Birs- 18w5025: Tau Functions of Integrable Systems and Their Applications

  1. Title:
    Asymptotics of polynomials orthogonal with respect to a logarithmic weight

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  2. Title:
    Symplectic Structures on the moduli space of Schodinger Equations on Riemann Surfaces of fixed genus and the Goldman Bracket.

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    Isomonodromic deformations and stability on vector bundles on a Riemann surface

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    Colour/kinematics duality in YM and the Drinfeld double of the Lie algebra of diffeomorphisms

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  5. Title:
    Quantum monodrmies of $SL_k$ systems and quantum cluster algebras

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  6. Title:
    Degenerations of Riemann surfaces together with a differential

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  7. Title:
    Tau-functions of Painlevé equations and orthogonal polynomials

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  8. Title:
    Cluster integrable systems, deautonomization and q-difference isomonodromic problem

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  9. Title:
    Tau functions from matrix models in enumerative geometry and isomonodromic deformations

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  10. Title:
    Solutions of deatonomized cluster integrable flows.

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  11. Title:
    Proof of the power series formula of the $q$ Painlevé

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  12. Title:
    Tau functions as Widom constants

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  13. Title:
    Combinatorial expansion of the Fredholm determinant representation for isomonodromic tau function and conformal field theory

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  14. Title:
    Weighted Hurwitz numbers and topological recursion

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  15. Title:
    On some Hamiltonian properties of isomonodromic tau functions.

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  16. Title:
    Factorization and Asymptotics of Block Toeplitz Matrices

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  17. Title:
    KP theory, planar bipartite networks in the disk and rational degenerations of M-curves

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  18. Title:
    Computational approach to compact Riemann surfaces

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  19. Title:
    Topological recursion and Bergman tau functions for the Hitchin system

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  20. Title:
    Gap Probabilities in Tiling Models and Discrete Painlev\'e Equations.

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