03810oam 2200541 450 99641818300331620210417121347.0981-15-7451-010.1007/978-981-15-7451-1(CKB)4100000011526790(MiAaPQ)EBC6380980(DE-He213)978-981-15-7451-1(PPN)258305258(EXLCZ)99410000001152679020210417d2020 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSchubert calculus and its applications in combinatorics and representation theory Guangzhou, China, November 2017 /Jianxun Hu, Changzheng Li, Leonardo C. Mihalcea, editors1st ed. 2020.Singapore :Springer,[2020]©20201 online resource (VIII, 365 p. 116 illus., 30 illus. in color.) Springer proceedings in mathematics & statistics ;Volume 332981-15-7450-2 Includes bibliographical references.T. 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.This 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. .Springer proceedings in mathematics & statistics ;Volume 332.Global analysis (Mathematics)Manifolds (Mathematics)Geometry, AlgebraicCongressesGlobal analysis (Mathematics)Manifolds (Mathematics)Geometry, Algebraic516.35Hu JianxunLi ChangzhengMihalcea Leonardo C.MiAaPQMiAaPQUtOrBLWBOOK996418183003316Schubert calculus and its applications in combinatorics and representation theory2240106UNISA