LEADER 03810oam 2200541 450 001 996418183003316 005 20210417121347.0 010 $a981-15-7451-0 024 7 $a10.1007/978-981-15-7451-1 035 $a(CKB)4100000011526790 035 $a(MiAaPQ)EBC6380980 035 $a(DE-He213)978-981-15-7451-1 035 $a(PPN)258305258 035 $a(EXLCZ)994100000011526790 100 $a20210417d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aSchubert calculus and its applications in combinatorics and representation theory $eGuangzhou, China, November 2017 /$fJianxun Hu, Changzheng Li, Leonardo C. Mihalcea, editors 205 $a1st ed. 2020. 210 1$aSingapore :$cSpringer,$d[2020] 210 4$d©2020 215 $a1 online resource (VIII, 365 p. 116 illus., 30 illus. in color.) 225 1 $aSpringer proceedings in mathematics & statistics ;$vVolume 332 311 $a981-15-7450-2 320 $aIncludes bibliographical references. 327 $aT. Matsumura, S. Sugimoto, Factorial Flagged Grothendieck Polynomials -- L. Darondeau and P. Pragacz, Flag Bundles, Segre Polynomials, and Push-Forwards -- W. Domitrz, P. Mormul and P. Pragacz, Order of tangency between manifolds -- H. Duan and X. Zhao, On Schubert?s Problem of Characteristics -- O. Pechenik and D. Searles, Asymmetric Function Theory -- D. Anderson and A. Nigro, Minuscule Schubert Calculus and the Geometric Satake Correspondence -- F. McGlade, A. Ram and Y. Yang, Positive level, negative level and level zero -- C. su and C. Zhong, Stable Bases of the Springer Resolution and Representation Theory -- L. M. Fehér, R. Rimányi and A. Weber, Characteristic Classes of Orbit Stratifications, the Axiomatic Approach -- H. Abe and T. Horiguchi, A Survey of Recent Developments on Hessenberg Varieties -- T. Hudson, T. Matsumura and N. Perrin, Stability of Bott?Samelson Classes in Algebraic Cobordism -- B. Kim, J. Oh, K. Ueda, and Y. Yoshida, Residue Mirror Symmetry for Grassmannians. 330 $aThis book gathers research papers and surveys on the latest advances in Schubert Calculus, presented at the International Festival in Schubert Calculus, held in Guangzhou, China on November 6?10, 2017. With roots in enumerative geometry and Hilbert's 15th problem, modern Schubert Calculus studies classical and quantum intersection rings on spaces with symmetries, such as flag manifolds. The presence of symmetries leads to particularly rich structures, and it connects Schubert Calculus to many branches of mathematics, including algebraic geometry, combinatorics, representation theory, and theoretical physics. For instance, the study of the quantum cohomology ring of a Grassmann manifold combines all these areas in an organic way. The book is useful for researchers and graduate students interested in Schubert Calculus, and more generally in the study of flag manifolds in relation to algebraic geometry, combinatorics, representation theory and mathematical physics. . 410 0$aSpringer proceedings in mathematics & statistics ;$vVolume 332. 606 $aGlobal analysis (Mathematics) 606 $aManifolds (Mathematics) 606 $aGeometry, Algebraic$vCongresses 615 0$aGlobal analysis (Mathematics) 615 0$aManifolds (Mathematics) 615 0$aGeometry, Algebraic 676 $a516.35 702 $aHu$b Jianxun 702 $aLi$b Changzheng 702 $aMihalcea$b Leonardo C. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bUtOrBLW 906 $aBOOK 912 $a996418183003316 996 $aSchubert calculus and its applications in combinatorics and representation theory$92240106 997 $aUNISA