École: L'abécédaire de SIDE (ASIDE)

27 juin au 1 juillet 2016

Programme

 

Le lundi 27 juin 2016

08:30 - 09:00
Inscription et café croissants
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)

Session - Continuous symmetries of discrete equations. Structure preserving discretization of differential equations and numerical methods
Salle(s) de réunion : Z-330 (Pav. Claire-McNicoll)

09:00 - 09:50
Alexander Bihlo (Memorial University of Newfoundland)
Francis Valiquette (State University of New York at New Paltz)
Symmetry-preserving numerical schemes - I
Résumé
09:50 - 10:40
Alexander Bihlo (Memorial University of Newfoundland)
Francis Valiquette (State University of New York at New Paltz)
Symmetry-preserving numerical schemes - II
Résumé
10:40 - 11:00
Pause-café
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)
11:00 - 11:50
Alexander Bihlo (Memorial University of Newfoundland)
Francis Valiquette (State University of New York at New Paltz)
Symmetry-preserving numerical schemes - III
Résumé
11:50 - 12:40
Alexander Bihlo (Memorial University of Newfoundland)
Francis Valiquette (State University of New York at New Paltz)
Symmetry-preserving numerical schemes - IV
Résumé

12:40 - 14:30
Pause-déjeuner

Session - Cluster algebras and discrete integrable systems. Dynamics on graphs and combinatorics
Salle(s) de réunion : Z-330 (Pav. Claire-McNicoll)

14:30 - 15:20
Max Glick (University of Minnesota)
Dylan Rupel (University of Notre Dame)
Introduction to cluster algebras (part 1)
Résumé
15:20 - 16:10
Max Glick (University of Minnesota)
Dylan Rupel (University of Notre Dame)
Introduction to cluster algebras (part 2)
Résumé
16:10 - 16:30
Pause-café
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)
16:30 - 17:20
Max Glick (University of Minnesota)
Dylan Rupel (University of Notre Dame)
Compatible Poisson structures and quantization of cluster algebras
Résumé
17:20 - 18:10
Max Glick (University of Minnesota)
Dylan Rupel (University of Notre Dame)
Integrability in cluster algebras
Résumé

 

Le mardi 28 juin 2016

08:30 - 09:00
Café croissants
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)

Session - Orthogonal polynomials, special functions and their relation to discrete integrable systems and their elliptic analogs
Salle(s) de réunion : Z-330 (Pav. Claire-McNicoll)

09:00 - 09:50
Vincent Genest
(MIT)
Superintegrable systems of second order, recoupling of Lie algebra representations and the discrete branch of the Askey scheme - I
Résumé
09:50 - 10:40
Vincent Genest
(MIT)
Superintegrable systems of second order, recoupling of Lie algebra representations and the discrete branch of the Askey scheme - II
Résumé
10:40 - 11:00
Pause-café
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)
11:00 - 11:50
Fokko J. van de Bult
(Deift University of Technology)
Elliptic hypergeometric series and biorthogonality - I
Résumé
11:50 - 12:40
Fokko J. van de Bult
(Deift University of Technology)
Elliptic hypergeometric series and biorthogonality - II
Résumé

12:40 - 14:30
Pause-déjeuner

Session - Discrete, continuous and ultradiscrete Painlevé equations
Salle(s) de réunion : Z-330 (Pav. Claire-McNicoll)

14:30 - 14:40
Masakata Kanki
(Kansai University)
Overview
Résumé
14:40 - 15:50
Nobutaka Nakazono
(The University of Sydney)
Painlevé equations
Résumé
15:50 - 16:10
Pause-café
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)
16:10 - 17:20
Yang Shi
(The University of Sydney)
Discrete Painlevé equations
Résumé
17:20 - 18:30
Masakata Kanki
(Kansai University)
Ultradiscrete Painlevé equations
Résumé

 

Le mercredi 29 juin 2016

08:30 - 09:00
Café croissants
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)

Session - Integrability criteria for single and multivariable difference equations and differential difference equations
Salle(s) de réunion : Z-330 (Pav. Claire-McNicoll)

