MARC Record from harvard_bibliographic_metadata

LEADER: 02147cam a2200325Ia 4500
001 014106251-7
005 20141016110002.0
008 140210s2014 nyu b 000 0 eng d
020 $a9781493906819
020 $a149390681X
035 0 $aocn870290789
040 $aBTCTA$beng$cBTCTA$dYDXCP$dCDX$dEYM$dOCLCO$dLTSCA$dLHU
050 4 $aQA331.7$b.K734 2014
082 4 $a516.4$b23
245 00 $aK-schur functions and affine Schubert calculus /$cThomas Lam ... [et al.].
260 $aNew York :$bSpringer,$cc2014.
300 $aviii, 219 p. ;$c25 cm.
490 1 $aFields Institute monographs ;$vv. 33
504 $aIncludes bibliographical references (p. 213-219).
505 0 $a1. Introduction -- 2. Primer on k-Schur Functions -- 3. Stanley symmetric functions and Peterson algebras -- 4. Affine Schubert calculus.
520 $aThis 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.
520 $aThis 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."--pub. desc.
650 0 $aSchur functions.
650 0 $aGeometry, Algebraic.
700 1 $aLam, Thomas,$d1980-
830 0 $aFields Institute monographs ;$v33.
899 $a415_565982
988 $a20140702
049 $aHLSS
906 $0OCLC