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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics V. Gorbounov and C. Korff. ''Quantum integrability and generalised quantum Schubert calculus''. Adv. Math. 313 (2017), pp. 282--356.DOI. Grassmannians, Schubert varieties, flag manifolds, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Bordism and cobordism theories and formal group laws in algebraic topology, Symmetric functions and generalizations, Exactly solvable models; Bethe ansatz, Equivariant \(K\)-theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Algebraic systems of matrices, Semigroups of transformations, relations, partitions, etc., Grassmannians, Schubert varieties, flag manifolds, Representation of semigroups; actions of semigroups on sets
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Rational and ruled surfaces, Grassmannians, Schubert varieties, flag manifolds, Eigenvalues, singular values, and eigenvectors, Multilinear algebra, tensor calculus
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Stabilization of systems by feedback, Linear systems in control theory, Multivariable systems, multidimensional control systems, Grassmannians, Schubert varieties, flag manifolds, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Hong, J., Smooth horospherical varieties of Picard number one as linear sections of rational homogeneous varieties. J, Korean Math. Soc., 53, 433-446, (2016) Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Levay, P, On the geometry of a class of \(N\)-qubit entanglement monotones, J. Phys. A Math. Gen., 38, 9075, (2005) Quantum computation, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Fomin, Sergey; Kirillov, Anatol N., Quadratic algebras, Dunkl elements, and Schubert calculus. Advances in geometry, Progr. Math. 172, 147-182, (1999), Birkhäuser Boston, Boston, MA Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Differential geometry of submanifolds of Möbius space, Local submanifolds, Global submanifolds, Homogeneous spaces and generalizations, Grassmannians, Schubert varieties, flag manifolds, Holomorphic bundles and generalizations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Heat and other parabolic equation methods for PDEs on manifolds, Compact groups, Grassmannians, Schubert varieties, flag manifolds, \(G\)-structures, Perturbations of PDEs on manifolds; asymptotics, Spectral problems; spectral geometry; scattering theory on manifolds, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kostant, Bertram, Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight \textit{\({\rho}\)}, Selecta Math. (N.S.), 2, 1, 43-91, (1996) Grassmannians, Schubert varieties, flag manifolds, Applications of linear algebraic groups to the sciences
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of algebraic geometry, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Structural characterization of families of graphs, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics W. Haboush, N. Lauritzen, \textit{Varieties of unseparated flags}, in: Linear Algebraic Groups and Their Representations (Los Angeles, CA, 1992), Contemp. Math., Vol. 153, Amer. Math. Soc., Providence, RI, 1993, pp. 35-57. Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups, Vanishing theorems in algebraic geometry, Infinitesimal methods in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Vector bundles on curves and their moduli, Jacobians, Prym varieties, Algebraic cycles, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Willems, Matthieu: Cohomologie équivariante des tours de Bott et calcul de Schubert équivariant. J. inst. Math. jussieu 5, No. 1, 125-159 (2006) Equivariant homology and cohomology in algebraic topology, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Toric varieties, Newton polyhedra, Okounkov bodies, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Buch, Ander Skovsted; Ravikumar, Vijay, Pieri rules for the \(K\)-theory of cominuscule Grassmannians, J. Reine Angew. Math., 668, 109-132, (2012) Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds, Applications of methods of algebraic \(K\)-theory in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics \(K\)-theory in geometry, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics D. Timashev: \textit{Homogeneous Spaces and Equivariant Embeddings}, Enc. of Math. Sc. 138, Springer, Heidelberg et al. (2011). Group actions on varieties or schemes (quotients), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Fishel, S.; Konvalinka, M.: Results and conjectures on the number of standard strong marked tableaux. J. combin. Theory ser. A 131, 153-186 (2015) Combinatorial aspects of representation theory, Symmetric functions and generalizations, Combinatorial aspects of simplicial complexes, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Pragacz, P., Ratajski, J.: A Pieri-type theorem for Lagrangian and odd orthogonal Grassmannians. J. Reine Angew. Math. 476, 143--189 (1996) Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics History of relativity and gravitational theory, Relativistic cosmology, Grassmannians, Schubert varieties, flag manifolds, History of mathematics in the 20th century, Biographies, obituaries, personalia, bibliographies
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics J. M. Landsberg, \textit{Tensors: Geometry and Applications}, American Mathematical Society, Providence, RI, 2012. Vector and tensor algebra, theory of invariants, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra, Multilinear algebra, tensor calculus, Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Exterior algebra, Grassmann algebras, Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), Representation theory for linear algebraic groups, Characterization and structure theory of statistical distributions, Signal theory (characterization, reconstruction, filtering, etc.), Differential geometric aspects in vector and tensor analysis
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics S. Fomin and A. N. Kirillov, \textit{Reduced words and plane partitions}, J. Algebraic Combin., 6 (1997), pp. 311--319. Combinatorial aspects of partitions of integers, Exact enumeration problems, generating functions, Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds, Representations of finite symmetric groups, Combinatorial aspects of representation theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Differential geometric aspects of harmonic maps, Directed graphs (digraphs), tournaments, Grassmannians, Schubert varieties, flag manifolds, Harmonic maps, etc.
