The equivariant K-theory of Gieseker varieties is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra over the K-theory of a point.
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Viability games on valence systems over graph monoids admit a complete decidability and complexity classification, with decidable cases in pushdown-counter combinations where non-termination games remain undecidable.
A unified representation-theoretic approach computes the complete Laplace-Beltrami spectra on homogeneous principal bundles and applies the results to classify scalar stability and Yamabe bifurcations on specific manifold families.
Stable pairs yield small Q-factorial modifications of Quot schemes on curves, making their large-degree fibers Mori dream spaces and the determinant morphism a Mori dream morphism.
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K-theory of Gieseker variety and type A cyclotomic Hecke algebra
The equivariant K-theory of Gieseker varieties is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra over the K-theory of a point.
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Infinite-state Games with Energy Objectives Beyond Counters
Viability games on valence systems over graph monoids admit a complete decidability and complexity classification, with decidable cases in pushdown-counter combinations where non-termination games remain undecidable.
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Explicit Laplace Spectra of Homogeneous Principal Bundles
A unified representation-theoretic approach computes the complete Laplace-Beltrami spectra on homogeneous principal bundles and applies the results to classify scalar stability and Yamabe bifurcations on specific manifold families.
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Birational Geometry of Quot Schemes on smooth projective curves via Stable Pairs
Stable pairs yield small Q-factorial modifications of Quot schemes on curves, making their large-degree fibers Mori dream spaces and the determinant morphism a Mori dream morphism.