Birs- 14w5073: Quantum Curves and Quantum Knot Invariants

  1. Title:
    A quantum curve - What is it? Why is it important? A mathematical introduction to quantum curves

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  2. Title:
    An introduction to quantum curves from a physicist’s point of view

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  3. Title:
    The Slope Conjecture for 2-fusion knots

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  4. Title:
    Colored HOMFLY homology

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  5. Title:
    SU(N) Chern-Simons in Seifert spaces at large N: a matrix model analysis

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  6. Title:
    Quantization of line bundles on Lagrangian subvarieties

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  7. Title:
    Opers, spectral curves and the T[3] theory

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  8. Title:
    Cherednik algebras and torus knots

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  9. Title:
    Crystal operators and flag Gromov-Witten invariants

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  10. Title:
    HOMFLY homology vs $SL_n$ homology

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  11. Title:
    3d-3d Correspondence and Knot Homology

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  12. Title:
    Topological recursion for Hitchin fibrations of rank 2 and quantum curves

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  13. Title:
    An instance of mirror symmetry on K3

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  14. Title:
    J-functions, integrable systems and the AGT relation

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  15. Title:
    Knot contact homology and the augmentation polynomial

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  16. Title:
    Eynard-Orantin topological recursion and equivariant Gromov-Witten invariants of the projective line

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  17. Title:
    Logarithmic invariant of knots

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  18. Title:
    Super-A-polynomial

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  19. Title:
    2D Toda τ-functions as combinatorial generating functions

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