k-Schur Functions and Affine Schubert Calculus

Name: k-Schur Functions and Affine Schubert Calculus
SKU: 25841010
Price: 288.99 AUD
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Paperback / softback

Series:

Fields Institute Monographs

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Description

This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry, and representation theory. Its modern development is motivated by two seemingly unrelated directions. One is the introduction of k-Schur functions in the study of Macdonald polynomial positivity, a mostly combinatorial branch of symmetric function theory. The other direction is the study of the Schubert bases of the (co)homology of the affine Grassmannian, an algebro-topological formulation of a problem in enumerative geometry. This is the first introductory text on this subject. It contains many examples in Sage, a free open source general purpose mathematical software system, to entice the reader to investigate the open problems. This book is written for advanced undergraduate and graduate students, as well as researchers,who want to become familiar with this fascinating new field.

Release date Australia

September 3rd, 2016

Author

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 2014

Illustrations

126 Illustrations, black and white; VIII, 219 p. 126 illus.

Pages

219

Series

Fields Institute Monographs

Dimensions

155x235x12

ISBN-13

9781493949724

Product ID

25841010

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