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Schubert Calculus and Its Applications in Combinatorics and Representation Theory: Guangzhou, China, November 2017 de Jianxun Hu

Schubert Calculus and Its Applications in Combinatorics and Representation Theory: Guangzhou, China, November 2017: Springer Proceedings in Mathematics & Statistics, cartea 332

Editat de Jianxun Hu, Changzheng Li, Leonardo C. Mihalcea
en Limba Engleză Paperback – 26 oct 2021
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. 
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Specificații

ISBN-13: 9789811574535
ISBN-10: 9811574537
Ilustrații: VIII, 365 p. 116 illus., 30 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.53 kg
Ediția:1st ed. 2020
Editura: Springer Nature Singapore
Colecția Springer
Seria Springer Proceedings in Mathematics & Statistics

Locul publicării:Singapore, Singapore

Cuprins

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, ResidueMirror Symmetry for Grassmannians.

Textul de pe ultima copertă

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. 

Caracteristici

Showcases the latest advances of the major topics in Schubert Calculus Provides an overview of the emerging trends in Schubert Calculus Includes world-leading researchers in Schubert Calculus