Interactions with Lattice Polytopes

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Publisher : Springer Nature
ISBN 13 : 3030983277
Total Pages : 368 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Interactions with Lattice Polytopes by : Alexander M. Kasprzyk

Download or read book Interactions with Lattice Polytopes written by Alexander M. Kasprzyk and published by Springer Nature. This book was released on 2022-06-08 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : World Scientific
ISBN 13 : 9811200491
Total Pages : 476 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Algebraic And Geometric Combinatorics On Lattice Polytopes - Proceedings Of The Summer Workshop On Lattice Polytopes by : Hibi Takayuki

Download or read book Algebraic And Geometric Combinatorics On Lattice Polytopes - Proceedings Of The Summer Workshop On Lattice Polytopes written by Hibi Takayuki and published by World Scientific. This book was released on 2019-05-30 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821849603
Total Pages : 273 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory by : Abhijit Champanerkar

Download or read book Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory written by Abhijit Champanerkar and published by American Mathematical Soc.. This book was released on 2011 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lattice Polytopes in Geometry and Algebra

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Publisher :
ISBN 13 :
Total Pages : 235 pages
Book Rating : 4.:/5 (881 download)

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Book Synopsis Lattice Polytopes in Geometry and Algebra by : Andreas Paffenholz

Download or read book Lattice Polytopes in Geometry and Algebra written by Andreas Paffenholz and published by . This book was released on 2014 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interactions of Classical and Numerical Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847465
Total Pages : 379 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Interactions of Classical and Numerical Algebraic Geometry by : Daniel James Bates

Download or read book Interactions of Classical and Numerical Algebraic Geometry written by Daniel James Bates and published by American Mathematical Soc.. This book was released on 2009-09-16 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Springer Science & Business Media
ISBN 13 : 0387763562
Total Pages : 461 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Polytopes, Rings, and K-Theory by : Winfried Bruns

Download or read book Polytopes, Rings, and K-Theory written by Winfried Bruns and published by Springer Science & Business Media. This book was released on 2009-06-12 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : World Scientific
ISBN 13 : 9814277835
Total Pages : 422 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Fundamental Interactions by : Daniel Grumiller

Download or read book Fundamental Interactions written by Daniel Grumiller and published by World Scientific. This book was released on 2010 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Lattice Polytopes with Distinct Pair-sums

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (932 download)

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Book Synopsis Lattice Polytopes with Distinct Pair-sums by :

Download or read book Lattice Polytopes with Distinct Pair-sums written by and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic and Geometric Combinatorics on Lattice Polytopes

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Publisher : World Scientific Publishing Company
ISBN 13 : 9789811200472
Total Pages : 0 pages
Book Rating : 4.2/5 (4 download)

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Book Synopsis Algebraic and Geometric Combinatorics on Lattice Polytopes by : Takayuki Hibi

Download or read book Algebraic and Geometric Combinatorics on Lattice Polytopes written by Takayuki Hibi and published by World Scientific Publishing Company. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of research papers and expository survey articles presented by the invited speakers of the workshop 'Algebraic and Geometric Combinatorics 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 development of many research areas surrounding lattice polytopes. With the survey articles, research papers and open problems, graduate students can learn fundamental materials on lattice polytopes and researchers can find exciting activities and avenues for further exploration on lattice polytopes.

Lattice Points Inside Lattice Polytopes

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Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (762 download)

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Book Synopsis Lattice Points Inside Lattice Polytopes by : Oleg Pikhurko

Download or read book Lattice Points Inside Lattice Polytopes written by Oleg Pikhurko and published by . This book was released on 2000 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lattice Polytopes and Triangulations

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Publisher :
ISBN 13 :
Total Pages : 81 pages
Book Rating : 4.:/5 (916 download)

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Book Synopsis Lattice Polytopes and Triangulations by :

Download or read book Lattice Polytopes and Triangulations written by and published by . This book was released on 2000 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singularities and Their Interaction with Geometry and Low Dimensional Topology

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Publisher : Springer Nature
ISBN 13 : 3030619583
Total Pages : 332 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Singularities and Their Interaction with Geometry and Low Dimensional Topology by : Javier Fernández de Bobadilla

Download or read book Singularities and Their Interaction with Geometry and Low Dimensional Topology written by Javier Fernández de Bobadilla and published by Springer Nature. This book was released on 2021-05-27 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Covering Properties of Lattice Polytopes

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (114 download)

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Book Synopsis Covering Properties of Lattice Polytopes by : Giulia Codenotti

Download or read book Covering Properties of Lattice Polytopes written by Giulia Codenotti and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Properties of Lattice Polytopes Coming from Graphs

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Algebraic Properties of Lattice Polytopes Coming from Graphs by : Max Kölbl

Download or read book Algebraic Properties of Lattice Polytopes Coming from Graphs written by Max Kölbl and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computing the Continuous Discretely

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Publisher : Springer
ISBN 13 : 1493929690
Total Pages : 295 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Computing the Continuous Discretely by : Matthias Beck

Download or read book Computing the Continuous Discretely written by Matthias Beck and published by Springer. This book was released on 2015-11-14 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. For scientists, this text can be utilized as a self-contained tooling device. The topics include a friendly invitation to Ehrhart’s theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, Euler–Maclaurin summation for polytopes, computational geometry, magic squares, zonotopes, and more. With more than 300 exercises and open research problems, the reader is an active participant, carried through diverse but tightly woven mathematical fields that are inspired by an innocently elementary question: What are the relationships between the continuous volume of a polytope and its discrete volume? Reviews of the first edition: “You owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.” — MAA Reviews “The book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the mate rial, exercises, open problems and an extensive bibliography.” — Zentralblatt MATH “This beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.” — Mathematical Reviews “Many departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying way. Beck and Robins have written the perfect text for such a course.” — CHOICE

Convex Lattice Polytopes

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Publisher :
ISBN 13 :
Total Pages : 161 pages
Book Rating : 4.:/5 (46 download)

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Book Synopsis Convex Lattice Polytopes by : Stanley Rabinowtiz

Download or read book Convex Lattice Polytopes written by Stanley Rabinowtiz and published by . This book was released on 1986 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unimodular Covers and Triangulations of Lattice Polytopes

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (255 download)

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Book Synopsis Unimodular Covers and Triangulations of Lattice Polytopes by : Michael von Thaden

Download or read book Unimodular Covers and Triangulations of Lattice Polytopes written by Michael von Thaden and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: