Found 47 Documents (Results 1–47)
Closed \(k\)-Schur Katalan functions as \(K\)-homology Schubert representatives of the affine Grassmannian. (English) Zbl 1540.14111
Regularity of matrix Schubert varieties. (English) Zbl 1512.14025
Reviewer: Mee Seong Im (Annapolis)
MSC:
14M15
Generalized quantum Yang-Baxter moves and their application to Schubert calculus. (English. French summary) Zbl 1515.05199
Affine Pieri rule for periodic Macdonald spherical functions and fusion rings. (English) Zbl 1476.05206
The Grassmannian of affine subspaces. (English) Zbl 1485.14096
Reviewer: Emilia Mezzetti (Trieste)
Minuscule Schubert calculus and the geometric Satake correspondence. (English) Zbl 1451.14156
Hu, Jianxun (ed.) et al., Schubert calculus and its applications in combinatorics and representation theory. Selected papers presented at the “International Festival in Schubert Calculus”, Guangzhou, China, November 6–10, 2017. Singapore: Springer. Springer Proc. Math. Stat. 332, 113-151 (2020).
Combinatorial description of the cohomology of the affine flag variety. (English. French summary) Zbl 1440.05234
Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 743-754 (2020).
A Pieri formula and a factorization formula for sums of \(K\)-theoretic \(K\)-Schur functions. (English) Zbl 1421.05096
Applying parabolic Peterson: affine algebras and the quantum cohomology of the Grassmannian. (English) Zbl 1439.14139
Quantum and affine Schubert calculus and Macdonald polynomials. (English) Zbl 1370.14048
Reviewer: Letterio Gatto (Torino)
Pieri rule for the affine flag variety. (English) Zbl 1390.14152
Reviewer: Cenap Özel (Bolu)
Affine charge and the \(k\)-bounded Pieri rule. (English. French summary) Zbl 1335.05226
Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6–10, 2015. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 405-416 (2015).
Pieri rule for the affine flag variety. (English. French summary) Zbl 1335.05222
Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6–10, 2015. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 85-96 (2015).
MSC:
05E15
14N15
Projected Richardson varieties and affine Schubert varieties. (Variétés de Richardson projetées et variétés de Schubert affines.) (English. French summary) Zbl 1350.14035
Variants of the Kakeya problem over an algebraically closed field. (English) Zbl 1307.14084
Reviewer: Hans-Peter Schröcker (Innsbruck)
\(k\)-Schur functions and affine Schubert calculus. (English) Zbl 1360.14004
Fields Institute Monographs 33. New York, NY: Springer; Toronto: The Fields Institute for Research in the Mathematical Sciences (ISBN 978-1-4939-0681-9/hbk; 978-1-4939-0682-6/ebook). viii, 219 p. (2014).
Schubert polynomials and \(k\)-Schur functions (extended abstract). (English) Zbl 1294.05153
Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24–28, 2013. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 337-348, electronic only (2013).
Knuth relations, tableaux and MV-cycles. (English) Zbl 1364.14039
Reviewer: Richárd Rimányi (Chapel Hill)
\(k\)-double Schur functions and equivariant (co)homology of the affine Grassmannian. (English) Zbl 1282.14092
Reviewer: Andrzej Weber (Warszawa)
The down operator and expansions of near rectangular \(k\)-Schur functions. (English) Zbl 1259.05183
Maximal Newton polygons via the quantum Bruhat graph. (English. French summary) Zbl 1440.05196
Proceedings of the 24th international conference on formal power series and algebraic combinatorics, FPSAC 2012, Nagoya, Japan, July 30–August 3, 2012. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 899-910 (2012).
The down operator and expansions of near rectangular \(k\)-Schur functions. (English. French summary) Zbl 1412.05196
Proceedings of the 24th international conference on formal power series and algebraic combinatorics, FPSAC 2012, Nagoya, Japan, July 30–August 3, 2012. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 433-444 (2012).
Equivariant Pieri rule for the homology of the affine Grassmannian. (English) Zbl 1267.14071
Reviewer: Clelia Pech (London)
Stability inequalities and universal Schubert calculus of rank 2. (English) Zbl 1242.14046
Reviewer: Heinrich Reitberger (Innsbruck)
Generating varieties for affine Grassmannians. (English) Zbl 1259.14053
Reviewer: Cenap Özel (Bolu)
Affine insertion and Pieri rules for the affine Grassmannian. (English) Zbl 1208.14002
Mem. Am. Math. Soc. 977, xi, 82 p. (2010).
Reviewer: Letterio Gatto (Trino)
Schubert calculus and representations of the general linear group. (English) Zbl 1205.17026
Reviewer: Volodymyr Mazorchuk (Uppsala)
Schubert polynomials for the affine Grassmannian. (English) Zbl 1149.05045
Reviewer: Shrawan Kumar (Chapel Hill)
Combinatorial integers \(\binom{m,n}{j}\) and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds. (English) Zbl 1134.22017
Reviewer: Jörg Winkelmann (Bayreuth)
Equivariant cohomology of Bott towers and equivariant Schubert calculus. (Cohomologie équivariante des tours de Bott et calcul de Schubert équivariant.) (French) Zbl 1087.55005
Reviewer: Vladimir L. Popov (Moskva)
The development of standard monomial theory. II. (English) Zbl 1056.14066
Lakshmibai, V. (ed.) et al., A tribute to C. S. Seshadri. A collection of articles on geometry and representation theory. Basel: Birkhäuser (ISBN 3-7643-0444-8/hbk). Trends in Mathematics, 283-309 (2003).
Reviewer: Ivan V. Arzhantsev (Moskva)
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