Simons- Workshop: Combinatorics and Geometry of Convex Polyhedra

  1. Title:
    A Positive Answer to Barany's Question on Face Numbers of Polytopes

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  2. Title:
    A Proof of Grunbaum's Lower Bound Conjecture for polytopes, lattices, and strongly regular pseudomanifolds.

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  3. Title:
    Radon and fractional Helly type theorems

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  4. Title:
    Pivots, polytopes, and combinatorics

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  5. Title:
    Polyhedral diagonals and beyond

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  6. Title:
    Rigidity expanders

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  7. Title:
    Almost colored f-vectors for generalized Associahedra

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  8. Title:
    Combinatorial and metric properties of flow polytopes

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  9. Title:
    The merging operation and (d-i)-simplicial i-simple d-polytopes

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  10. Title:
    Flips in two-dimensional hypertriangulations

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  11. Title:
    Harder-Narasimhan polytopes

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  12. Title:
    Sphere triangulations, Dual Graphs, and Expanders

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  13. Title:
    Unexpected diagonals

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  14. Title:
    Lineup polytopes

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  15. Title:
    Unbounded matroids

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  16. Title:
    Valuative invariants for large classes of matroids

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  17. Title:
    Generalized permutahedra: Minkowski linear functionals andEhrhart positivity

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  18. Title:
    Unimodular triangulations of sufficiently large dilations

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  19. Title:
    Parity duality for the amplituhedron

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  20. Title:
    Acyclonestohedra

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