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The Many Facets of Geometry

Author: Oscar Garcia-Prada

Publisher: OUP Oxford

Published: 2010-07-01

Total Pages: 456

ISBN-13: 0191567574

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Few people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made fundamental contributions in areas as diverse as: spin geometry, instanton and monopole equations, twistor theory, symplectic geometry of moduli spaces, integrables systems, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, special Lagrangian geometry and mirror symmetry, theory of grebes, and many more. He was previously Rouse Ball Professor of Mathematics at Cambridge University, as well as Professor of Mathematics at the University of Warwick, is a Fellow of the Royal Society and has been the President of the London Mathematical Society. The chapters in this fascinating volume, written by some of the greats in their fields (including four Fields Medalists), show how Hitchin's ideas have impacted on a wide variety of subjects. The book grew out of the Geometry Conference in Honour of Nigel Hitchin, held in Madrid, with some additional contributions, and should be required reading for anyone seeking insights into the overlap between geometry and physics.

Book Synopsis The Many Facets of Geometry by : Oscar Garcia-Prada

Download or read book The Many Facets of Geometry written by Oscar Garcia-Prada and published by OUP Oxford. This book was released on 2010-07-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made fundamental contributions in areas as diverse as: spin geometry, instanton and monopole equations, twistor theory, symplectic geometry of moduli spaces, integrables systems, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, special Lagrangian geometry and mirror symmetry, theory of grebes, and many more. He was previously Rouse Ball Professor of Mathematics at Cambridge University, as well as Professor of Mathematics at the University of Warwick, is a Fellow of the Royal Society and has been the President of the London Mathematical Society. The chapters in this fascinating volume, written by some of the greats in their fields (including four Fields Medalists), show how Hitchin's ideas have impacted on a wide variety of subjects. The book grew out of the Geometry Conference in Honour of Nigel Hitchin, held in Madrid, with some additional contributions, and should be required reading for anyone seeking insights into the overlap between geometry and physics.

The Many Facets of Geometry

Author: Nigel J. Hitchin

Publisher: Oxford University Press

Published: 2010-07

Total Pages: 453

ISBN-13: 0199534926

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This title celebrates the academic career of Professor Nigel Hitchin - one of the most influential figures in the field of differential and algebraic geometry.

Book Synopsis The Many Facets of Geometry by : Nigel J. Hitchin

Download or read book The Many Facets of Geometry written by Nigel J. Hitchin and published by Oxford University Press. This book was released on 2010-07 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title celebrates the academic career of Professor Nigel Hitchin - one of the most influential figures in the field of differential and algebraic geometry.

The Many Facets of Mathematics

Author: Jerome E. Kaufmann

Publisher:

Published: 1971

Total Pages: 280

ISBN-13:

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The primary objective of this book is to provide you with the opportunity to gain insight into the nature of mathematics by exploring some of the many facets of mathematics.

Book Synopsis The Many Facets of Mathematics by : Jerome E. Kaufmann

Download or read book The Many Facets of Mathematics written by Jerome E. Kaufmann and published by . This book was released on 1971 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this book is to provide you with the opportunity to gain insight into the nature of mathematics by exploring some of the many facets of mathematics.

The Many Facets of Israel's Hydrogeology

Author: Uri Kafri

Publisher: Springer Nature

Published: 2020-11-09

Total Pages: 504

ISBN-13: 3030511480

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This book presents a collection of essays that address various facets of the hydrogeology of Israel. Despite its small geographic size, Israel exhibits a variety of climates and is located between two regional fluctuating base levels. The respective chapters discuss the variety of hydrogeological configurations and hydrological processes produced by these geographical circumstances. In some cases, the interpretation of these aspects is deliberately left open to debate, because the authors were asked to provide, in addition to their own views, also alternative and even conflicting ones. Hydrogeological configurations similar to those in Israel can be found in other countries around the world. Therefore, researchers, scholars and professionals in this interdisciplinary field can benefit from and directly apply the considerable experience and expertise that has been gathered in Israel over the past few decades.

