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


Book details

A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives
W. Dale Brownawell and Matthew A. Papanikolas
pp. 3–30
Abstract | Full-Text PDF (252 KB)

Pink’s theory of Hodge structures and the Hodge conjecture over function fields
Urs Hartl and Ann-Kristin Juschka
pp. 31–182
Abstract | Full-Text PDF (1366 KB)

Local shtukas, Hodge–Pink structures and Galois representations
Urs Hartl and Wansu Kim
pp. 183–259
Abstract | Full-Text PDF (729 KB)

Frobenius difference equations and difference Galois groups
Chieh-Yu Chang
pp. 261–295
Abstract | Full-Text PDF (326 KB)

An introduction to Mahler’s method for transcendence and algebraic independence
Federico Pellarin
pp. 297–349
Abstract | Full-Text PDF (445 KB)

Automata methods in transcendence
Dinesh S. Thakur
pp. 351–372
Abstract | Full-Text PDF (239 KB)

Aspects of Iwasawa theory over function fields
Andrea Bandini, Francesc Bars and Ignazio Longhi
pp. 375–416
Abstract | Full-Text PDF (391 KB)

1-$t$-Motifs
Lenny Taelman
pp. 417–439
Abstract | Full-Text PDF (215 KB)

Multizeta in function field arithmetic
Dinesh S. Thakur
pp. 441–452
Abstract | Full-Text PDF (157 KB)

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