BooksecrCollected Volume

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

Editors

Gebhard Böckle
Universität Heidelberg, Germany
David Goss
Urs Hartl
Universität Münster, Germany
Matthew A. Papanikolas
Texas A&M University, College Station, USA

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

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pp. 3–30
A rapid introduction to Drinfeld modules, $t$ -modules, and $t$ -motives
W. Dale BrownawellMatthew A. Papanikolas
pp. 31–182
Pink’s theory of Hodge structures and the Hodge conjecture over function fields
Urs HartlAnn-Kristin Juschka
pp. 183–259
Local shtukas, Hodge–Pink structures and Galois representations
Urs HartlWansu Kim
pp. 261–295
Frobenius difference equations and difference Galois groups
Chieh-Yu Chang
pp. 297–349
An introduction to Mahler’s method for transcendence and algebraic independence
Federico Pellarin
pp. 351–372
Automata methods in transcendence
Dinesh S. Thakur
pp. 375–416
Aspects of Iwasawa theory over function fields
Andrea BandiniFrancesc BarsIgnazio Longhi
pp. 417–439
1- $t$ -Motifs
Lenny Taelman
pp. 441–452
Multizeta in function field arithmetic
Dinesh S. Thakur