Combinatorial Structures In Algebra And Geometry PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Combinatorial Structures In Algebra And Geometry PDF full book. Access full book title Combinatorial Structures In Algebra And Geometry.
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 | : Jiří Matousek |
Publisher | : Springer |
Total Pages | : 156 |
Release | : 2015-04-09 |
Genre | : Mathematics |
ISBN | : 887642525X |
Download Geometry, Structure and Randomness in Combinatorics Book in PDF, ePub and Kindle
This book collects some surveys on current trends in discrete mathematics and discrete geometry. The areas covered include: graph representations, structural graphs theory, extremal graph theory, Ramsey theory and constrained satisfaction problems.
Author | : Christopher Francisco |
Publisher | : Walter de Gruyter |
Total Pages | : 377 |
Release | : 2012-04-26 |
Genre | : Mathematics |
ISBN | : 3110250403 |
Download Progress in Commutative Algebra 1 Book in PDF, ePub and Kindle
This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains combinatorial and homological surveys. The combinatorial papers document some of the increasing focus in commutative algebra recently on the interaction between algebra and combinatorics. Specifically, one can use combinatorial techniques to investigate resolutions and other algebraic structures as with the papers of Fløystad on Boij-Söderburg theory, of Geramita, Harbourne and Migliore, and of Cooper on Hilbert functions, of Clark on minimal poset resolutions and of Mermin on simplicial resolutions. One can also utilize algebraic invariants to understand combinatorial structures like graphs, hypergraphs, and simplicial complexes such as in the paper of Morey and Villarreal on edge ideals. Homological techniques have become indispensable tools for the study of noetherian rings. These ideas have yielded amazing levels of interaction with other fields like algebraic topology (via differential graded techniques as well as the foundations of homological algebra), analysis (via the study of D-modules), and combinatorics (as described in the previous paragraph). The homological articles the editors have included in this volume relate mostly to how homological techniques help us better understand rings and singularities both noetherian and non-noetherian such as in the papers by Roberts, Yao, Hummel and Leuschke.
Author | : Aldo Conca |
Publisher | : Springer |
Total Pages | : 245 |
Release | : 2014-05-15 |
Genre | : Mathematics |
ISBN | : 3319048708 |
Download Combinatorial Algebraic Geometry Book in PDF, ePub and Kindle
Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions and enumerative geometry. The aim of this volume is to introduce recent developments in combinatorial algebraic geometry and to approach algebraic geometry with a view towards applications, such as tensor calculus and algebraic statistics. A common theme is the study of algebraic varieties endowed with a rich combinatorial structure. Relevant techniques include polyhedral geometry, free resolutions, multilinear algebra, projective duality and compactifications.
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 | : A. Barlotti |
Publisher | : Elsevier |
Total Pages | : 303 |
Release | : 2012-01-25 |
Genre | : Mathematics |
ISBN | : 0080871747 |
Download Combinatorial and Geometric Structures and Their Applications Book in PDF, ePub and Kindle
Combinatorial and Geometric Structures and Their Applications
Author | : Naihuan Jing |
Publisher | : World Scientific |
Total Pages | : 171 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9812384464 |
Download Algebraic Combinatorics and Quantum Groups Book in PDF, ePub and Kindle
Algebraic combinatorics has evolved into one of the most active areas of mathematics during the last several decades. Its recent developments have become more interactive with not only its traditional field representation theory but also algebraic geometry, harmonic analysis and mathematical physics.This book presents articles from some of the key contributors in the area. It covers Hecke algebras, Hall algebras, the Macdonald polynomial and its deviations, and their relations with other fields.
Author | : Gunnar Fløystad |
Publisher | : Springer Science & Business Media |
Total Pages | : 186 |
Release | : 2011-05-16 |
Genre | : Mathematics |
ISBN | : 3642194923 |
Download Combinatorial Aspects of Commutative Algebra and Algebraic Geometry Book in PDF, ePub and Kindle
The Abel Symposium 2009 "Combinatorial aspects of Commutative Algebra and Algebraic Geometry", held at Voss, Norway, featured talks by leading researchers in the field. This is the proceedings of the Symposium, presenting contributions on syzygies, tropical geometry, Boij-Söderberg theory, Schubert calculus, and quiver varieties. The volume also includes an introductory survey on binomial ideals with applications to hypergeometric series, combinatorial games and chemical reactions. The contributions pose interesting problems, and offer up-to-date research on some of the most active fields of commutative algebra and algebraic geometry with a combinatorial flavour.
Author | : Vladimir Shpilrain |
Publisher | : Springer Science & Business Media |
Total Pages | : 322 |
Release | : 2012-11-12 |
Genre | : Mathematics |
ISBN | : 038721724X |
Download Combinatorial Methods Book in PDF, ePub and Kindle
The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century.
Author | : Bruno Benedetti |
Publisher | : Springer |
Total Pages | : 222 |
Release | : 2015-10-31 |
Genre | : Mathematics |
ISBN | : 3319201557 |
Download Combinatorial Methods in Topology and Algebra Book in PDF, ePub and Kindle
Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory. The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.