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t-Motives: Hodge Structures, Transce...

Böckle, Gebhard,

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	t-Motives: Hodge Structures, Transcendence and Other Motivic Aspects/ Gebhard Böckle, David Goss, Urs Hartl, Matthew A. Papanikolas
other author:	Böckle, Gebhard,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2020,
Description:	1 online resource (473 pages)
Subject:	Number theory - Problems, exercises, etc. -
Online resource:	https://doi.org/10.4171/198
Online resource:	https://www.ems-ph.org/img/books/hartl_mini.jpg
ISBN:	9783037196984

t-Motives: Hodge Structures, Transcendence and Other Motivic Aspects
t-Motives: Hodge Structures, Transcendence and Other Motivic Aspects[electronic resource] /Gebhard Böckle, David Goss, Urs Hartl, Matthew A. Papanikolas - Zuerich, Switzerland :European Mathematical Society Publishing House,2020 - 1 online resource (473 pages) - EMS Series of Congress Reports (ECR) ;2523-515X.

A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives /W. Dale Brownawell, Matthew A. Papanikolas --

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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.

ISBN: 9783037196984

Standard No.: 10.4171/198doiSubjects--Topical Terms:

1232300
Number theory
--Problems, exercises, etc.

t-Motives: Hodge Structures, Transcendence and Other Motivic Aspects
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505 0 0 $t A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives / $r W. Dale Brownawell, Matthew A. Papanikolas -- $t Pink's theory of Hodge structures and the Hodge conjecture over function fields / $r Urs Hartl, Ann-Kristin Juschka -- $t Local shtukas, Hodge-Pink structures and Galois representations / $r Urs Hartl, Wansu Kim -- $t Frobenius difference equations and difference Galois groups / $r Chieh-Yu Chang -- $t An introduction to Mahler's method for transcendence and algebraic independence / $r Federico Pellarin -- $t Automata methods in transcendence / $r Dinesh S. Thakur -- $t Aspects of Iwasawa theory over function fields / $r Andrea Bandini, Francesc Bars, Ignazio Longhi -- $t 1-$t$-Motifs / $r Lenny Taelman -- $t Multizeta in function field arithmetic / $r Dinesh S. Thakur.
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a 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.
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650 0 7 $a Commutative rings and algebras $2 msc $3 3480799
700 1 $a Böckle, Gebhard, $e editor. $3 3481179
700 1 $a Goss, David, $e editor. $3 3480796
700 1 $a Hartl, Urs, $e editor. $3 3480797
700 1 $a Papanikolas, Matthew A., $e editor. $3 3480798
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