Fields- 2022-2023 Matroids - Combinatorics, Algebra and Geometry Seminar

  1. Title:
    The h-vector of a matroid complex, paving matroids and the chip firing game

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  2. Title:
    Quotienting by quasisymmetric polynomials

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  3. Title:
    The universal valuation of Coxeter matroids

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  4. Title:
    Combinatorial atlas for log-concave inequalities

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  5. Title:
    Partial Permutohedra

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  6. Title:
    Trying to generalize Pick's theorem.

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  7. Title:
    Tropical Fans and Normal Complexes

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  8. Title:
    Transversal Valuated Matroids

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  9. Title:
    Polytope algebra of generalized permutohedra

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  10. Title:
    Hyperplane arrangements and compactifications of vector groups

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  11. Title:
    Log-concavity of matroid h-vectors and mixed Eulerian numbers

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  12. Title:
    Motivic Zeta functions of hyperplane arrangements

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  13. Title:
    Valuative invariants for large classes of matroids

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  14. Title:
    Tropical Hodge theory

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  15. Title:
    Tropical Poincaré duality spaces

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  16. Title:
    The Lefschetz-Hopf trace formula for matroidal automorphisms

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  17. Title:
    Extending Shellings

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  18. Title:
    An overview of recent developments on non-isomorphic matroids that have the same G -invariant

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  19. Title:
    Positively Hyperbolic Varieties, Tropicalization, and Positroids

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  20. Title:
    Combinatorial Intersection Theory: A Few Examples

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