Simons- Workshop: Recent Advances on Scalar Curvature Problems

  1. Title:
    Local existence and uniqueness of static vacuum extensions of Bartnik boundary data

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  2. Title:
    Coordinates are messy

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  3. Title:
    Distance estimates under lower scalar curvature bounds in the spin setting and beyond

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  4. Title:
    Comparison geometry and spacetime harmonic functions

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  5. Title:
    Higher index theory and scalar curvature

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  6. Title:
    Lipschitz rigidity for scalar curvature

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  7. Title:
    Asymptotic estimates for the Bartnik mass of small metric balls

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  8. Title:
    Mass and capacitary potential of asymptotically flat 3-manifolds

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  9. Title:
    The positive mass theorem with boundaries, complete ends, and scalar curvature shields

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  10. Title:
    Removal of Singularities

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  11. Title:
    Strong Cosmic Censorship and the Stability of AVTD Behavior for Polarized T^2- Symmetric Space-Times

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  12. Title:
    Sobolov-Class Asymptotically Hyperbolic Manifolds and the Yamabe Problem

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  13. Title:
    Kodaira Dimension and the Yamabe Problem, Revisited

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  14. Title:
    Towards a theory of Ricci flow in dimension 4 (and higher)

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  15. Title:
    On Gromov’s dihedral extremality and rigidity conjectures

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  16. Title:
    Dihedral rigidity conjecture and Stoker's problem

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  17. Title:
    Harmonic maps and extremal Schrodinger operators on higher-dimensional manifolds

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  18. Title:
    Compactness and Stability Conjectures

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  19. Title:
    Geometric inequalities and potential theory

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