Interactions With Lattice Polytopes

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Interactions with Lattice Polytopes

Alexander M. Kasprzyk,Benjamin Nill
Interactions with Lattice Polytopes Book PDF

Author : Alexander M. Kasprzyk,Benjamin Nill
Publisher : Springer Nature
Page : 368 pages
File Size : 48,7 Mb
Release : 2022-06-08
Category : Mathematics
ISBN : 9783030983277

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Interactions with Lattice Polytopes by Alexander M. Kasprzyk,Benjamin Nill Pdf

This book collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics. Covering a diverse range of topics, including algebraic geometry, mirror symmetry, symplectic geometry, discrete geometry, and algebraic combinatorics, the common theme is the study of lattice polytopes. These fascinating combinatorial objects are a cornerstone of toric geometry and continue to find rich and unforeseen applications throughout mathematics. The workshop Interactions with Lattice Polytopes assembled many top researchers at the Otto-von-Guericke-Universität Magdeburg in 2017 to discuss the role of lattice polytopes in their work, and many of their presented results are collected in this book. Intended to be accessible, these articles are suitable for researchers and graduate students interested in learning about some of the wide-ranging interactions of lattice polytopes in pure mathematics.

Algebraic And Geometric Combinatorics On Lattice Polytopes - Proceedings Of The Summer Workshop On Lattice Polytopes

Hibi Takayuki,Tsuchiya Akiyoshi
Algebraic And Geometric Combinatorics On Lattice Polytopes Proceedings Of The Summer Workshop On Lattice Polytopes Book PDF

Author : Hibi Takayuki,Tsuchiya Akiyoshi
Publisher : World Scientific
Page : 476 pages
File Size : 51,8 Mb
Release : 2019-05-30
Category : Mathematics
ISBN : 9789811200496

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Algebraic And Geometric Combinatorics On Lattice Polytopes - Proceedings Of The Summer Workshop On Lattice Polytopes by Hibi Takayuki,Tsuchiya Akiyoshi Pdf

This volume consists of research papers and expository survey articles presented by the invited speakers of the Summer Workshop on Lattice Polytopes. Topics include enumerative, algebraic and geometric combinatorics on lattice polytopes, topological combinatorics, commutative algebra and toric varieties.Readers will find that this volume showcases current trends on lattice polytopes and stimulates further developments of many research areas surrounding this field. With the survey articles, research papers and open problems, this volume provides its fundamental materials for graduate students to learn and researchers to find exciting activities and avenues for further exploration on lattice polytopes.

Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory

Abhijit Champanerkar
Interactions Between Hyperbolic Geometry Quantum Topology and Number Theory Book PDF

Author : Abhijit Champanerkar
Publisher : American Mathematical Soc.
Page : 273 pages
File Size : 53,6 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821849606

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Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory by Abhijit Champanerkar Pdf

This book is based on a 10-day workshop given by leading experts in hyperbolic geometry, quantum topology and number theory, in June 2009 at Columbia University. Each speaker gave a minicourse consisting of three or four lectures aimed at graduate students and recent PhDs. The proceedings of this enormously successful workshop can serve as an introduction to this active research area in a way that is expository and broadly accessible to graduate students. Although many ideas overlap, the twelve expository/research papers in this volume can be grouped into four rough categories: (1) different approaches to the Volume Conjecture, and relations between the main quantum and geometric invariants; (2) the geometry associated to triangulations of hyperbolic 3-manifolds; (3) arithmetic invariants of hyperbolic 3-manifolds; (4) quantum invariants associated to knots and hyperbolic 3-manifolds. The workshop, the conference that followed, and these proceedings continue a long tradition in quantum and geometric topology of bringing together ideas from diverse areas of mathematics and physics, and highlights the importance of collaborative research in tackling big problems that require expertise in disparate disciplines.

Interactions of Classical and Numerical Algebraic Geometry

Daniel James Bates
Interactions of Classical and Numerical Algebraic Geometry Book PDF

Author : Daniel James Bates
Publisher : American Mathematical Soc.
Page : 379 pages
File Size : 51,5 Mb
Release : 2009-09-16
Category : Mathematics
ISBN : 9780821847466

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Interactions of Classical and Numerical Algebraic Geometry by Daniel James Bates Pdf

This volume contains the proceedings of the conference on Interactions of Classical and Numerical Algebraic Geometry, held May 22-24, 2008, at the University of Notre Dame, in honor of the achievements of Professor Andrew J. Sommese. While classical algebraic geometry has been studied for hundreds of years, numerical algebraic geometry has only recently been developed. Due in large part to the work of Andrew Sommese and his collaborators, the intersection of these two fields is now ripe for rapid advancement. The primary goal of both the conference and this volume is to foster the interaction between researchers interested in classical algebraic geometry and those interested in numerical methods. The topics in this book include (but are not limited to) various new results in complex algebraic geometry, a primer on Seshadri constants, analyses and presentations of existing and novel numerical homotopy methods for solving polynomial systems, a numerical method for computing the dimensions of the cohomology of twists of ideal sheaves, and the application of algebraic methods in kinematics and phylogenetics.

