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The theory of motives began in the early 1960s when Grothendieck envisioned the existence of a "universal cohomology theory of algebraic varieties". The theory
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The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces whe
Commutative Algebra and Noncommutative Algebraic Geometry
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This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository paper
Topics in Noncommutative Geometry
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Noncommutative Geometry and Physics
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This collection of expository articles grew out of the workshop ``Number Theory and Physics'' held in March 2009 at The Erwin Schrodinger International Institut