School: Abecedarian of SIDE (ASIDE)

June 27 - July 1, 2016

Program

 

Monday, June 27, 2016

08:30 - 09:00
Registration and Coffee & Croissants
Room(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)

Session - Continuous symmetries of discrete equations. Structure preserving discretization of differential equations and numerical methods
Meeting room(s) : 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
Abstract
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
Abstract
10:40 - 11:00
Coffee break
Room(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
Abstract
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
Abstract

12:40 - 14:30
Lunch break

Session - Cluster algebras and discrete integrable systems. Dynamics on graphs and combinatorics
Meeting room(s) : 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)
Abstract
15:20 - 16:10
Max Glick (University of Minnesota)
Dylan Rupel (University of Notre Dame)
Introduction to cluster algebras (part 2)
Abstract
16:10 - 16:30
Coffee break
Room(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
Abstract
17:20 - 18:10
Max Glick (University of Minnesota)
Dylan Rupel (University of Notre Dame)
Integrability in cluster algebras
Abstract

 

Tuesday, June 28, 2016

08:30 - 09:00
Coffee & Croissants
Room(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)

Session - Orthogonal polynomials, special functions and their relation to discrete integrable systems and their elliptic analogs
Meeting room(s) : 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
Abstract
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
Abstract
10:40 - 11:00
Coffee break
Room(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
Abstract
11:50 - 12:40
Fokko J. van de Bult
(Deift University of Technology)
Elliptic hypergeometric series and biorthogonality - II
Abstract

12:40 - 14:30
Lunch break

Session - Discrete, continuous and ultradiscrete Painlevé equations
Meeting room(s) : Z-330 (Pav. Claire-McNicoll)

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

 

Wednesday, June 29, 2016

08:30 - 09:00
Coffee & Croissants
Room(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)

Session - Integrability criteria for single and multivariable difference equations and differential difference equations
Meeting room(s) : 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
Abstract
09:50 - 10:40
Giorgio Gubbiotti
(Università degli Studi Roma Tre)
Integrability of difference equations through algebraic entropy and generalized symmetries - II
Abstract
10:40 - 11:00
Coffee break
Room(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
Abstract
11:50 - 12:40
Giorgio Gubbiotti
(Università degli Studi Roma Tre)
Integrability of difference equations through algebraic entropy and generalized symmetries - IV
Abstract

Free afternoon

 

Thursday, June 30, 2016

08:30 - 09:00
Coffee & Croissants
Room(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)

Session - Discrete integrable systems and isomonodromy transformations. Yang-Baxter maps and quantum discrete integrable systems
Meeting room(s) : 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
Abstract
09:50 - 10:40
Sotiris Konstantinou-Rizos
(Chechen State University)
Darboux & Bäcklund transformations: discrete systems, matrix refactorisation problems and Yang-Baxter maps - II
Abstract
10:40 - 11:00
Coffee break
Room(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)
11:00 - 11:50
Deniz Bilman
(University of Michigan)
The Toda lattice - I
Abstract
11:50 - 12:40
Deniz Bilman
(University of Michigan)
The Toda lattice - II
Abstract

12:40 - 14:30
Lunch break

Session - Difference Galois theory
Meeting room(s) : