LEADER 03750nam 22005175 450 001 9910338247303321 005 20200706052112.0 010 $a3-030-05141-2 024 7 $a10.1007/978-3-030-05141-9 035 $a(CKB)4100000007522576 035 $a(DE-He213)978-3-030-05141-9 035 $a(MiAaPQ)EBC5646090 035 $a(PPN)233799087 035 $a(EXLCZ)994100000007522576 100 $a20190121d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRecent Trends in Algebraic Combinatorics /$fedited by Hélène Barcelo, Gizem Karaali, Rosa Orellana 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (VII, 362 p. 133 illus., 33 illus. in color.) 225 1 $aAssociation for Women in Mathematics Series,$x2364-5733 ;$v16 311 $a3-030-05140-4 327 $aPreface -- 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. 330 $aThis edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools. Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics. . 410 0$aAssociation for Women in Mathematics Series,$x2364-5733 ;$v16 606 $aCombinatorics 606 $aAlgebra 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000 615 0$aCombinatorics. 615 0$aAlgebra. 615 14$aCombinatorics. 615 24$aAlgebra. 676 $a511.6 676 $a511.6 702 $aBarcelo$b Hélène$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKaraali$b Gizem$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aOrellana$b Rosa$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910338247303321 996 $aRecent Trends in Algebraic Combinatorics$91733515 997 $aUNINA