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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
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Non-abelian Fundamental Groups and Iwasawa Theory (Paperback, New)
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Non-abelian Fundamental Groups and Iwasawa Theory (Paperback, New)
Series: London Mathematical Society Lecture Note Series
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Number theory currently has at least three different perspectives
on non-abelian phenomena: the Langlands programme, non-commutative
Iwasawa theory and anabelian geometry. In the second half of 2009,
experts from each of these three areas gathered at the Isaac Newton
Institute in Cambridge to explain the latest advances in their
research and to investigate possible avenues of future
investigation and collaboration. For those in attendance, the
overwhelming impression was that number theory is going through a
tumultuous period of theory-building and experimentation analogous
to the late 19th century, when many different special reciprocity
laws of abelian class field theory were formulated before knowledge
of the Artin-Takagi theory. Non-abelian Fundamental Groups and
Iwasawa Theory presents the state of the art in theorems,
conjectures and speculations that point the way towards a new
synthesis, an as-yet-undiscovered unified theory of non-abelian
arithmetic geometry.
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