Connections Between Algebra Combinatorics And Geometry PDF Download
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Author | : Susan M. Cooper |
Publisher | : Springer |
Total Pages | : 328 |
Release | : 2014-05-16 |
Genre | : Mathematics |
ISBN | : 1493906267 |
Download Connections Between Algebra, Combinatorics, and Geometry Book in PDF, ePub and Kindle
Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra, which was part of the CMS Summer Meeting at the University of Regina held June 2–3, 2012, and the meeting Further Connections Between Algebra and Geometry, which was held at the North Dakota State University February 23, 2013. This volume highlights three mini-courses in the areas of commutative algebra and algebraic geometry: differential graded commutative algebra, secant varieties, and fat points and symbolic powers. It will serve as a useful resource for graduate students and researchers who wish to expand their knowledge of commutative algebra, algebraic geometry, combinatorics, and the intricacies of their intersection.
Author | : Günter Ewald |
Publisher | : Springer Science & Business Media |
Total Pages | : 378 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461240441 |
Download Combinatorial Convexity and Algebraic Geometry Book in PDF, ePub and Kindle
The book is an introduction to the theory of convex polytopes and polyhedral sets, to algebraic geometry, and to the connections between these fields, known as the theory of toric varieties. The first part of the book covers the theory of polytopes and provides large parts of the mathematical background of linear optimization and of the geometrical aspects in computer science. The second part introduces toric varieties in an elementary way.
Author | : Francois Bergeron |
Publisher | : CRC Press |
Total Pages | : 227 |
Release | : 2009-07-06 |
Genre | : Mathematics |
ISBN | : 1439865078 |
Download Algebraic Combinatorics and Coinvariant Spaces Book in PDF, ePub and Kindle
Written for graduate students in mathematics or non-specialist mathematicians who wish to learn the basics about some of the most important current research in the field, this book provides an intensive, yet accessible, introduction to the subject of algebraic combinatorics. After recalling basic notions of combinatorics, representation theory, and
Author | : Seok-Jin Kang |
Publisher | : American Mathematical Soc. |
Total Pages | : 202 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821832123 |
Download Combinatorial and Geometric Representation Theory Book in PDF, ePub and Kindle
This volume presents the proceedings of the international conference on Combinatorial and Geometric Representation Theory. In the field of representation theory, a wide variety of mathematical ideas are providing new insights, giving powerful methods for understanding the theory, and presenting various applications to other branches of mathematics. Over the past two decades, there have been remarkable developments. This book explains the strong connections between combinatorics, geometry, and representation theory. It is suitable for graduate students and researchers interested in representation theory.
Author | : Enrico Carlini |
Publisher | : Springer Nature |
Total Pages | : 162 |
Release | : 2020-05-21 |
Genre | : Mathematics |
ISBN | : 3030452476 |
Download Ideals of Powers and Powers of Ideals Book in PDF, ePub and Kindle
This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, combinatorics and geometry – and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and explains the evolution of ideals associated with combinatorial objects like graphs or hypergraphs in terms of the original combinatorial objects. It also addresses similar questions concerning our understanding of the Castelnuovo-Mumford regularity of powers of combinatorially defined ideals in terms of the associated combinatorial data. From a more geometric point of view, the book considers how the relations between symbolic and regular powers can be interpreted in geometrical terms. Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes.
Author | : Emily H. Moore |
Publisher | : |
Total Pages | : 298 |
Release | : 2013 |
Genre | : MATHEMATICS |
ISBN | : 9781470409739 |
Download Difference Sets Book in PDF, ePub and Kindle
Difference sets belong both to group theory and to combinatorics. Studying them requires tools from geometry, number theory, and representation theory. This book lays a foundation for these topics, including a primer on representations and characters of finite groups. It makes the research literature on difference sets accessible to students who have studied linear algebra and abstract algebra, and it prepares them to do their own research. This text is suitable for an undergraduate capstone course, since it illuminates the many links among topics that the students have already studied. To thi.
Author | : Louis J. Billera |
Publisher | : Cambridge University Press |
Total Pages | : 360 |
Release | : 1999-09-28 |
Genre | : Mathematics |
ISBN | : 9780521770873 |
Download New Perspectives in Algebraic Combinatorics Book in PDF, ePub and Kindle
This text contains expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.
Author | : Richard P. Stanley |
Publisher | : Springer Science & Business Media |
Total Pages | : 226 |
Release | : 2013-06-17 |
Genre | : Mathematics |
ISBN | : 1461469988 |
Download Algebraic Combinatorics Book in PDF, ePub and Kindle
Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author’s extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound knowledge to mathematical, engineering, and business models. The text is primarily intended for use in a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints to selected exercises. Key topics include walks on graphs, cubes and the Radon transform, the Matrix–Tree Theorem, and the Sperner property. There are also three appendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the enumeration of labeled trees. Richard Stanley is currently professor of Applied Mathematics at the Massachusetts Institute of Technology. Stanley has received several awards including the George Polya Prize in applied combinatorics, the Guggenheim Fellowship, and the Leroy P. Steele Prize for mathematical exposition. Also by the author: Combinatorics and Commutative Algebra, Second Edition, © Birkhauser.
Author | : Dumitru I. Stamate |
Publisher | : Springer Nature |
Total Pages | : 182 |
Release | : 2020-09-01 |
Genre | : Mathematics |
ISBN | : 3030521117 |
Download Combinatorial Structures in Algebra and Geometry Book in PDF, ePub and Kindle
This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanța, Romania, on August 26-September 1, 2018. The works cover three fields of mathematics: algebra, geometry and discrete mathematics, discussing the latest developments in the theory of monomial ideals, algebras of graphs and local positivity of line bundles. Whereas interactions between algebra and geometry go back at least to Hilbert, the ties to combinatorics are much more recent and are subject of immense interest at the forefront of contemporary mathematics research. Transplanting methods between different branches of mathematics has proved very fruitful in the past – for example, the application of fixed point theorems in topology to solving nonlinear differential equations in analysis. Similarly, combinatorial structures, e.g., Newton-Okounkov bodies, have led to significant advances in our understanding of the asymptotic properties of line bundles in geometry and multiplier ideals in algebra. This book is intended for advanced graduate students, young scientists and established researchers with an interest in the overlaps between different fields of mathematics. A volume for the 24th edition of this conference was previously published with Springer under the title "Multigraded Algebra and Applications" (ISBN 978-3-319-90493-1).
Author | : STUART. SALIOLA MARGOLIS (FRANCO. STEINBERG, BENJAMIN.) |
Publisher | : |
Total Pages | : |
Release | : 2021 |
Genre | : |
ISBN | : 9781470469146 |
Download Cell Complexes, Poset Topology and the Representation Theory of Algebras Arising in Algebraic Combinatorics and Discrete Geometry Book in PDF, ePub and Kindle