Simons- Perspectives, Open Problems & Applications of Quantum Liouville Theory

  1. Title:
    Geometric Engineering of Surface Operators and Vortex Counting

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  2. Title:
    On the Periodicity Conjecture for Y-systems

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  3. Title:
    Quantum integrability, Gauge Theory, and Branes

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  4. Title:
    Towards a proof of the AGT conjecture

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  5. Title:
    Boundary loop models coupled to 2D Quantum Gravity

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  6. Title:
    Differential equation for 4-point correlation function in Liouville field theory and elliptic 4-point conformal blocks

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  7. Title:
    Quantization of Hitchin moduli space, Liouville theory, and the (quantum) geometric Langlands correspondence

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  8. Title:
    On Baxter Q-operators in the eight-vertex model

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  9. Title:
    Higher Quantum Teichmuller theory

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  10. Title:
    Variations on a Theme of Yang & Yang

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  11. Title:
    On Liouville theory, N=2 theories, and line and surface operators

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  12. Title:
    Line Operators in 4d N=2 Supersymmetric Field Theories

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  13. Title:
    N=2 theories, hyperkahler geometry, BPS states and all that

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  14. Title:
    Quantum Sine(h)-Gordon Model and Classical Integrable Equations

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  15. Title:
    Loop operators in N=4 super-Yang-Mills, pure spinors and 2d gauge theory

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  16. Title:
    On Liouville equation

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