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Matilde Marcolli has written 10 work(s)

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Product Description: Written by a scholar recognized for important and diverse contributions to mathematical physics, geometry and number theory, this book is a erudite and brilliantly original exploration of parallel developments in (mostly modern) art, mathematics, and physics through the study of topics such as the still-life genre, physical and artistic visions of nothingness, the mathematical concept of space, the geometry of prime numbers, particle physics and cosmology, and artistic and mathematical encounters with randomness...read more

Hardcover:

9783319130958 | Springer Verlag, June 9, 2017, cover price $109.00 |

*About this edition:*Written by a scholar recognized for important and diverse contributions to mathematical physics, geometry and number theory, this book is a erudite and brilliantly original exploration of parallel developments in (mostly modern) art, mathematics, and physics through the study of topics such as the still-life genre, physical and artistic visions of nothingness, the mathematical concept of space, the geometry of prime numbers, particle physics and cosmology, and artistic and mathematical encounters with randomness.Product Description: In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry...read more

Paperback:

9783834826732 | Springer Verlag, December 2, 2014, cover price $109.00 |

*About this edition:*In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory.Product Description: This book is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differential-geometric approaches. It also covers recent developments in Noncommutative Geometry, which have close relations to quantization and quantum group symmetries...read more

Hardcover:

9783834814425 | Springer Verlag, September 15, 2010, cover price $69.99 |

*About this edition:*This book is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differential-geometric approaches.Paperback:

9783834826893 | Vieweg + Teubner Verlag, September 24, 2014, cover price $69.99 |

*About this edition:*This book is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differential-geometric approaches.Product Description: Provides an overview of applications of combinatorics to various problems, such as applications to Hopf algebras, techniques to renormalization problems in quantum field theory, as well as combinatorial problems appearing in the context of the numerical integration of dynamical systems, in noncommutative geometry and in quantum gravity...read more

Paperback:

9780821853290 | Amer Mathematical Society, May 7, 2011, cover price $130.00 |

*About this edition:*Provides an overview of applications of combinatorics to various problems, such as applications to Hopf algebras, techniques to renormalization problems in quantum field theory, as well as combinatorial problems appearing in the context of the numerical integration of dynamical systems, in noncommutative geometry and in quantum gravity.Product Description: This book presents recent and ongoing research work aimed at understanding the mysterious relation between the computations of Feynman integrals in perturbative quantum field theory and the theory of motives of algebraic varieties and their periods...read more

Paperback:

9789814304481 | World Scientific Pub Co Inc, December 30, 2009, cover price $24.00 |

*About this edition:*This book presents recent and ongoing research work aimed at understanding the mysterious relation between the computations of Feynman integrals in perturbative quantum field theory and the theory of motives of algebraic varieties and their periods.Hardcover:

9789814271202 | World Scientific Pub Co Inc, December 30, 2009, cover price $48.00 |

*About this edition:*This book presents recent and ongoing research work aimed at understanding the mysterious relation between the computations of Feynman integrals in perturbative quantum field theory and the theory of motives of algebraic varieties and their periods.Product Description: This is the first existing volume that collects lectures on this important and fast developing subject in mathematics. The lectures are given by leading experts in the field and the range of topics is kept as broad as possible by including both the algebraic and the differential aspects of noncommutative geometry as well as recent applications to theoretical physics and number theory...read more

Paperback:

9789812707796 | World Scientific Pub Co Inc, February 11, 2008, cover price $104.00 |

*About this edition:*This is the first existing volume that collects lectures on this important and fast developing subject in mathematics.Product Description: The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role: space-time, where the guiding principle is the problem of developing a quantum theory of gravity, and the space of primes, where one can regard the Riemann Hypothesis as a long-standing problem motivating the development of new geometric tools...read more

Hardcover:

9780821842102 | Amer Mathematical Society, January 20, 2008, cover price $102.00 |

*About this edition:*The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory.Product Description: Arithmetic noncommutative geometry uses ideas and tools from noncommutative geometry to address questions in a new way and to reinterpret results and constructions from number theory and arithmetic algebraic geometry. This general philosophy is applied to the geometry and arithmetic of modular curves and to the fibers at Archimedean places of arithmetic surfaces and varieties...read more

Hardcover:

9780821838334 | Amer Mathematical Society, July 28, 2005, cover price $34.00 |

*About this edition:*Arithmetic noncommutative geometry uses ideas and tools from noncommutative geometry to address questions in a new way and to reinterpret results and constructions from number theory and arithmetic algebraic geometry.Product Description: The newly developed field of Seiberg-Witten gauge theory has become a well-established part of the differential topology of four-manifolds and three-manifolds. This book offers an introduction and an up-to-date review of the state of current research...read more (view table of contents, read Amazon.com's description)

Hardcover:

9788185931227 | Hindustan Book Agency, September 1, 2000, cover price $52.00 |

*About this edition:*The newly developed field of Seiberg-Witten gauge theory has become a well-established part of the differential topology of four-manifolds and three-manifolds.
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