09:00 - 09:50
Giorgio Gubbiotti
(Università degli Studi Roma Tre)
Integrability of difference equations through algebraic entropy and generalized symmetries - I
Résumé
09:50 - 10:40
Giorgio Gubbiotti
(Università degli Studi Roma Tre)
Integrability of difference equations through algebraic entropy and generalized symmetries - II
Résumé
10:40 - 11:00
Pause-café
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)
11:00 - 11:50
Giorgio Gubbiotti
(Università degli Studi Roma Tre)
Integrability of difference equations through algebraic entropy and generalized symmetries - III
Résumé
11:50 - 12:40
Giorgio Gubbiotti
(Università degli Studi Roma Tre)
Integrability of difference equations through algebraic entropy and generalized symmetries - IV
Résumé

Après-midi libre

 

Le jeudi 30 juin 2016

08:30 - 09:00
Café croissants
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)

Session - Discrete integrable systems and isomonodromy transformations. Yang-Baxter maps and quantum discrete integrable systems
Salle(s) de réunion : Z-330 (Pav. Claire-McNicoll)

09:00 - 09:50
Sotiris Konstantinou-Rizos
(Chechen State University)
Darboux & Bäcklund transformations: discrete systems, matrix refactorisation problems and Yang-Baxter maps - I
Résumé
09:50 - 10:40
Sotiris Konstantinou-Rizos
(Chechen State University)
Darboux & Bäcklund transformations: discrete systems, matrix refactorisation problems and Yang-Baxter maps - II
Résumé
10:40 - 11:00
Pause-café
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)
11:00 - 11:50
Deniz Bilman
(University of Michigan)
The Toda lattice - I
Résumé
11:50 - 12:40
Deniz Bilman
(University of Michigan)
The Toda lattice - II
Résumé

12:40 - 14:30
Pause-déjeuner

Session - Difference Galois theory
Salle(s) de réunion : Z-330 (Pav. Claire-McNicoll)

14:30 - 15:20
Julien Roques
(Université Grenoble Alpes)
Difference Galois theory - I
Résumé
15:20 - 16:10
Julien Roques
(Université Grenoble Alpes)
Difference Galois theory - II
Résumé
16:10 - 16:30
Pause-café
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)
16:30 - 17:20
Julien Roques
(Université Grenoble Alpes)
Difference Galois theory - III
Résumé
17:20 - 18:10
Julien Roques
(Université Grenoble Alpes)
Difference Galois theory - IV
Résumé

 

Le vendredi 1 juillet 2016

08:30 - 09:00
Café croissants
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)

Session - Discrete differential geometry
Salle(s) de réunion : Z-330 (Pav. Claire-McNicoll)

09:00 - 09:50
Ulrike Bücking
(TU Berlin)
Introduction to linear and non-linear integrable theories in discrete complex analysis - I
Résumé
09:50 - 10:40
Ulrike Bücking
(TU Berlin)
Introduction to linear and non-linear integrable theories in discrete complex analysis - II
Résumé
10:40 - 11:00
Pause-café
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)
11:00 - 11:50
Ulrike Bücking
(TU Berlin)
Introduction to linear and non-linear integrable theories in discrete complex analysis - III
Résumé
11:50 - 12:40
Ulrike Bücking
(TU Berlin)
Introduction to linear and non-linear integrable theories in discrete complex analysis - IV
Résumé

12:40 - 14:30
Pause-déjeuner

Session - Lattices and symmetries in physical applications
Salle(s) de réunion : Z-330 (Pav. Claire-McNicoll)

14:30 - 15:20
Milosz Panfil
(University of Warsaw)
Lattice integrability and the XXX model - I
Résumé
15:20 - 16:10
Milosz Panfil
(University of Warsaw)
Lattice integrability and the XXX model - II
Résumé
16:10 - 16:30
Pause-café
Salle(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)
16:30 - 17:20
Milosz Panfil
(University of Warsaw)
Lattice integrability and the XXX model - III
Résumé
17:20 - 18:10
Milosz Panfil
(University of Warsaw)
Lattice integrability and the XXX model - IV
Résumé