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Symmetry, integrability and geometry: methods and applications
Tome 16 (2020)
Précédent Suivant


Aspects of Hecke Symmetry: Anomalies, Curves, and Chazy Equations
Sujay K. Ashok ; Dileep P. Jatkar ; Madhusudhan Raman

The Schwarz–Voronov Embedding of ${\mathbb Z}_{2}^{n}$-Manifolds
Andrew James Bruce ; Eduardo Ibarguengoytia ; Norbert Poncin

On Complex Gamma-Function Integrals
Sergey È. Derkachov ; Alexander N. Manashov

Flat Metrics with a Prescribed Derived Coframing
Robert L. Bryant ; Jeanne N. Clelland

A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds
Yuya Takeuchi

Analytic Classification of Families of Linear Differential Systems Unfolding a Resonant Irregular Singularity
Martin Klimeš

Some Consequences of Categorification
Dylan Rupel ; Salvatore Stella

On the Relationship between Classical and Deformed Hopf Fibrations
Tomasz Brzeziński ; James Gaunt ; Alexander Schenkel

New Examples of Irreducible Local Diffusion of Hyperbolic PDE's
Victor A. Vassiliev

Singular Nonsymmetric Macdonald Polynomials and Quasistaircases
Laura Colmenarejo ; Charles F. Dunkl

On Closed Finite Gap Curves in Spaceforms I
Sebastian Klein ; Martin Kilian

Quasi-Isometric Bounded Generation by ${\mathbb Q}$-Rank-One Subgroups
Dave Witte Morris

Cluster Structures and Subfans in Scattering Diagrams
Yan Zhou

Short Star-Products for Filtered Quantizations, I
Pavel Etingof ; Douglas Stryker

Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates
Antonella Marchesiello ; Libor Šnobl

Intersections of Hypersurfaces and Ring of Conditions of a Spherical Homogeneous Space
Kiumars Kaveh ; Askold G. Khovanskii

Legendrian DGA Representations and the Colored Kauffman Polynomial
Justin Murray ; Dan Rutherford

Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero
Hau-Wen Huang ; Sarah Bockting-Conrad

A Faithful Braid Group Action on the Stable Category of Tricomplexes
Mikhail Khovanov ; You Qi

Geometric Approach to Quantum Theory
Albert Schwarz

Collapsed Ricci Limit Spaces as Non-Collapsed ${\rm RCD}$ Spaces
Shouhei Honda

Counting Periodic Trajectories of Finsler Billiards
Pavle V. M. Blagojević ; Michael Harrison ; S. Tabachnikov ; Günter M. Ziegler

On the 80th Birthday of Dmitry Borisovich Fuchs
Alice Fialowski ; Ekaterina Fuchs ; Elena Fuchs ; Boris Khesin ; Alexandre Kirillov ; Fedor Malikov ; Valentin Ovsienko ; Alexei Sossinsky ; Serge Tabachnikov

Horospherical Cauchy Transform on Some Pseudo-Hyperbolic Spaces
Simon Gindikin

Presentations of Cluster Modular Groups and Generation by Cluster Dehn Twists
Tsukasa Ishibashi

Virtual Classes for the Working Mathematician
Luca Battistella ; Francesca Carocci ; Cristina Manolache

Bach Flow on Homogeneous Products
Dylan Helliwell

Exponents Associated with $Y$-Systems and their Relationship with $q$-Series
Yuma Mizuno

Non-Abelian Hodge Theory and Related Topics
Pengfei Huang

NNSC-Cobordism of Bartnik Data in High Dimensions
Xue Hu ; Yuguang Shi

Permutation-Equivariant Quantum K-Theory X. Quantum Hirzebruch–Riemann–Roch in Genus 0
Alexander Givental

Global Mirrors and Discrepant Transformations for Toric Deligne–Mumford Stacks
Hiroshi Iritani

Nonnegative Scalar Curvature and Area Decreasing Maps
Weiping Zhang

Breathing Modes, Quartic Nonlinearities and Effective Resonant Systems
Oleg Evnin

Duality for Knizhnik–Zamolodchikov and Dynamical Operators
Vitaly Tarasov ; Filipp Uvarov

Note on the Retarded van der Waals Potential within the Dipole Approximation
Tadahiro Miyao

An Infinite-Dimensional $\square_q$-Module Obtained from the $q$-Shuffle Algebra for Affine $\mathfrak{sl}_2$
Sarah Post ; Paul Terwilliger

