ЗМІСТ

Brizuela D., Cartin D., Khanna G.
Numerical Techniques in Loop Quantum Cosmology

Bahr B., Gambini R., Pullin J.
Discretisations, Constraints and Diffeomorphisms in Quantum Gravity

Smilga A.V.
Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds

B.A. Lecomte P., Leuther T., Mushengezi E.Z.
On a Lie Algebraic Characterization of Vector Bundles

Kaul R.K.
Entropy of Quantum Black Holes

García-Beltrán D., Vallejo J.A., Vorobjev Y.
On Lie Algebroids and Poisson Algebras

Matveev V.S.
On the Dimension of the Group of Projective Transformations of Closed Randers and Riemannian Manifolds

Miki H., Goda H., Tsujimoto S.
Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems

Bonzom V., Laddha A.
Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity

Date G., Hossain G.M.
Matter in Loop Quantum Gravity

Léandre R., Obame Nguema Maurice
Deformation Quantization by Moyal Star-Product and Stratonovich Chaos

Tsiganov A.V.
New Variables of Separation for the Steklov-Lyapunov System

Meljanac S., Škoda Z., Svrtan D.
Exponential Formulas and Lie Algebra Type Star Products

Bilson-Thompson S., Hackett J., Kauffman L., Wan Y.
Emergent Braided Matter of Quantum Geometry

Borja E.F., Garay I., Vidotto F.
Learning about Quantum Gravity with a Couple of Nodes

Banerjee K., Calcagni G., Martín-Benito M.
Introduction to Loop Quantum Cosmology

Tambornino J.
Relational Observables in Gravity: a Review

Aastrup J., Grimstrup J.M.
Intersecting Quantum Gravity with Noncommutative Geometry - a Review

Rutstam N.
Tippe Top Equations and Equations for the Related Mechanical Systems

Gurau R., Ryan J.P.
Colored Tensor Models - a Review

Kaparulin D.S., Lyakhovich S.L., Sharapov A.A.
Lagrange Anchor and Characteristic Symmetries of Free Massless Fields

Michel Jean-Philippe
Conformally Equivariant Quantization - a Complete Classification

Neira Jimenez Carolina; Ouedraogo Marie-Françoise
Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions

León G., Sudarsky D.
Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities

Jafarov E.I., Stoilova N.I., Van der Jeugt J.
Deformed su(1,1) Algebra as a Model for Quantum Oscillators

Girelli F., Hinterleitner F., Major S.A.
Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics

Sindoni L.
Emergent Models for Gravity: an Overview of Microscopic Models

Sun J.
Polynomial Relations for q-Characters via the ODE/IM Correspondence

Correia Ramos C., Martins N., Pinto P.R.
Orbit Representations from Linear mod 1 Transformations

Musso E.
Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy

Tsiganov A.V.
Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates

Freidel L., Speziale S.
On the Relations between Gravity and BF Theories

Wolf K.B.
A Top-Down Account of Linear Canonical Transforms

Kalnins E.G., Miller Jr. W.
Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems

Llibre J., Peralta-Salas D.
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers

van de Leur J. W., Orlov A.Y., Shiota T.
CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae

England M., Athorne C.
Building Abelian Functions with Generalised Baker-Hirota Operators

Yatsui T.
On Free Pseudo-Product Fundamental Graded Lie Algebras

Stokman J.V.
Some Remarks on Very-Well-Poised ₈∅₇ Series

Adamović D., Perše O.
The Vertex Algebra M(1)⁺ and Certain Affine Vertex Algebras of Level −1

Fernández D.J.
Harmonic Oscillator SUSY Partners and Evolution Loops

Álvarez-Nodarse R., Adıgüzel R.S., Taşeli H.
On the Orthogonality of q-Classical Polynomials of the Hahn Class

Acosta-Humánez P.B., Pantazi C.
Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations

Zuo D.
Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2

Lee J., Yan C.H., Yang Y.
High-Energy String Scattering Amplitudes and Signless Stirling Number Identity

Calogero F.
Another New Solvable Many-Body Model of Goldfish Type

Ilten N.O.
Mutations of Laurent Polynomials and Flat Families with Toric Fibers

Diaz-Polo J., Pranzetti D.
Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity

Desrosiers P., Hallnäs M.
Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type

Oeckl R.
Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation

Morozov O.I.
A Two-Component Generalization of the Integrable rdDym Equation

Dupuis M., Ryan J.P., Speziale S.
Discrete Gravity Models and Loop Quantum Gravity: a Short Review

Cho Cheol-Hyun; Hong H., Lee S.
Examples of Matrix Factorizations from SYZ

Kanki M., Mada J., Tokihiro T.
Discrete Integrable Equations over Finite Fields

Alexandrov S., Geiller M., Noui K.
Spin Foams and Canonical Quantization

Laporte G., Walcher J.
Monodromy of an Inhomogeneous Picard-Fuchs Equation

An H., Rogers C.
A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction

Visinescu M., Vîlcu E.
Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits

Constantinescu O.
Formal Integrability for the Nonautonomous Case of the Inverse Problem of the Calculus of Variations