Polytopes, Rings, and K-Theory

Winfried Bruns,Joseph Gubeladze
Polytopes Rings and K Theory Book PDF

Author : Winfried Bruns,Joseph Gubeladze
Publisher : Springer Science & Business Media
Page : 461 pages
File Size : 41,8 Mb
Release : 2009-06-12
Category : Mathematics
ISBN : 9780387763569

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Polytopes, Rings, and K-Theory by Winfried Bruns,Joseph Gubeladze Pdf

This book examines interactions of polyhedral discrete geometry and algebra. What makes this book unique is the presentation of several central results in all three areas of the exposition - from discrete geometry, to commutative algebra, and K-theory.

Fundamental Interactions

Daniel Grumiller
Fundamental Interactions Book PDF

Author : Daniel Grumiller
Publisher : World Scientific
Page : 422 pages
File Size : 48,6 Mb
Release : 2010
Category : Science
ISBN : 9789814277839

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Fundamental Interactions by Daniel Grumiller Pdf

This memorial volume on the work of Wolfgang Kummer brings together articles devoted to the history of high energy physics with detailed coverage on the scientific concepts and scientific institutions, in particular CERN OCo and the underlying physics involved. Covering recent advances and developments as well as giving a reminiscent overview in two rapidly evolving fields of high energy/particle physics, and gravitational physics, the commemorative volume contains more than 20 original invited paper contributions OCo which will appear for the first time in print OCo from eminent and renowned physicists who interacted and collaborated with Wolfgang Kummer, including Physics Nobel Laureate Jack Steinberger. Wolfgang Kummer was president of the CERN council from 1985 to 1987, among his numerous eminent academic and administrative positions which he held during his illustrious career. This volume also aims to demonstrate and highlight Wolfgang Kummer''s significant contribution to the foundational work in gauge field theory, particle physics, and quantum gravity, and the tremendous impact leading to cutting-edge findings and advances at LHC. Sample Chapter(s). Foreword (155 KB). Chapter 1: Noncovariant Gauges at Zero and Nonzero Temperature (215 KB). Contents: Gauge Field Theory and Particle Physics: Noncovariant Gauges at Zero and Nonzero Temperature (P V Landshoff); Non-Relativistic Bound States: The Long Way Back from the BetheOCoSalpeter to the SchrAdinger Equation (A Vairo); Distended/Diminished Topologically Massive Electrodynamics (S Deser); Dynamical Spin (P G O Freund); Quantum Corrections to Solitons and BPS Saturation (A Rebhan et al.); Gauging Noncommutative Theories (H Grosse & M Wohlgenannt); Topological Phases and Contextuality Effects in Neutron Quantum Optics (H Rauch); First Class Constrained Systems and Twisting of Courant Algebroids by a Closed 4-Form (M Hansen & T Strobl); Some Local and Global Aspects of the Gauge Fixing in YangOCoMills-Theories (D N Blaschke et al.); Frozen Ghosts in Thermal Gauge Field Theory (P V Landshoff & A Rebhan); Classical and Quantum Gravity: Wolfgang Kummer and the Vienna School of Dilaton (Super-)Gravity (L Bergamin & R Meyer); Order and Chaos in Two Dimensional Gravity (R B Mann); 2-D Midisuperspace Models for Quantum Black Holes (J Gegenberg & G Kunstatter); Global Solutions in Gravity. Euclidean Signature (M O Katanaev); Thoughts on the Cosmological Principle (D J Schwarz); When Time Emerges (C Faustmann et al.); Towards Noncommutative Gravity (D V Vassilevich); Superembedding Approach to Superstring in AdS 5 X S 5 Superspace (I A Bandos); Heterotic (0,2) Gepner Models and Related Geometries (M Kreuzer); Canonical Analysis of Cosmological Topologically Massive Gravity at the Chiral Point (D Grumiller et al.); Wolfgang Kummer and the Physics Community: Wolfgang Kummer at CERN (H Schopper); Wolfgang Kummer and the Little Lost Lane Boy (K Lane); Mitigation of Fossil Fuel Consumption and Global Warming by Thermal Solar Electric Power Production in the World''s Deserts (J Steinberger); (My) Life with Wolfgang Kummer (M Schweda); Schubert in Stony Brook and Kinks in Vienna (P van Nieuwenhuizen). Readership: Scientists, researchers, graduates and undergraduates interested in high energy, particle or gravitational physics."

