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In his 1974 seminal paper 'Elliptic modules', V G Drinfeld
introduced objects into the arithmetic geometry of global function
fields which are nowadays known as 'Drinfeld Modules'. They have
many beautiful analogies with elliptic curves and abelian
varieties. They study of their moduli spaces leads amongst others
to explicit class field theory, Jacquet-Langlands theory, and a
proof of the Shimura-Taniyama-Weil conjecture for global function
fields.This book constitutes a carefully written instructional
course of 12 lectures on these subjects, including many recent
novel insights and examples. The instructional part is complemented
by research papers centering around class field theory, modular
forms and Heegner points in the theory of global function
fields.The book will be indispensable for everyone who wants a
clear view of Drinfeld's original work, and wants to be informed
about the present state of research in the theory of arithmetic
geometry over function fields.
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