Recent Trends in Algebraic Combinatorics

Recent Trends in Algebraic Combinatorics
Author: Hélène Barcelo,Gizem Karaali,Rosa Orellana
Publsiher: Springer
Total Pages: 362
Release: 2019-01-21
Genre: Mathematics
ISBN: 9783030051419

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This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools. Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics.

Recent Trends in Algebraic Combinatorics

Recent Trends in Algebraic Combinatorics
Author: Hélène Barcelo,Gizem Karaali,Rosa Orellana
Publsiher: Unknown
Total Pages: 362
Release: 2019
Genre: Combinatorial analysis
ISBN: 3030051420

Download Recent Trends in Algebraic Combinatorics Book in PDF, Epub and Kindle

This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools.

Algebraic Combinatorics

Algebraic Combinatorics
Author: Chris Godsil
Publsiher: CRC Press
Total Pages: 382
Release: 1993-04-01
Genre: Mathematics
ISBN: 0412041316

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This book presents an introduction to some of the interactions between algebra and combinatorics. It focuses on the characteristic and matchings polynomials of a graph and introduces the theory of polynomial spaces. The book is intended for beginning graduate students in mathematics.

New Trends In Algebras And Combinatorics Proceedings Of The Third International Congress In Algebras And Combinatorics Icac2017

New Trends In Algebras And Combinatorics   Proceedings Of The Third International Congress In Algebras And Combinatorics  Icac2017
Author: Shum Kar Ping,Zelmanov Efim,Kolesnikov Pavel,Wong Anita S M
Publsiher: World Scientific
Total Pages: 500
Release: 2020-02-18
Genre: Mathematics
ISBN: 9789811215483

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This volume composed of twenty four research articles which are selected from the keynote speakers and invited lectures presented in the 3rd International Congress in Algebra and Combinatorics (ICAC2017) held on 25-28 August 2017 in Hong Kong and one additional invited article. This congress was specially dedicated to Professor Leonid Bokut on the occasion of his 80th birthday.

Formal Power Series and Algebraic Combinatorics

Formal Power Series and Algebraic Combinatorics
Author: Daniel Krob,Alexander A. Mikhalev,Alexander V. Mikhalev
Publsiher: Springer Science & Business Media
Total Pages: 815
Release: 2013-03-09
Genre: Mathematics
ISBN: 9783662041666

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This book contains the extended abstracts presented at the 12th International Conference on Power Series and Algebraic Combinatorics (FPSAC '00) that took place at Moscow State University, June 26-30, 2000. These proceedings cover the most recent trends in algebraic and bijective combinatorics, including classical combinatorics, combinatorial computer algebra, combinatorial identities, combinatorics of classical groups, Lie algebra and quantum groups, enumeration, symmetric functions, young tableaux etc...

Recent Trends in Combinatorics

Recent Trends in Combinatorics
Author: Andrew Beveridge,Jerrold R. Griggs,Leslie Hogben,Gregg Musiker,Prasad Tetali
Publsiher: Springer
Total Pages: 778
Release: 2016-04-12
Genre: Mathematics
ISBN: 9783319242989

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This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The three-part structure of the volume reflects the three workshops held during Fall 2014. In the first part, topics on extremal and probabilistic combinatorics are presented; part two focuses on additive and analytic combinatorics; and part three presents topics in geometric and enumerative combinatorics. This book will be of use to those who research combinatorics directly or apply combinatorial methods to other fields.

Combinatorial Methods in Topology and Algebra

Combinatorial Methods in Topology and Algebra
Author: Bruno Benedetti,Emanuele Delucchi,Luca Moci
Publsiher: Springer
Total Pages: 227
Release: 2015-10-31
Genre: Mathematics
ISBN: 9783319201559

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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.

New Perspectives in Algebraic Combinatorics

New Perspectives in Algebraic Combinatorics
Author: Louis J. Billera,Anders Björner,Curtis Greene,Rodica E. Simion,Richard P. Stanley
Publsiher: Cambridge University Press
Total Pages: 0
Release: 2011-02-17
Genre: Mathematics
ISBN: 0521179793

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During 1996-97 MSRI held a full academic-year program on combinatorics, with special emphasis on its connections to other branches of mathematics, such as algebraic geometry, topology, commutative algebra, representation theory, and convex geometry. The rich combinatorial problems arising from the study of various algebraic structures are the subject of this book, which features work done or presented at the program's seminars. The text contains contributions on matroid bundles, combinatorial representation theory, lattice points in polyhedra, bilinear forms, combinatorial differential topology and geometry, Macdonald polynomials and geometry, enumeration of matchings, the generalized Baues problem, and Littlewood-Richardson semigroups. These expository articles, written by some of the most respected researchers in the field, present the state of the art to graduate students and researchers in combinatorics as well as in algebra, geometry, and topology.