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Zeta and L-Functions of Varieties and Motives (Paperback)
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Zeta and L-Functions of Varieties and Motives (Paperback)
Series: London Mathematical Society Lecture Note Series
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The amount of mathematics invented for number-theoretic reasons is
impressive. It includes much of complex analysis, the re-foundation
of algebraic geometry on commutative algebra, group cohomology,
homological algebra, and the theory of motives. Zeta and
L-functions sit at the meeting point of all these theories and have
played a profound role in shaping the evolution of number theory.
This book presents a big picture of zeta and L-functions and the
complex theories surrounding them, combining standard material with
results and perspectives that are not made explicit elsewhere in
the literature. Particular attention is paid to the development of
the ideas surrounding zeta and L-functions, using quotes from
original sources and comments throughout the book, pointing the
reader towards the relevant history. Based on an advanced course
given at Jussieu in 2013, it is an ideal introduction for graduate
students and researchers to this fascinating story.
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