Singularities and Their Interaction with Geometry and Low Dimensional Topology

Javier Fernández de Bobadilla,Tamás László,András Stipsicz
Singularities and Their Interaction with Geometry and Low Dimensional Topology Book PDF

Author : Javier Fernández de Bobadilla,Tamás László,András Stipsicz
Publisher : Springer Nature
Page : 332 pages
File Size : 40,9 Mb
Release : 2021-05-27
Category : Mathematics
ISBN : 9783030619589

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Singularities and Their Interaction with Geometry and Low Dimensional Topology by Javier Fernández de Bobadilla,Tamás László,András Stipsicz Pdf

The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory. The papers, written by leading researchers working on various topics of the above fields, are the outcome of the “Némethi60: Geometry and Topology of Singularities” conference held at the Alfréd Rényi Institute of Mathematics in Budapest, from May 27 to 31, 2019. Both the conference and this resulting volume are in honor of Professor András Némethi, on the occasion of his 60th birthday, whose work plays a decisive and influential role in the interactions between the above fields. The book should serve as a valuable resource for graduate students and researchers to deepen the new perspectives, methods, and connections between geometry and topology regarding singularities.

Handbook of Discrete and Computational Geometry, Second Edition

Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman
Handbook of Discrete and Computational Geometry Second Edition Book PDF

Author : Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman
Publisher : CRC Press
Page : 1557 pages
File Size : 51,9 Mb
Release : 2004-04-13
Category : Mathematics
ISBN : 9781420035315

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Handbook of Discrete and Computational Geometry, Second Edition by Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman Pdf

While high-quality books and journals in this field continue to proliferate, none has yet come close to matching the Handbook of Discrete and Computational Geometry, which in its first edition, quickly became the definitive reference work in its field. But with the rapid growth of the discipline and the many advances made over the past seven years, it's time to bring this standard-setting reference up to date. Editors Jacob E. Goodman and Joseph O'Rourke reassembled their stellar panel of contributors, added manymore, and together thoroughly revised their work to make the most important results and methods, both classic and cutting-edge, accessible in one convenient volume. Now over more then 1500 pages, the Handbook of Discrete and Computational Geometry, Second Edition once again provides unparalleled, authoritative coverage of theory, methods, and applications. Highlights of the Second Edition: Thirteen new chapters: Five on applications and others on collision detection, nearest neighbors in high-dimensional spaces, curve and surface reconstruction, embeddings of finite metric spaces, polygonal linkages, the discrepancy method, and geometric graph theory Thorough revisions of all remaining chapters Extended coverage of computational geometry software, now comprising two chapters: one on the LEDA and CGAL libraries, the other on additional software Two indices: An Index of Defined Terms and an Index of Cited Authors Greatly expanded bibliographies

Handbook of Discrete and Computational Geometry

Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman
Handbook of Discrete and Computational Geometry Book PDF

Author : Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman
Publisher : CRC Press
Page : 1928 pages
File Size : 45,7 Mb
Release : 2017-11-22
Category : Computers
ISBN : 9781498711425

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Handbook of Discrete and Computational Geometry by Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman Pdf

The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.

Mathematics Unlimited - 2001 and Beyond

Björn Engquist,Wilfried Schmid
Mathematics Unlimited 2001 and Beyond Book PDF

Author : Björn Engquist,Wilfried Schmid
Publisher : Springer
Page : 1219 pages
File Size : 42,8 Mb
Release : 2017-04-05
Category : Mathematics
ISBN : 9783642564789

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Mathematics Unlimited - 2001 and Beyond by Björn Engquist,Wilfried Schmid Pdf

This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future de- velopment as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to in- clude contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Björn Eng- quist, is a world-renowned researcher in computational sci- ence and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewi- se the authors are all foremost mathematicians and scien- tists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduates still choosing their specialty. Limited collector's edition - an exclusive and timeless work. This special, numbered edition will be available until June 1, 2000. Firm orders only.

Quantum Interaction

Harald Atmanspacher,Thomas Filk,Emmanuel Pothos
Quantum Interaction Book PDF

Author : Harald Atmanspacher,Thomas Filk,Emmanuel Pothos
Publisher : Springer
Page : 295 pages
File Size : 54,9 Mb
Release : 2016-01-07
Category : Computers
ISBN : 9783319286754

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Quantum Interaction by Harald Atmanspacher,Thomas Filk,Emmanuel Pothos Pdf

This book constitutes the thoroughly refereed post-conference proceedings of the 9th International Conference on Quantum Interaction, QI 2015, held in Filzbach, Switzerland, in July 2015. The 20 papers together with 2 invited keynotes presented in this book were carefully selected from 27 submissions. Quantum Interaction has developed into an emerging interdisciplinary area of science combining research topics in mathematics, physics, psychology, economics, cognitive science, and computer science.