Book Synopsis The Many Facets of Israel's Hydrogeology by : Uri Kafri

Download or read book The Many Facets of Israel's Hydrogeology written by Uri Kafri and published by Springer Nature. This book was released on 2020-11-09 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of essays that address various facets of the hydrogeology of Israel. Despite its small geographic size, Israel exhibits a variety of climates and is located between two regional fluctuating base levels. The respective chapters discuss the variety of hydrogeological configurations and hydrological processes produced by these geographical circumstances. In some cases, the interpretation of these aspects is deliberately left open to debate, because the authors were asked to provide, in addition to their own views, also alternative and even conflicting ones. Hydrogeological configurations similar to those in Israel can be found in other countries around the world. Therefore, researchers, scholars and professionals in this interdisciplinary field can benefit from and directly apply the considerable experience and expertise that has been gathered in Israel over the past few decades.

The Many Facets of Cosmic Explosions

Author: Alicia Soderberg

Publisher: Universal-Publishers

Published: 2007-10

Total Pages: 265

ISBN-13: 1581123779

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Over the past few years, long-duration gamma-ray bursts (GRBs), including the subclass of X-ray flashes (XRFs), have been revealed to be a rare variety of Type Ibc supernova (SN Ibc). While all these events result from the death of massive stars, the electromagnetic luminosities of GRBs and XRFs exceed those of ordinary Type Ibc SNe by many orders of magnitude. The observed diversity of stellar death corresponds to large variations in the energy, velocity, and geometry of the explosion ejecta. Using multi-wavelength (radio, optical, X-ray) observations of the nearest GRBs, XRFs, and SNe Ibc, I show that GRBs and XRFs couple at least 1048 erg to relativistic material while SNe Ibc typically couple less than 1048 erg to their fastest (albeit non-relativistic) outflows. Specifically, I find that less than 3 percent of local SNe Ibc show any evidence for association with a GRB or XRF. Interestingly, this dichotomy is not echoed by the properties of their optical SN emission, dominated by the radioactive decay of Nickel-56; I find that GRBs, XRFs, and SNe Ibc show significant overlap in their optical peak luminosity and photospheric velocities. Recently, I identified a new class of GRBs and XRFs that are under-luminous in comparison with the statistical sample of GRBs. Owing to their faint high-energy emission, these sub-energetic bursts are only detectable nearby (z

Book Synopsis The Many Facets of Cosmic Explosions by : Alicia Soderberg

Download or read book The Many Facets of Cosmic Explosions written by Alicia Soderberg and published by Universal-Publishers. This book was released on 2007-10 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few years, long-duration gamma-ray bursts (GRBs), including the subclass of X-ray flashes (XRFs), have been revealed to be a rare variety of Type Ibc supernova (SN Ibc). While all these events result from the death of massive stars, the electromagnetic luminosities of GRBs and XRFs exceed those of ordinary Type Ibc SNe by many orders of magnitude. The observed diversity of stellar death corresponds to large variations in the energy, velocity, and geometry of the explosion ejecta. Using multi-wavelength (radio, optical, X-ray) observations of the nearest GRBs, XRFs, and SNe Ibc, I show that GRBs and XRFs couple at least 1048 erg to relativistic material while SNe Ibc typically couple less than 1048 erg to their fastest (albeit non-relativistic) outflows. Specifically, I find that less than 3 percent of local SNe Ibc show any evidence for association with a GRB or XRF. Interestingly, this dichotomy is not echoed by the properties of their optical SN emission, dominated by the radioactive decay of Nickel-56; I find that GRBs, XRFs, and SNe Ibc show significant overlap in their optical peak luminosity and photospheric velocities. Recently, I identified a new class of GRBs and XRFs that are under-luminous in comparison with the statistical sample of GRBs. Owing to their faint high-energy emission, these sub-energetic bursts are only detectable nearby (z

Geometry and Physics

Author: Jørgen Ellegaard Andersen

Publisher: Oxford University Press, USA

Published: 2018

Total Pages: 347

ISBN-13: 0198802021

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Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics. These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.

Book Synopsis Geometry and Physics by : Jørgen Ellegaard Andersen

Download or read book Geometry and Physics written by Jørgen Ellegaard Andersen and published by Oxford University Press, USA. This book was released on 2018 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics. These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.

Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties

Author: Paola Comparin

Publisher: American Mathematical Soc.

Published: 2021-04-23

Total Pages: 282

ISBN-13: 1470453274

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Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucón, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties—in particular, of their automorphism groups and moduli spaces. They will be of interest to anyone working in the area, as well as young mathematicians and students interested in complex and algebraic geometry.