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Buch, AS; Kresch, A; Tamvakis, H, Quantum Giambelli formulas for isotropic Grassmannians, Math. Ann., 354, 801-812, (2012) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Gasharov, Vesselin, Sufficiency of Lakshmibai-Sandhya singularity conditions for Schubert varieties, Compos. Math., 126, 1, 47-56, (2001), MR 1827861 Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of representation theory, Combinatorics of partially ordered sets
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. Babakhanian and H. Hironaka, On the complex Grassmann manifold,Illinois J. Math 33 (1989), 170--179. Grassmannians, Schubert varieties, flag manifolds, Projective techniques in algebraic geometry, (Co)homology theory in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Émery, M.: Stochastic calculus in manifolds. Universitext. Springer, Berlin (1989). 10.1007/978-3-642-75051-9. With an appendix by P.-A. Meyer Differential geometric aspects of harmonic maps, Differential geometry of homogeneous manifolds, Grassmannians, Schubert varieties, flag manifolds, Sub-Riemannian geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Fano varieties, Minimal model program (Mori theory, extremal rays), Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Exterior algebra, Grassmann algebras, Grassmannians, Schubert varieties, flag manifolds, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics \(n\)-folds (\(n>4\)), Automorphisms of surfaces and higher-dimensional varieties, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Projective techniques in algebraic geometry, \(n\)-folds (\(n>4\)), Grassmannians, Schubert varieties, flag manifolds, Questions of classical algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Oprea, D, Divisors on the moduli spaces of stable maps to flag varieties and reconstruction, J. Reine Angew. Math., 586, 169-205, (2005) Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory, (Equivariant) Chow groups and rings; motives, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Mirror symmetry (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Toric varieties, Newton polyhedra, Okounkov bodies
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Götmark, E; Samuelsson, H; Seppänen, H, Koppelman formulas on Grassmannians, J. Reine Angew. Math., 640, 101-115, (2010) Integration on analytic sets and spaces, currents, Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels), Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics K. Rietsch, Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties, J. Amer. Math. Soc. 16 (2003), no. 2, 363--392 (electronic). Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over the reals, the complexes, the quaternions, Positive matrices and their generalizations; cones of matrices, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over finite fields
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Popescu, D.: Maximal Cohen--Macaulay modules over isolated singularities. J. algebra 178, 710-732 (1995) Cohen-Macaulay modules, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Grassmannians, Schubert varieties, flag manifolds, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Computational aspects of higher-dimensional varieties, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics I. Cardinali, A. Pasini, Grassmann and Weyl embeddings of orthogonal grassmannians, J. Algebraic Combin., http://dx.doi.org/10.1007/s10801-013-0429-x, in press. Grassmannians, Schubert varieties, flag manifolds, Polar geometry, symplectic spaces, orthogonal spaces, Incidence structures embeddable into projective geometries, Buildings and the geometry of diagrams, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kobak, P. Z.: Birational correspondence between twistor spaces, Bull. London math. Soc. 26, 186-190 (1994) Differential geometry of homogeneous manifolds, Twistor theory, double fibrations (complex-analytic aspects), Grassmannians, Schubert varieties, flag manifolds, Homogeneous complex manifolds, Differential geometry of symmetric spaces
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics L. Chiantini and M. Coppens: ''Grassmannians of secant varieties'', Forum Math., Vol. 13, (2001), pp. 615--628. Grassmannians, Schubert varieties, flag manifolds, Projective techniques in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Keller, B; Scherotzke, S, Desingularizations of quiver Grassmannians via graded quiver varieties, Adv. Math., 256, 318-347, (2014) Grassmannians, Schubert varieties, flag manifolds, Representations of quivers and partially ordered sets