Combinatorial Commutative Algebra

Ezra Miller,Bernd Sturmfels
Combinatorial Commutative Algebra Book PDF

Author : Ezra Miller,Bernd Sturmfels
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 45,7 Mb
Release : 2005-11-13
Category : Mathematics
ISBN : 9780387271033

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Combinatorial Commutative Algebra by Ezra Miller,Bernd Sturmfels Pdf

Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs

Triangulations

Jesus De Loera,Joerg Rambau,Francisco Santos
Triangulations Book PDF

Author : Jesus De Loera,Joerg Rambau,Francisco Santos
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 41,9 Mb
Release : 2010-08-16
Category : Mathematics
ISBN : 9783642129711

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Triangulations by Jesus De Loera,Joerg Rambau,Francisco Santos Pdf

Triangulations presents the first comprehensive treatment of the theory of secondary polytopes and related topics. The text discusses the geometric structure behind the algorithms and shows new emerging applications, including hundreds of illustrations, examples, and exercises.

Computational Oriented Matroids

Jürgen Bokowski
Computational Oriented Matroids Book PDF

Author : Jürgen Bokowski
Publisher : Cambridge University Press
Page : 294 pages
File Size : 46,5 Mb
Release : 2006-05-08
Category : Computers
ISBN : 9780521849302

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Computational Oriented Matroids by Jürgen Bokowski Pdf

Oriented matroids play the role of matrices in discrete geometry, when metrical properties, such as angles or distances, are neither required nor available. Thus they are of great use in such areas as graph theory, combinatorial optimization and convex geometry. The variety of applications corresponds to the variety of ways they can be defined. Each of these definitions corresponds to a differing data structure for an oriented matroid, and handling them requires computational support, best realised through a functional language. Haskell is used here, and, for the benefit of readers, the book includes a primer on it. The combination of concrete applications and computation, the profusion of illustrations, many in colour, and the large number of examples and exercises make this an ideal introductory text on the subject. It will also be valuable for self-study for mathematicians and computer scientists working in discrete and computational geometry.

Advanced Technologies for Humanity

Rajaa Saidi,Brahim El Bhiri,Yassine Maleh,Ayman Mosallam,Mohammed Essaaidi
Advanced Technologies for Humanity Book PDF

Author : Rajaa Saidi,Brahim El Bhiri,Yassine Maleh,Ayman Mosallam,Mohammed Essaaidi
Publisher : Springer Nature
Page : 563 pages
File Size : 47,9 Mb
Release : 2022-01-29
Category : Technology & Engineering
ISBN : 9783030941888

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Advanced Technologies for Humanity by Rajaa Saidi,Brahim El Bhiri,Yassine Maleh,Ayman Mosallam,Mohammed Essaaidi Pdf

This book gathers the proceedings of the International Conference on Advanced Technologies for Humanity (ICATH’2021), held on November 26-27, 2021, in INSEA, Rabat, Morocco. ICATH’2021 was jointly co-organized by the National Institute of Statistics and Applied Economics (INSEA) in collaboration with the Moroccan School of Engineering Sciences (EMSI), the Hassan II Institute of Agronomy and Veterinary Medicine (IAV-Hassan II), the National Institute of Posts and Telecommunications (INPT), the National School of Mineral Industry (ENSMR), the Faculty of Sciences of Rabat (UM5-FSR), the National School of Applied Sciences of Kenitra (ENSAK) and the Future University in Egypt (FUE). ICATH’2021 was devoted to practical models and industrial applications related to advanced technologies for Humanity. It was considered as a meeting point for researchers and practitioners to enable the implementation of advanced information technologies into various industries. This book is helpful for PhD students as well as researchers. The 48 full papers were carefully reviewed and selected from 105 submissions. The papers presented in the volume are organized in topical sections on synergies between (i) smart and sustainable cities, (ii) communication systems, signal and image processing for humanity, (iii) cybersecurity, database and language processing for human applications, (iV) renewable and sustainable energies, (V) civil engineering and structures for sustainable constructions, (Vi) materials and smart buildings and (Vii) Industry 4.0 for smart factories. All contributions were subject to a double-blind review. The review process was highly competitive. We had to review 105 submissions from 12 countries. A team of over 100 program committee members and reviewers did this terrific job. Our special thanks go to all of them.