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

Gebhard Böckle, David Goss, Urs Hartl, Matthew Papanikolas (Herausgeber)

Buch | Hardcover

473 Seiten

2020
EMS Press (Verlag)
978-3-03719-198-9 (ISBN)

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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.

Erscheinungsdatum	31.05.2020
Reihe/Serie	EMS Series of Congress Reports
Sprache	englisch
Maße	170 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Schlagworte	Anderson t-modules • Drinfeld Modules • Holdge–Pink-structures • t-motives • transcendence
ISBN-10	3-03719-198-8 / 3037191988
ISBN-13	978-3-03719-198-9 / 9783037191989
Zustand	Neuware