Simons- Workshop: Tau Functions, Correlation Functions and Applications

  1. Title:
    Topological recursion/intersection numbers correspondences

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  2. Title:
    Quantization of Monodromy data for confluent Painlevé systems, Calabi-Yau 3-algebras and degenerated non-commutative del Pezzo surfaces.

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  3. Title:
    On tau-functions for the KdV hierarchy

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  4. Title:
    Logarithmic Painlevé functions and Mathieu stability chart

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  5. Title:
    A soliton interacting with a regular gas of solitons

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  6. Title:
    Beyond tau-functions, or how to tame anyons out of free fermions, with a little bit of blowups and confinement

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  7. Title:
    Noncommutative cluster integrability (joint w/ N.Ovenhouse and S.Arthamonov)

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  8. Title:
    On the fermonic basis and its classical meaning for integrable models.

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  9. Title:
    Diagrams, nonabelian Hodge spaces and global Lie theory

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  10. Title:
    Multinomial models

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  11. Title:
    Isomonodromic deformations: Confluence, Reduction and Quan- tization

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  12. Title:
    Correlation functions for unitary invariant ensembles and Hurwitz numbers.

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  13. Title:
    Kasteleyn theorem, geometric signatures and KP-II divisors on planar bipartite networks in the disk

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  14. Title:
    Duality in Macdonald theory and the q-Whittaker limit of spherical DAHAs

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  15. Title:
    Planar directed networks and quantum loop equations

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  16. Title:
    Reductions of KP type hierarchies, related to conjugacy classes of the Weyl group of classical Lie algebras

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  17. Title:
    Spectral curves for KP tau functions of hypergeometric type

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  18. Title:
    Bilinear expansions of lattices of KP Tau-function in BKP Tau-functions: a fermionic approach

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  19. Title:
    Triangular Ice: Combinatorics and Limit Shapes

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  20. Title:
    On a class of KdV tau functions related to integrable probability

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