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kirillov, Anatol N. and Maeno, Toshiaki, Braided differential structure on {W}eyl groups, quadratic algebras, and elliptic functions, International Mathematics Research Notices. IMRN, 2008, 14, no.~14, rnn046, 23~pages, (2008) Linear difference operators, Representation theory of linear operators, Hopf algebras and their applications, Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.), Grassmannians, Schubert varieties, flag manifolds, Reflection and Coxeter groups (group-theoretic aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics S. Fomin, S. Gelfand, and A. Postnikov, Quantum Schubert polynomials , J. Amer. Math. Soc., 168 (1997), 565--596. JSTOR: Grassmannians, Schubert varieties, flag manifolds, Enumerative problems (combinatorial problems) in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics R. Fioresi and M. A. Lledó, \textit{The Minkowski and Conformal Superspaces} (World Scientific, 2015). Research exposition (monographs, survey articles) pertaining to quantum theory, Supersymmetric field theories in quantum mechanics, Analysis on supermanifolds or graded manifolds, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Supervarieties, Lie (super)algebras associated with other structures (associative, Jordan, etc.), Structure and representation of the Lorentz group, Special relativity, Clifford algebras, spinors, Grassmannians, Schubert varieties, flag manifolds, Quantum groups and related algebraic methods applied to problems in quantum theory, Quantum groups (quantized enveloping algebras) and related deformations, Physics
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Other geometric groups, including crystallographic groups, Representation theory for linear algebraic groups, Combinatorial aspects of representation theory, Hecke algebras and their representations, Representations of finite symmetric groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Modular representations and characters, Reflection and Coxeter groups (group-theoretic aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Geometric aspects of tropical varieties, Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of tropical varieties
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Towber, J.: Two new functors from modules to algebras. J. Alg.47, 80--104 (1977) Vector and tensor algebra, theory of invariants, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representations of finite symmetric groups, Theory of modules and ideals in commutative rings, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kashiwara, M., \& Tanisaki, T. (2002). Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. J. Algebra, 249, 306--325. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Grassmannians, Schubert varieties, flag manifolds, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Drellich, Elizabeth, Monk's rule and Giambelli's formula for Peterson varieties of all Lie types, J. Algebraic Combin., 41, 2, 539-575, (2015) Classical problems, Schubert calculus, Equivariant homology and cohomology in algebraic topology, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics M. Varagnolo and E. Vasserot, Double affine Hecke algebras and affine flag manifolds. I, Affine flag manifolds and principal bundles, 233--289, Trends Math., Birkhäuser/Springer Basel AG, Basel, 2010. Hecke algebras and their representations, Grassmannians, Schubert varieties, flag manifolds, Grothendieck groups, \(K\)-theory, etc., Quantum groups (quantized enveloping algebras) and related deformations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Fulton, W., Pragacz, P.: Schubert Varieties and Degeneracy Loci. Lecture Notes in Mathematics, vol. 1689. Springer, Berlin (1998) Grassmannians, Schubert varieties, flag manifolds, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Determinantal varieties, (Equivariant) Chow groups and rings; motives
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of algebraic geometry, Equivariant \(K\)-theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Rahul Ilango, Oliver Pechenik, Michael Zlatin, Unique rectification in \(d\)-complete posets: towards the \(K\)-theory of Kac-Moody flag varieties, preprint 2018, 34 pages, arXiv:1805.02287. Combinatorics of partially ordered sets, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. V. Fonarev, On the Kuznetsov--Polishchuk conjecture, Proc. Steklov Inst. Math. 290 (2015), no. 1, 11--25. Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Proceedings, conferences, collections, etc. pertaining to group theory, Groups with a \(BN\)-pair; buildings, Reflection and Coxeter groups (group-theoretic aspects), Buildings and the geometry of diagrams, Reflection groups, reflection geometries, Geometry of classical groups, Grassmannians, Schubert varieties, flag manifolds, Lie (super)algebras associated with other structures (associative, Jordan, etc.), Proceedings of conferences of miscellaneous specific interest