Book Synopsis Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties by : Paola Comparin

Download or read book Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties written by Paola Comparin and published by American Mathematical Soc.. This book was released on 2021-04-23 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucón, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties—in particular, of their automorphism groups and moduli spaces. They will be of interest to anyone working in the area, as well as young mathematicians and students interested in complex and algebraic geometry.

Algebraic and Geometric Aspects of Integrable Systems and Random Matrices

Author: Anton Dzhamay

Publisher: American Mathematical Soc.

Published: 2013-06-26

Total Pages: 363

ISBN-13: 0821887475

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This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA. The very wide range of topics represented in this volume illustrates

Book Synopsis Algebraic and Geometric Aspects of Integrable Systems and Random Matrices by : Anton Dzhamay

Download or read book Algebraic and Geometric Aspects of Integrable Systems and Random Matrices written by Anton Dzhamay and published by American Mathematical Soc.. This book was released on 2013-06-26 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA. The very wide range of topics represented in this volume illustrates

Analytic, Algebraic and Geometric Aspects of Differential Equations

Author: Galina Filipuk

Publisher: Birkhäuser

Published: 2017-06-23

Total Pages: 471

ISBN-13: 3319528424

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This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also pointing out the highly fruitful interrelations between those aspects. These interactions continue to yield new developments, not only in the theory of differential equations but also in several related areas of mathematics and physics such as differential geometry, representation theory, number theory and mathematical physics. The main goal of the volume is to introduce basic concepts, techniques, detailed and illustrative examples and theorems (in a manner suitable for non-specialists), and to present recent developments in the field, together with open problems for more advanced and experienced readers. It will be of interest to graduate students, early-career researchers and specialists in analysis, geometry, algebra and related areas, as well as anyone interested in learning new methods and techniques.

Book Synopsis Analytic, Algebraic and Geometric Aspects of Differential Equations by : Galina Filipuk

Download or read book Analytic, Algebraic and Geometric Aspects of Differential Equations written by Galina Filipuk and published by Birkhäuser. This book was released on 2017-06-23 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also pointing out the highly fruitful interrelations between those aspects. These interactions continue to yield new developments, not only in the theory of differential equations but also in several related areas of mathematics and physics such as differential geometry, representation theory, number theory and mathematical physics. The main goal of the volume is to introduce basic concepts, techniques, detailed and illustrative examples and theorems (in a manner suitable for non-specialists), and to present recent developments in the field, together with open problems for more advanced and experienced readers. It will be of interest to graduate students, early-career researchers and specialists in analysis, geometry, algebra and related areas, as well as anyone interested in learning new methods and techniques.

Handbook of Convex Geometry

Author: Bozzano G Luisa

Publisher: Elsevier

Published: 2014-06-28

Total Pages: 769

ISBN-13: 0080934404

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Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions. The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions focus on packing in non-Euclidean spaces, problems in the Euclidean plane, general convex bodies, computational complexity of lattice point problem, centrally symmetric convex bodies, reduction theory, and lattices and the space of lattices. The text then examines finite packing and covering and tilings, including plane tilings, monohedral tilings, bin packing, and sausage problems. The manuscript takes a look at valuations and dissections, geometric crystallography, convexity and differential geometry, and convex functions. Topics include differentiability, inequalities, uniqueness theorems for convex hypersurfaces, mixed discriminants and mixed volumes, differential geometric characterization of convexity, reduction of quadratic forms, and finite groups of symmetry operations. The selection is a dependable source of data for mathematicians and researchers interested in convex geometry.

Book Synopsis Handbook of Convex Geometry by : Bozzano G Luisa

Download or read book Handbook of Convex Geometry written by Bozzano G Luisa and published by Elsevier. This book was released on 2014-06-28 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions. The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions focus on packing in non-Euclidean spaces, problems in the Euclidean plane, general convex bodies, computational complexity of lattice point problem, centrally symmetric convex bodies, reduction theory, and lattices and the space of lattices. The text then examines finite packing and covering and tilings, including plane tilings, monohedral tilings, bin packing, and sausage problems. The manuscript takes a look at valuations and dissections, geometric crystallography, convexity and differential geometry, and convex functions. Topics include differentiability, inequalities, uniqueness theorems for convex hypersurfaces, mixed discriminants and mixed volumes, differential geometric characterization of convexity, reduction of quadratic forms, and finite groups of symmetry operations. The selection is a dependable source of data for mathematicians and researchers interested in convex geometry.