Quantum Statistical Mechanics of the Absolute Galois Group
Yuri I. Manin ; Matilde Marcolli

Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras
Sebastian Burciu

Local Moduli of Semisimple Frobenius Coalescent Structures
Giordano Cotti ; Boris Dubrovin ; Davide Guzzetti

Generalized B-Opers
Indranil Biswas ; Laura P. Schaposnik ; Mengxue Yang

Is There an Analytic Theory of Automorphic Functions for Complex Algebraic Curves?
Edward Frenkel

Isomorphism between the $R$-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types $B$ and $D$
Naihuan Jing ; Ming Liu ; Alexander Molev

Higher Rank $\hat{Z}$ and $F_K$
Sunghyuk Park

A Lightcone Embedding of the Twin Building of a Hyperbolic Kac–Moody Group
Lisa Carbone ; Alex J. Feingold ; Walter Freyn

Routh Reduction of Palatini Gravity in Vacuum
Santiago Capriotti

New Separation of Variables for the Classical XXX and XXZ Heisenberg Spin Chains
Guido Magnano ; Taras Skrypnyk

Triply Periodic Monopoles and Difference Modules on Elliptic Curves
Takuro Mochizuki

Reddening Sequences for Banff Quivers and the Class $\mathcal{P}$
Eric Bucher ; John Machacek

On the Notion of Noncommutative Submanifold
Francesco D'Andrea

Dual Invertible Polynomials with Permutation Symmetries and the Orbifold Euler Characteristic
Wolfgang Ebeling ; Sabir M. Gusein-Zade

On the Extended-Hamiltonian Structure of Certain Superintegrable Systems on Constant-Curvature Riemannian and Pseudo-Riemannian Surfaces
Claudia Maria Chanu ; Giovanni Rastelli

Addition of Divisors on Hyperelliptic Curves via Interpolation Polynomials
Julia Bernatska ; Yaacov Kopeliovich

Reduced Forms of Linear Differential Systems and the Intrinsic Galois–Lie Algebra of Katz
Moulay Barkatou ; Thomas Cluzeau ; Lucia Di Vizio ; Jacques-Arthur Weil

A Note on Disk Counting in Toric Orbifolds
Kwokwai Chan ; Cheol-Hyun Cho ; Siu-Cheong Lau ; Naichung Conan Leung ; Hsian-Hua Tseng

New Explicit Lorentzian Einstein–Weyl Structures in 3-Dimensions
Joël Merker ; Paweł Nurowski

On Frobenius' Theta Formula
Alessio Fiorentino ; Riccardo Salvati Manni

On the Number of $\tau$-Tilting Modules over Nakayama Algebras
Hanpeng Gao ; Ralf Schiffler

Mirror Symmetry for Nonabelian Landau–Ginzburg Models
Nathan Priddis ; Joseph Ward ; Matthew M. Williams

Multi-Component Extension of CAC Systems
Dan-Da Zhang ; Peter H. van der Kamp ; Da-Jun Zhang

Noncommutative Residue and Canonical Trace on Noncommutative Tori. Uniqueness Results
Raphaël Ponge

Contingency Tables with Variable Margins (with an Appendix by Pavel Etingof)
Mikhail Kapranov ; Vadim Schechtman

The Elliptic Painlevé Lax Equation vs. van Diejen's $8$-Coupling Elliptic Hamiltonian
Masatoshi Noumi ; Simon Ruijsenaars ; Yasuhiko Yamada

The Bochner Technique and Weighted Curvatures
Peter Petersen ; Matthias Wink

Solvable Lie Algebras of Vector Fields and a Lie's Conjecture
Katarzyna Grabowska ; Janusz Grabowski

Dendriform Algebras Relative to a Semigroup
Marcelo Aguiar

Cyclic Sieving and Cluster Duality of Grassmannian
Linhui Shen ; Daping Weng

Gromov Rigidity of Bi-Invariant Metrics on Lie Groups and Homogeneous Spaces
Yukai Sun ; Xianzhe Dai

On the Irreducibility of Some Quiver Varieties
Claudio Bartocci ; Ugo Bruzzo ; Valeriano Lanza ; Claudio L. S. Rava

Motivic Donaldson–Thomas Invariants of Parabolic Higgs Bundles and Parabolic Connections on a Curve
Roman Fedorov ; Alexander Soibelman ; Yan Soibelman

