| Description |
1 online resource (473 pages). |
|
text file PDF |
| Series |
EMS Series of Congress Reports
|
|
EMS series of congress reports.
|
| Contents |
A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives / W. Dale Brownawell, Matthew A. Papanikolas -- Pink's theory of Hodge structures and the Hodge conjecture over function fields / Urs Hartl, Ann-Kristin Juschka -- Local shtukas, Hodge-Pink structures and Galois representations / Urs Hartl, Wansu Kim -- Frobenius difference equations and difference Galois groups / Chieh-Yu Chang -- An introduction to Mahler's method for transcendence and algebraic independence / Federico Pellarin -- Automata methods in transcendence / Dinesh S. Thakur -- Aspects of Iwasawa theory over function fields / Andrea Bandini, Francesc Bars, Ignazio Longhi -- 1-$t$-Motifs / Lenny Taelman -- Multizeta in function field arithmetic / Dinesh S. Thakur. |
| Summary |
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. |
| Bibliography |
Includes bibliographical references and index. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Geometry, Algebraic.
|
|
Geometry, Algebraic. |
|
Hodge theory.
|
|
Hodge theory. |
|
Number theory. |
|
Number theory. |
|
Commutative rings and algebras. |
| Genre/Form |
Electronic books.
|
|
Technical reports.
|
|
Technical reports.
|
| Added Author |
Böckle, Gebhard, editor.
|
|
Goss, David, editor.
|
|
Hartl, Urs, editor.
|
|
Papanikolas, Matthew A., editor.
|
| Other Form: |
Original 9783037191989 3037191988 (OCoLC)1155585516 |
| ISBN |
9783037196984 |
|
303719698X |
|
9783037191989 |
|
3037191988 |
| Standard No. |
10.4171/198 |
|
