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

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Bibliographic Details
Imprint:Zuerich, Switzerland : European Mathematical Society Publishing House, 2020.
Description:1 online resource (473 pages).
Language:English
Series:EMS Series of Congress Reports
EMS series of congress reports.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/13542212
Hidden Bibliographic Details
Other authors / contributors:BoĢˆckle, Gebhard, editor.
Goss, David, editor.
Hartl, Urs, editor.
Papanikolas, Matthew A., editor.
ISBN:9783037196984
303719698X
9783037191989
3037191988
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
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.
Other form:Original 9783037191989 3037191988
Standard no.:10.4171/198