MARC Record from Library of Congress

LEADER: 02387cam a22003257a 4500
001 2014934668
003 DLC
005 20150724085954.0
008 140304s2014 nyua b 000 0 eng d
010 $a 2014934668
020 $a9781493906819 (alk. paper)
020 $a149390681X (alk. paper)
035 $a(OCoLC)ocn870290789
040 $aBTCTA$beng$cBTCTA$dYDXCP$dCDX$dEYM$dOCLCO$dLTSCA$dLHU$dOCLCF$dDLC
042 $alccopycat
050 00 $aQA331.7$b.K75 2014
245 00 $aK-Schur functions and affine Schubert calculus /$cThomas Lam ... [et al.].
260 $aToronto :$bFields Institute for Research in Mathematical Sciences ;$aNew York :$bSpringer,$cc2014.
300 $aviii, 219 p. :$bill. ;$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 $aThis book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry, and representation theory. Its modern development is motivated by two seemingly unrelated directions. One is the introduction of k-Schur functions in the study of Macdonald polynomial positivity, a mostly combinatorial branch of symmetric function theory. The other direction is the study of the Schubert bases of the (co)homology of the affine Grassmannian, an algebro-topological formulation of a problem in enumerative geometry. --$cSource other than Library of Congress.
520 $aThis is the first introductory text on this subject. It contains many examples in Sage, a free open source general purpose mathematical software system, to entice the reader to investigate the open problems. This book is written for advanced undergraduate and graduate students, as well as researchers, who want to become familiar with this fascinating new field."--$cPub. desc.
650 0 $aSchur functions.
650 0 $aGeometry, Algebraic.
650 7 $aGeometry, Algebraic.$2fast$0(OCoLC)fst00940902
650 7 $aSchur functions.$2fast$0(OCoLC)fst01108132
700 1 $aLam, Thomas,$d1980-
830 0 $aFields Institute monographs ;$v33.