ЗМІСТ

Beck F.
Aspects of Calabi-Yau Integrable and Hitchin Systems

Goze M., Remm E.
Coadjoint Orbits of Lie Algebras and Cartan Class

Hikami K.
Note on Character Varieties and Cluster Algebras

Bissiri P.G., Menegatto V.A., Porcu E.
Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions

Van Assche W.
Solution of an Open Problem about Two Families of Orthogonal Polynomials

Clarkson P.A.
Open Problems for Painlevé Equations

Aricheta V.M.
Supersingular Elliptic Curves and Moonshine

Willse T.
Homogeneous Real (2,3,5) Distributions with Isotropy

Nakayashiki A.
On Reducible Degeneration of Hyperelliptic Curves and Soliton Solutions

Collier B.
Studying Deformations of Fuchsian Representations with Higgs Bundles

Korinman J.
Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors

Leaf A.
The Kashaev Equation and Related Recurrences

Chanu C.M., Rastelli G.
Block-Separation of Variables: a Form of Partial Separation for Natural Hamiltonians

Cheng M.C.N., de Lange P., Whalen D.P.Z.
Generalised Umbral Moonshine

García-Ariza M.Á.
A Geometric Approach to the Concept of Extensivity in Thermodynamics

Adachi S.
The q-Borel Sum of Divergent Basic Hypergeometric Series _rφ_s(a; b; q, x)

Lundmark H., Shuaib B.
Ghostpeakons and Characteristic Curves for the Camassa-Holm, Degasperis-Procesi and Novikov Equations

Fredrickson L.
Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space

Barbarán Sánchez J.J., El Kaoutit L.
Linear Representations and Frobenius Morphisms of Groupoids

Kodera R.
Braid Group Action on Affine Yangian

Popescu M., Popescu P.
Almost Lie Algebroids and Characteristic Classes

Gherghe C.
On a Yang-Mills Type Functional

Addabbo D., Bergvelt M.
τ-Functions, Birkhoff Factorizations and Difference Equations

Logares M.
On Higgs Bundles on Nodal Curves

Grassi A., Mariño M.
A Solvable Deformation of Quantum Mechanics

Mudrov A.I.
Contravariant Form on Tensor Product of Highest Weight Modules

Bantay P.
A Short Guide to Orbifold Deconstruction

Vekslerchik V.E.
Explicit Solutions for a Nonlinear Vector Model on the Triangular Lattice

Coquereaux R., Zuber J.-B.
The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices

Carnahan S.
A Self-Dual Integral Form of the Moonshine Module

Frassek R., Pestun V.
A Family of GL_r Multiplicative Higgs Bundles on Rational Base

Ayano T., Buchstaber V.M.
Construction of Two Parametric Deformation of KdV-Hierarchy and Solution in Terms of Meromorphic Functions on the Sigma Divisor of a Hyperelliptic Curve of Genus 3

Chen R.C., Marks S., Tyler M.
p-Adic Properties of Hauptmoduln with Applications to Moonshine

Adamus E., Crespo T., Hajto Z.
Jacobian Conjecture via Differential Galois Theory

Li Q.
An Introduction to Higgs Bundles via Harmonic Maps

Nakahama R.
Construction of Intertwining Operators between Holomorphic Discrete Series Representations

Fordy A.P., Huang Q.
Generalised Darboux-Koenigs Metrics and 3-Dimensional Superintegrable Systems

Sinel'shchikov S.
The Laurent Extension of Quantum Plane: a Complete List of U_q(sl₂)-Symmetries

Alessandrini D.
Higgs Bundles and Geometric Structures on Manifolds

Fujiwara S., Gyoda Y.
Duality between Final-Seed and Initial-Seed Mutations in Cluster Algebras

Bouchard V., Creutzig T., Joshi A.
Hecke Operators on Vector-Valued Modular Forms

Mandel T.
Classification of Rank 2 Cluster Varieties

Klimek S., McBride M., Peoples J.W.
A Note on Spectral Triples on the Quantum Disk

Vermeeren M.
A Variational Perspective on Continuum Limits of ABS and Lattice GD Equations

Błaszak M., Domański Z.
Lax Representations for Separable Systems from Benenti Class

Kitaev A.V.
Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin

Jiménez S., Morales-Ruiz J.J., Sánchez-Cauce R., Zurro M.-Á.
Rational KdV Potentials and Differential Galois Theory

Kassotakis P.
Invariants in Separated Variables: Yang-Baxter, Entwining and Transfer Maps

Yagasaki K., Yamanaka S.
Heteroclinic Orbits and Nonintegrability in Two-Degree-of-Freedom Hamiltonian Systems with Saddle-Centers

Golinskii L., Kutsenko A.
On Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications

del Barco V., San Martin L.A.B.
De Rham 2-Cohomology of Real Flag Manifolds

Cirafici M.
BPS Spectra, Barcodes and Walls

Carinci G., Franceschini C., Giardinà C., Groenevelt W., Redig F.
Orthogonal Dualities of Markov Processes and Unitary Symmetries

Borowiec A., Meljanac D., Meljanac S., Pachoł A.
Interpolations between Jordanian Twists Induced by Coboundary Twists