Evaluations of Noncommutative Polynomials on Algebras: Methods and Problems, and the L'vov–Kaplansky Conjecture
Alexei Kanel-Belov ; Sergey Malev ; Louis Rowen ; Roman Yavich

Barnes–Ismagilov Integrals and Hypergeometric Functions of the Complex Field
Yury A. Neretin

Nonstandard Quantum Complex Projective Line
Nicola Ciccoli ; Albert Jeu-Liang Sheu

The Endless Beta Integrals
Gor A. Sarkissian ; Vyacheslav P. Spiridonov

The Racah Algebra as a Subalgebra of the Bannai–Ito Algebra
Hau-Wen Huang

Elliptic and $q$-Analogs of the Fibonomial Numbers
Nantel Bergeron ; Cesar Ceballos ; Josef Küstner

Twisted Representations of Algebra of $q$-Difference Operators, Twisted $q$-$W$ Algebras and Conformal Blocks
Mikhail Bershtein ; Roman Gonin

The Fundamental Groups of Open Manifolds with Nonnegative Ricci Curvature
Jiayin Pan

Admissible Boundary Values for the Gerdjikov–Ivanov Equation with Asymptotically Time-Periodic Boundary Data
Samuel Fromm

Modular Construction of Free Hyperplane Arrangements
Shuhei Tsujie

Integral Structure for Simple Singularities
Todor Milanov ; Chenghan Zha

On the Unbounded Picture of $KK$-Theory
Jens Kaad

On Products of Delta Distributions and Resultants
Michel Bauer ; Jean-Bernard Zuber

Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions
Ayumu Hoshino ; Jun'ichi Shiraishi

A Fock Model and the Segal–Bargmann Transform for the Minimal Representation of the Orthosymplectic Lie Superalgebra $\mathfrak{osp}(m,2|2n)$
Sigiswald Barbier ; Sam Claerebout ; Hendrik De Bie

Uniform Lower Bound for Intersection Numbers of $\psi$-Classes
Vincent Delecroix ; Élise Goujard ; Peter Zograf ; Anton Zorich

Perturbed $(2n-1)$-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of $U(n, n)$
Anatol Odzijewicz

Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems
Hjalmar Rosengren ; Michael J. Schlosser

Simple Vectorial Lie Algebras in Characteristic 2 and their Superizations
Sofiane Bouarroudj ; Pavel Grozman ; Alexei Lebedev ; Dimitry Leites ; Irina Shchepochkina

About Bounds for Eigenvalues of the Laplacian with Density
Aïssatou Mossèle Ndiaye

The Causal Action in Minkowski Space and Surface Layer Integrals
Felix Finster

On the Generalized Cluster Algebras of Geometric Type
Liqian Bai ; Xueqing Chen ; Ming Ding ; Fan Xu

Feature Matching and Heat Flow in Centro-Affine Geometry
Peter J. Olver ; Changzheng Qu ; Yun Yang

On Abelianity Lines in Elliptic $W$-Algebras
Jean Avan ; Luc Frappat ; Eric Ragoucy

Covariant vs Contravariant Methods in Differential Geometry
Maung Min-Oo

Torus-Equivariant Chow Rings of Quiver Moduli
Hans Franzen

Differential Calculus of Hochschild Pairs for Infinity-Categories
Isamu Iwanari

Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms
Marco Matassa

Dihedral Rigidity of Parabolic Polyhedrons in Hyperbolic Spaces
Chao Li

A Riemann–Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants
Roozbeh Gharakhloo ; Alexander Its

A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain
Linnea Hietala

Triangle Groups: Automorphic Forms and Nonlinear Differential Equations
Sujay K. Ashok ; Dileep P. Jatkar ; Madhusudhan Raman

Symmetries of the Simply-Laced Quantum Connections and Quantisation of Quiver Varieties
Gabriele Rembado

Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds
Aaron Naber

Basic Properties of Non-Stationary Ruijsenaars Functions
Edwin Langmann ; Masatoshi Noumi ; Junichi Shiraishi

Walls for $G$-Hilb via Reid's Recipe
Ben Wormleighton

Quasi-Invariants in Characteristic $p$ and Twisted Quasi-Invariants
Michael Ren ; Xiaomeng Xu

Controlled Loewner–Kufarev Equation Embedded into the Universal Grassmannian
Takafumi Amaba ; Roland Friedrich

Real Part of Twisted-by-Grading Spectral Triples
Manuele Filaci ; Pierre Martinetti

