Galois representations and on transcendence methods over function fields, encompassing the theories of Frobenius difference equations, automata theory, and Mahler’s method. In addition, this volume contains a small number of research articles on function field Iwasawa theory, 1-t-motifs, and multizeta values.
This book is a useful source for learning important techniques and an effective reference for all researchers working in or interested in the area of function field arithmetic, from graduate students to established experts.

• Reihe: EMS Series of Congress Reports
• ISBN: 9783037191989
• Sprache: Englisch
• Erscheinungsdatum: 01.05.2020
• Genre: Mathematik
• Verlag: EMS Press
• Herausgegeben von: Gebhard Böckle, David Goss, Urs Hartl, Matthew Papanikolas