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. Bertram, G. Daskalopoulos, and R. Wentworth, Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians, J. Amer. Math. Soc., to appear. Riemann surfaces; Weierstrass points; gap sequences, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Algebraic moduli problems, moduli of vector bundles, Complex-analytic moduli problems, Moduli problems for differential geometric structures
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Momentum maps; symplectic reduction, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of matroids and geometric lattices, Combinatorial aspects of partitions of integers, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Hecke algebras and their representations, Homology and cohomology of homogeneous spaces of Lie groups, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics J.-E. Bourgine and D. Fioravanti, \textit{Omega-deformed Seiberg-Witten relations}, to appear. Groups and algebras in quantum theory and relations with integrable systems, Exactly solvable models; Bethe ansatz, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Yang-Baxter equations, Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory, Grassmannians, Schubert varieties, flag manifolds, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Hansen S.H.: Picard groups of Deligne-Lusztig varieties--with a view toward higher codimensions. Beiträge Algebra Geom. 43(1), 9--26 (2002) Grassmannians, Schubert varieties, flag manifolds, Algebraic cycles, (Equivariant) Chow groups and rings; motives, Picard groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Positive characteristic ground fields in algebraic geometry, Reflection and Coxeter groups (group-theoretic aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Modular and Shimura varieties, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics I. Cherednik and D. Orr. ''One-dimensional nil-DAHA and Whittaker functions II''. Trans form. Groups 18 (2013), pp. 23--59.DOI. Hecke algebras and their representations, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds, Filtered associative rings; filtrational and graded techniques
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. G. Helminck, G. W. Schwarz, Smoothness of quotients associated with a pair of commuting involutions, Canad. J. Math. 56 (2004), no. 5, 945--962. Linear algebraic groups over arbitrary fields, Linear algebraic groups over the reals, the complexes, the quaternions, Grassmannians, Schubert varieties, flag manifolds, Group actions on varieties or schemes (quotients), Semisimple Lie groups and their representations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Speyer, D, A matroid invariant via the \(K\)-theory of the Grassmannian, Adv. Math., 221, 882-913, (2009) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Global submanifolds, Vector bundles on curves and their moduli, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Borovik, A., Gelfand, I., White, N.: Combinatorial flag varieties. J. Comb. Theory (A) 91, 111--136 (2000) Combinatorial aspects of matroids and geometric lattices, Grassmannians, Schubert varieties, flag manifolds, Reflection and Coxeter groups (group-theoretic aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Rinat Kedem, Fusion products of \?\?_{\?} symmetric power representations and Kostka polynomials, Quantum theory and symmetries, World Sci. Publ., Hackensack, NJ, 2004, pp. 88 -- 93. Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics I. M. Gel'fand,The general theory of hypergeometric functions, Sov. Math. Dokl.,33, n. 3 (1986), pp. 573--577. Classical hypergeometric functions, \({}_2F_1\), Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Mirror symmetry (algebro-geometric aspects), Cluster algebras, Toric varieties, Newton polyhedra, Okounkov bodies
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry, Projective techniques in algebraic geometry
