Simons- Workshop: Recent Developments in the Mathematical study of Gauge Theory

  1. Title:
    A critical elliptic theory and its applications in higher-dimensional gauge theory

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  2. Title:
    Hermitian-Yang-Mills connections over asymptotically cylindrical Kahler manifolds

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  3. Title:
    G2-instantons and Associative submanifolds in String and M theory

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  4. Title:
    APS-type index theorem and the zero loci of Z/2 harmonic spinors

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  5. Title:
    Seiberg-Witten monopoles with multiple spinors on a surface times a circle

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  6. Title:
    Topology of the blow up locus for the Seiberg-Witten equation

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  7. Title:
    Crossed and spiked instantons, and the Compactness theorem

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  8. Title:
    Analysis of Yang-Mills Instantons on multi-Taub-NUT and Bows

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  9. Title:
    G2–instantons over twisted connected sums

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  10. Title:
    Limits and bubbling sets for the Yang-Mills flow on Kähler manifolds

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  11. Title:
    An approach to the Four Color Theorem via Gauge Theory and Three Manifold Topology

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  12. Title:
    Sutures and Higher Rank Bundles

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  13. Title:
    Some analytic aspects of the Kapustin-Witten equations with Nahm pole boundary conditions

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  14. Title:
    Long-time existence for Yang-Mills flow

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  15. Title:
    ASD connections and mean dimension

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  16. Title:
    Donaldson-Thomas gauge theory for Calabi-Yau 4-folds

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  17. Title:
    Fixed-point Floer homology in spaces of stable pairs over a Riemann surface

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