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Schubert Calculus and Its Applications in Combinatorics and Representation Theory - Guangzhou, China, November 2017 (Hardcover, 1st ed. 2020)
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Schubert Calculus and Its Applications in Combinatorics and Representation Theory - Guangzhou, China, November 2017 (Hardcover, 1st ed. 2020)
Series: Springer Proceedings in Mathematics & Statistics, 332
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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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