Méndez-Fragoso R., Ley-Koo E.
Ladder Operators for Lamé Spheroconal Harmonic Polynomials

Ismail Mourad E.H., Koelink E
Spectral Analysis of Certain Schrödinger Operators

Garifullin R., Habibullin I., Yangubaeva M.
Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time

Marquette I.
Singular Isotonic Oscillator, Supersymmetry and Superintegrability

Neira Jimenez Carolina; Ouedraogo Marie-Françoise
Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions

Braden H.W., Northover T.P.
Bring's Curve: its Period Matrix and the Vector of Riemann Constants

Calogero F., Yi G.
A New Class of Solvable Many-Body Problems

Li H., Sun J., Xu Y.
Discrete Fourier Analysis and Chebyshev Polynomials with G₂ Group

Melnikov I., Sethi S., Sharpe E.
Recent Developments in (0,2) Mirror Symmetry

Bermúdez D.
Complex SUSY Transformations and the Painlevé IV Equation

Tsiganov A.V.
Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates

Senashov S.I., Yakhno A.
Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity

Mukhin E., Tarasov T., Varchenko A.
KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians

Kaptsov O.V., Schmidt A.V.
Application of the B-Determining Equations Method to One Problem of Free Turbulence

Méndez-Fragoso R., Ley-Koo E.
Ladder Operators for Lamé Spheroconal Harmonic Polynomials

Brouwer A.E., Popoviciu M.
Sylvester versus Gundelfinger

Magri F.
Recursion Operators and Frobenius Manifolds

Cohl H.S., Volkmer H.
Definite Integrals using Orthogonality and Integral Transforms

Agafonov S.I.
Frobenius 3-Folds via Singular Flat 3-Webs

Avan J., Ragoucy E.
Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure

Quesne C.
Novel Enlarged Shape Invariance Property and Exactly Solvable Rational Extensions of the Rosen-Morse II and Eckart Potentials

Arita C., Motegi K.
Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry

Contreras-Astorga A., J. Fernández C. D., Negro J.
Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators

Saniga M., Planat M., Pracna P., Lévay P.
'Magic' Configurations of Three-Qubit Observables and Geometric Hyperplanes of the Smallest Split Cayley Hexagon

Haider B., Hassan M.
Quasi-Grammian Solutions of the Generalized Coupled Dispersionless Integrable System

Sasaki R., Takemura K.
Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity

Walton M.A.
On Affine Fusion and the Phase Model

Yanovski A.B., Vilasi G.
Geometric Theory of the Recursion Operators for the Generalized Zakharov-Shabat System in Pole Gauge on the Algebra sl(n,C) with and without Reductions

Szendrői B.
Nekrasov's Partition Function and Refined Donaldson-Thomas Theory: the Rank One Case

Contreras-Astorga A., J. Fernández C. D., Negro J.
Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators

Kuznetsova M.N., Pekcan A., Zhiber A.V.
The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,u_x,u_y)

Belmonte F., Măntoiu M.
Covariant Fields of C*-Algebras under Rieffel Deformation

Mourad E.H. Ismail; Stanton D.
Orthogonal Basic Hypergeometric Laurent Polynomials

Sucu Y., Unal N.
Coherent States for Tremblay-Turbiner-Winternitz Potential

Akhtar M., Coates T., Galkin S., Kasprzyk A.M.
Minkowski Polynomials and Mutations

Levin A.M., Olshanetsky M.A., Smirnov A.V., Zotov A.V.
Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles

Burlak G., Rabinovich V.
Time-Frequency Integrals and the Stationary Phase Method in Problems of Waves Propagation from Moving Sources

Witte N.S., Ormerod C.M.
Construction of a Lax Pair for the E₆ ⁽¹⁾ q-Painlevé System

Girelli F., Hinterleitner F., Major S.A.
Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics

Roffelsen P.
On the Number of Real Roots of the Yablonskii-Vorob'ev Polynomials

Borot G., Eynard B.
Geometry of Spectral Curves and All Order Dispersive Integrable System

Li S.
Renormalization Method and Mirror Symmetry

Takasaki K.
Old and New Reductions of Dispersionless Toda Hierarchy

Maltsev A.Y.
Whitham's Method and Dubrovin-Novikov Bracket in Single-Phase and Multiphase Cases

Nakanishi T.
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras

Kalnins E., Pogosyan G.S., Yakhno A.
Separation of Variables and Contractions on Two-Dimensional Hyperboloid

Muriel C., Romero J.L.
Nonlocal Symmetries, Telescopic Vector Fields and λ-Symmetries of Ordinary Differential Equations