Recent Trends in Algebraic Combinatorics

 
 
Springer (Verlag)
  • erschienen am 18. Februar 2019
 
  • Buch
  • |
  • Hardcover
  • |
  • VII, 362 Seiten
978-3-030-05140-2 (ISBN)
 
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.
Book
2019
  • Englisch
  • Cham
  • |
  • Schweiz
Springer International Publishing
  • Für Beruf und Forschung
  • 100 s/w Abbildungen, 33 farbige Abbildungen
  • |
  • 41 schwarz-weiße und 27 farbige Abbildungen, Bibliographie
  • Höhe: 241 mm
  • |
  • Breite: 159 mm
  • |
  • Dicke: 30 mm
  • 705 gr
978-3-030-05140-2 (9783030051402)
10.1007/978-3-030-05141-9
weitere Ausgaben werden ermittelt

Preface.- Benkart, G. and Halverson, T.: Partition Algebras and the Invariant Theory of the Symmetric Group.- Chen, L. and Tymoczko, J.: Affine Grassmannians and Hessenberg Schubert Cells.- Fishel, S.: A Survey of the Shi Arrangement.- Gillespie, M.: Variations on a Theme of Schubert Calculus.- Hicks, A.: Combinatorics of the Diagonal Harmonics.- Liu, F.: On Positivity of Ehrhart Polynomials.- Mason, S. K.: Recent Trends in Quasisymmetric Functions.- Mishna, M. J.: On Standard Young Tableaux of Bounded Height.- Novik, I.: A Tale of Centrally Symmetric Polytopes and Spheres.- Puskas, A.: Crystal Constructions in Number Theory.
"This is a collection of nine independent research papers. ... the main use of the book will be as reference material. The individual chapters will be useful tools for researchers working in relevant fields." (Miklos Bon, MAA Reviews, June 03, 2019)
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.

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