Simons- Program: Poisson geometry of moduli spaces, associators and quantum field theory

  1. Title:
    Holonomic Poisson manifolds and deformations of elliptic algebras

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  2. Title:
    On elliptic versions of the Kashiwara-Vergne Lie algebra and mould theory

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  3. Title:
    Higher genus Grothendieck-Teichmüller Lie algebras

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  4. Title:
    Homotopy algebras in string field theory

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  5. Title:
    Integrable clusters

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  6. Title:
    Algebra and Geometry of String Topology Part II

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  7. Title:
    On a moduli space interpretation of the Turaev cobracket

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  8. Title:
    From the algebra of symplectic derivations to cohomology of automorphism groups of free groups

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  9. Title:
    Formality of the Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem

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  10. Title:
    Formal description of the Goldman bracket, revisited

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  11. Title:
    Turaev's loop operations on surfaces and their formal descriptions

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  12. Title:
    Algebra and Geometry of String Topology

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  13. Title:
    Computer driven questions, pre-theorems and theorems in geometry

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  14. Title:
    Prop of ribbon hypergraphs and strongly homotopy involutive Lie bialgebras

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  15. Title:
    The generalization of the Goldman bracket to Three dimensions and its relation to Geometrization

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  16. Title:
    Poisson-Lie Dual and Langlands Dual via Cluster Theory and Tropicalization

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  17. Title:
    Poisson Geometry, Crystals, and Integrable Systems

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  18. Title:
    Moment Map, Generalized Horn Inequalities and Quivers

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  19. Title:
    Quantum Hodge Field Theory

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  20. Title:
    Survey of Geometry in G_2 manifolds

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