Blázquez Sanz D., Casale G., Díaz Arboleda J.S.
Differential Galois Theory and Isomonodromic Deformations

Lompert K., Panasyuk A.
Invariant Nijenhuis Tensors and Integrable Geodesic Flows

Bahuaud E., Mazzeo R., Woolgar E.
Ricci Flow and Volume Renormalizability

Barkatou M.A., Gontsov R.R.
Linear Differential Systems with Small Coefficients: Various Types of Solvability and their Verification

Johnson-Freyd T., Treumann D.
Third Homology of some Sporadic Finite Groups

Barata J.C.A., Brum M.
Wavepackets on de Sitter Spacetime

Borot G., Norbury P.
Loop Equations for Gromov-Witten Invariant of P¹

Garifullin R.N., Yamilov R.I.
Integrable Modifications of the Ito-Narita-Bogoyavlensky Equation

Clelland J.N., Hu Y., Stackpole M.W.
Dynamic Equivalence of Control Systems and Infinite Permutation Matrices

van Geemen B., Marrani A.
Lagrangian Grassmannians and Spinor Varieties in Characteristic Two

Rozhkovskaya N.
Multiparameter Schur Q-Functions Are Solutions of the BKP Hierarchy

Belliard S., Slavnov N.A.
Scalar Products in Twisted XXX Spin Chain. Determinant Representation

Assiotis T.
Ergodic Decomposition for Inverse Wishart Measures on Infinite Positive-Definite Matrices

Nirov K.S., Razumov A.V.
Vertex Models and Spin Chains in Formulas and Pictures

Daudé T., Kamran N., Nicoleau F.
Separability and Symmetry Operators for Painlevé Metrics and their Conformal Deformations

Zorich V.A.
Holomorphic Distributions and Connectivity by Integral Curves of Distributions

van der Put M.
Stratified Bundles on Curves and Differential Galois Groups in Positive Characteristic

Herrera R., Santana N.
Spinorially Twisted Spin Structures. II: Twisted Pure Spinors, Special Riemannian Holonomy and Clifford Monopoles

Maceda M., Martínez-Carbajal D.
A Kähler Compatible Moyal Deformation of the First Heavenly Equation

Matsuhira Y., Nagoya H.
Combinatorial Expressions for the Tau Functions of q-Painlevé V and III Equations

Slinkin A., Varchenko A.
Twisted de Rham Complex on Line and Singular Vectors in sl₂ˆ Verma Modules

Ikeda N.
Momentum Sections in Hamiltonian Mechanics and Sigma Models

Faitg M.
Modular Group Representations in Combinatorial Quantization with Non-Semisimple Hopf Algebras

Gyenge Á.
The Transition Function of G₂ over S⁶

Hentosh O.Ye., Prykarpatsky Ya.A., Blackmore D., Prykarpatski A.K.
Dispersionless Multi-Dimensional Integrable Systems and Related Conformal Structure Generating Equations of Mathematical Physics

Garcia-Failde E., Kramer R., Lewański D., Shadrin S.
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes

Jäger J.
A Note on the Derivatives of Isotropic Positive Definite Functions on the Hilbert Sphere

Meljanac D., Meljanac S., Škoda Z., Štrajn R.
One Parameter Family of Jordanian Twists

Ohsawa T.
Collective Heavy Top Dynamics

Frahm J., Ørsted B.
Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors

Ivanics P., Stipsicz A.I., Szabó S.
Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber

Biswas K., Pérez-Marco R.
The Ramificant Determinant

Camassa R., Falqui G., Ortenzi G., Pedroni M.
On the Geometry of Extended Self-Similar Solutions of the Airy Shallow Water Equations

Acosta-Humánez P.B., van der Put M., Top J.
Variations for Some Painlevé Equations

Morier-Genoud S.
Symplectic Frieze Patterns

Loizides Yi.
Quasi-Polynomials and the Singular [Q,R]=0 Theorem

Drensky V., Makar-Limanov L.
Locally Nilpotent Derivations of Free Algebra of Rank Two

Ghosal P.
Correlation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators

Rimányi R., Smirnov A., Varchenko A., Zhou Z.
Three-Dimensional Mirror Self-Symmetry of the Cotangent Bundle of the Full Flag Variety

Szablikowski B.M.
Bi-Hamiltonian Systems in (2+1) and Higher Dimensions Defined by Novikov Algebras

Evans T.J., Fialowski A.
Cohomology of Restricted Filiform Lie Algebras m^λ₂(p)

Berceanu S.
The Real Jacobi Group Revisited

Khesin B., Tabachnikov S.
Fun Problems in Geometry and Beyond

Moll A.
Exact Bohr-Sommerfeld Conditions for the Quantum Periodic Benjamin-Ono Equation

De Clercq H.
Higher Rank Relations for the Askey-Wilson and q-Bannai-Ito Algebra

Crespo T., Hajto Z.
Picard-Vessiot Extensions of Real Differential Fields

Previato E., Rueda S.L., Zurro M.-A.
Commuting Ordinary Differential Operators and the Dixmier Test