Flag varieties and schubert calculus
WebIn particular, I am interested in flag varieties and related configuration spaces, cluster algebras and toric varieties. On the combinatorial side side, I use ideas from Schubert calculus, matroids, lattice point enumeration and Coxeter groups. WebA (complete) flag variety is a variety of the form G / B where G is a (complex, say) reductive algebraic group and B is a Borel subgroup of G. The classical flag variety corresponds to …
Flag varieties and schubert calculus
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WebIn particular, I am interested in equivariant K-theory, cohomology, and Chow groups, as well as problems related to flag varieties, Schubert calculus, and some related combinatorics. A complete list of my published research papers and preprints, as well as a more detailed description of my research interests, is available on my research page . WebOne of the main open questions in Schubert calculus concerns the generalization of the Littlewood-Richardson rule to flag varieties. Such a generalization is highly desirable, because it is a manifestly positive formula that can be applied to other areas: in algebraic geometry, it helps describe complicated intersections; in representation ...
WebSCHUBERT CALCULUS ON FLAG VARIETIES AND SESHADRI CONSTANTS ON JACOBIANS by Jian Kong A dissertation submitted to the faculty of The University of … WebFeb 26, 2024 · Section 14.7. Schubert Calculus. Example 14.7.7. This is a standard example to use the Schubert calculus to deal with some simple algebraic geometry problems and we write this as a model. Note that the first step is to deduce the relations of Schubert relations as Example 14.7.2.
WebJan 1, 2007 · Download Citation Flag varieties and Schubert calculus We discuss recent developments in Schubert calculus. Find, read and cite all the research you … WebDefinition 4. Here’s the cycle notation for permutations. For a permutation 1 ÞÑ2, 2 ÞÑ3, 4 ÞÑ5, 5 ÞÑ4, the notation is p1 2 3qp4 5q. Each parentheti-cal ...
WebWe present a partial generalization to Schubert calculus on flag varieties of the classical Littlewood-Richardson rule, in its version based on Schuetzenberger's jeu de taquin. … pete carpenter the rockford filesWeb(Combinatorial) algebraic geometry. Schubert varieties and degeneracy loci. Intersection and cohomology theory, Grassmannians and flag varieties. Application of Schubert Calculus to various topics, which include but not limited to the geometry of algebraic curves and their moduli. Borys Kadets, Limited Term Assistant Professor, Ph.D. MIT, 2024 ... starcraft 2 thor rangeWebIn the case that X d(G) is smooth (which is equivalent to the condition that G is an orchard), we give a presentation of its cohomology ring, and relate the intersection theory on X d(G) to the Schubert calculus on flag varieties.R´esum´e. starcraft 2 tier listWebBook excerpt: This text grew out of an advanced course taught by the author at the Fourier Institute (Grenoble, France). It serves as an introduction to the combinatorics of symmetric functions, more precisely to Schur and Schubert polynomials. Also studied is the geometry of Grassmannians, flag varieties, and especially, their Schubert varieties. pete carroll and john schneiderWebMar 30, 2012 · The Schubert calculus or Schubert enumerative calculus is a formal calculus of symbols representing geometric conditions used to solve problems in enumerative … pete carroll brock purdyWebThe corresponding Schubert calculus conjecture says that for generic choice of the complex numbers the intersection of the Schubert varieties is transversal and consists of non-degenerate planes only. By the moment, the both conjectures are proved for N = 1 ([ScV], [Sc2]) and in some particular cases when N > 1 ([MV2], [CSc]). ... starcraft 2 the trilogy gameplayWebProducts and services. Our innovative products and services for learners, authors and customers are based on world-class research and are relevant, exciting and inspiring. pete carroll and kapernick