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Berg, C.; Saliola, F.; Serrano, L., Combinatorial expansions for families of non-commutative \textit{k}-Schur functions Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics M. Haiman - B. Sturmfels, Multigraded Hilbert schemes. J. Algebraic Geom., 13 (4) (2004, pp. 725-769. Zbl1072.14007 MR2073194 Parametrization (Chow and Hilbert schemes), Toric varieties, Newton polyhedra, Okounkov bodies, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics R. W. Richardson and P. J. Slodowy, ''Minimum vectors for real reductive algebraic groups,'' J. London Math. Soc., vol. 42, iss. 3, pp. 409-429, 1990. Group actions on varieties or schemes (quotients), Linear algebraic groups over the reals, the complexes, the quaternions, Real algebraic and real-analytic geometry, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Polynomial rings and ideals; rings of integer-valued polynomials
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Dal Lago, W., García, A.N., Sánchez, C.U.: Maximal projective subspaces in the variety of planar normal sections of a flag manifold. Geom. Dedicata 75, 219--233 (1999) Differential geometry of homogeneous manifolds, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. Knutson, E. Miller, and A. Yong. ''Tableau complexes''. Isr. J. Math. 163.1 (2008), pp. 317-- 343.DOI. 12 Cara Monical Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Loop spaces, Grassmannians, Schubert varieties, flag manifolds, Real rational functions, Sphere bundles and vector bundles in algebraic topology
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Projective techniques in algebraic geometry, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Projective differential geometry, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Determinantal varieties, Trees, Local complex singularities, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Harry Tamvakis, Schubert polynomials and Arakelov theory of orthogonal flag varieties, Math. Z. 268 (2011), no. 1-2, 355 -- 370. Grassmannians, Schubert varieties, flag manifolds, Arithmetic varieties and schemes; Arakelov theory; heights
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Cerulli Irelli, G., Esposito, F.: Geometry of quiver Grassmannians of Kronecker type and applications to cluster algebras. Algebra \& Number Theory. arXiv:1003.3037v2 (2010) Cluster algebras, Representation theory of lattices, Representations of quivers and partially ordered sets, Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of representation theory, Projective techniques in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Arvanitoyeorgos, A., Dzhepko, V.V., and Nikonorov, Yu.G., Invariant Einstein Metrics on Some Homogeneous Spaces of Classical Lie Groups, Canad. J. Math., 2009, vol. 61, no. 6, pp. 1201--1213. Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential geometry of homogeneous manifolds, Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations, Homogeneous complex manifolds, Homology and cohomology of homogeneous spaces of Lie groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Daoud, Mohammed; Jellal, Ahmed, Quantum Hall effect on the flag manifold \(F_2\), Int. J. Mod. Phys. A, 23, 3129-3154, (2008) Many-body theory; quantum Hall effect, Geometry and quantization, symplectic methods, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Witaszek, J.: The Degeneration of the Grassmannian into a Toric Variety and the Calculation of the Eigenspaces of a Torus Action. arXiv:1209.3689 [math.AG] (2012) Toric varieties, Newton polyhedra, Okounkov bodies, Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Khovanov, M., Crossingless matchings and the cohomology of \((n, n)\) Springer varieties, Commun. Contemp. Math., 6, 2, 561-577, (2004) Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Configurations and arrangements of linear subspaces, Classical problems, Schubert calculus, Combinatorial aspects of algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics I. A. Panin, Algebraic \?-theory of Grassmannian manifolds and their twisted forms, Funktsional. Anal. i Prilozhen. 23 (1989), no. 2, 71 -- 72 (Russian); English transl., Funct. Anal. Appl. 23 (1989), no. 2, 143 -- 144. Grassmannians, Schubert varieties, flag manifolds, Applications of methods of algebraic \(K\)-theory in algebraic geometry, \(K\)-theory in geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Geometric Langlands program (algebro-geometric aspects), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Simple, semisimple, reductive (super)algebras
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Ghorpade S.R., Lachaud G.: Hyperplane sections of Grassmannians and the number of MDS linear codes. Finite Fields Appl. 7, 468--506 (2001) Geometric methods (including applications of algebraic geometry) applied to coding theory, Grassmannians, Schubert varieties, flag manifolds, Finite ground fields in algebraic geometry
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