Geometric proof of a conjecture of Fulton

DOI10.1016/j.aim.2007.05.013zbMath1129.14063arXivmath/0511664OpenAlexW2093462194WikidataQ123166898 ScholiaQ123166898MaRDI QIDQ2456225

Prakash Belkale

Publication date: 17 October 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511664

zbMATH Keywords

geometric invariant theoryGrassmanniantensor product multiplicity

Mathematics Subject Classification ID

Related Items (13)

The Horn inequalities from a geometric point of view ⋮ Nonvanishing of conformal blocks divisors on \(\overline{\mathrm{M}}_{0,n} \) ⋮ Tensor product decompositions and open orbits in multiple flag varieties. ⋮ On \(S_n\)-invariant conformal blocks vector bundles of rank one on \(\overline{M}_{0,n}\) ⋮ Scaling of conformal blocks and generalized theta functions over \(\overline{\mathcal {M}}_{g,n}\) ⋮ Geometric invariant theory and generalized eigenvalue problem. II ⋮ The multiplicative eigenvalue problem and deformed quantum cohomology ⋮ A generalization of Fulton's conjecture for arbitrary groups ⋮ Generalized Littlewood-Richardson coefficients for branching rules of \(\mathrm{GL}(n)\) and extremal weight crystals ⋮ The combinatorics of quiver representations. ⋮ Quiver generalization of a conjecture of King, Tollu, and Toumazet ⋮ A survey of the additive eigenvalue problem (with Appendix by M. Kapovich) ⋮ Some unexpected properties of Littlewood-Richardson coefficients

Cites Work

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• The combinatorics of quiver representations.
• Stable bundles, representation theory and Hermitian operators
• Factorisation of generalised theta functions. I
• Moduli spaces of parabolic fibres and conformal blocks
• Geometric proofs of Horn and saturation conjectures
• The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture
• The honeycomb model of 𝐺𝐿_{𝑛}(ℂ) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone
• On the Canonical Decomposition of Quiver Representations
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• Quantum generalization of the Horn conjecture

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