Flat Structure on the Space of Isomonodromic Deformations
Mitsuo Kato ; Toshiyuki Mano ; Jiro Sekiguchi

Elliptic Double Affine Hecke Algebras
Eric M. Rains

Yangian of the General Linear Lie Superalgebra
Maxim Nazarov

$q$-Difference Systems for the Jackson Integral of Symmetric Selberg Type
Masahiko Ito

The Measure Preserving Isometry Groups of Metric Measure Spaces
Yifan Guo

The Full Symmetric Toda Flow and Intersections of Bruhat Cells
Yuri B. Chernyakov ; Georgy I. Sharygin ; Alexander S. Sorin ; Dmitry V. Talalaev

Non-Stationary Ruijsenaars Functions for $\kappa=t^{-1/N}$ and Intertwining Operators of Ding–Iohara–Miki Algebra
Masayuki Fukuda ; Yusuke Ohkubo ; Jun'ichi Shiraishi

A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces
Victor S. Barbosa ; Valdir A. Menegatto

New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials
Genki Shibukawa

Counting Collisions in an $N$-Billiard System Using Angles Between Collision Subspaces
Sean Gasiorek

Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types
Andrii N. Liashyk ; Stanislav Z. Pakuliak

Obstructions for Symplectic Lie Algebroids
Ralph L. Klaasse

An Analog of Leclerc's Conjecture for Bases of Quantum Cluster Algebras
Fan Qin

Collapsing Geometry with Ricci Curvature Bounded Below and Ricci Flow Smoothing
Shaosai Huang ; Xiaochun Rong ; Bing Wang

Further Results on a Function Relevant for Conformal Blocks
Vincent Comeau ; Jean-François Fortin ; Witold Skiba

A Map Between Moduli Spaces of Connections
Frank Loray ; Valente Ramírez

Small Gauge Transformations and Universal Geometry in Heterotic Theories
Jock McOrist ; Roberto Sisca

Width, Largeness and Index Theory
Rudolf Zeidler

Defining Pointwise Lower Scalar Curvature Bounds for $C^0$ Metrics with Regularization by Ricci Flow
Paula Burkhardt-Guim

Positive Scalar Curvature due to the Cokernel of the Classifying Map
Thomas Schick ; Vito Felice Zenobi

Cyclic Sieving for Plane Partitions and Symmetry
Sam Hopkins

Inscribed Radius Bounds for Lower Ricci Bounded Metric Measure Spaces with Mean Convex Boundary
Annegret Burtscher ; Christian Ketterer ; Robert J. McCann ; Eric Woolgar

Perfect Integrability and Gaudin Models
Kang Lu

Determinantal Expressions in Multi-Species TASEP
Jeffrey Kuan

Knot Complement, ADO Invariants and their Deformations for Torus Knots
John Chae

Toward Classification of 2nd Order Superintegrable Systems in 3-Dimensional Conformally Flat Spaces with Functionally Linearly Dependent Symmetry Operators
Bjorn K. Berntson ; Ernest G. Kalnins ; Willard Miller Jr.

On the $2$-Systole of Stretched Enough Positive Scalar Curvature Metrics on $\mathbb{S}^2\times\mathbb{S}^2$
Thomas Richard

Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation
Jun Jiang ; Satyendra Kumar Mishra ; Yunhe Sheng

Snake Graphs from Triangulated Orbifolds
Esther Banaian ; Elizabeth Kelley

Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process
Eunghyun Lee

An Explicit Example of Polynomials Orthogonal on the Unit Circle with a Dense Point Spectrum Generated by a Geometric Distribution
Alexei Zhedanov

Extension Quiver for Lie Superalgebra $\mathfrak{q}(3)$
Nikolay Grantcharov ; Vera Serganova

An Elliptic Hypergeometric Function Approach to Branching Rules
Chul-hee Lee ; Eric M. Rains ; S. Ole Warnaar

Riemannian Geometry of a Discretized Circle and Torus
Arkadiusz Bochniak ; Andrzej Sitarz ; Pawelł Zalecki

Solitons of Some Nonlinear Sigma-Like Models
V. E. Vekslerchik

Representations of Quantum Affine Algebras in their $R$-Matrix Realization
Naihuan Jing ; Ming Liu ; Alexander Molev

The Noncommutative Geometry of the Landau Hamiltonian: Metric Aspects
Giuseppe De Nittis ; Maximiliano Sandoval
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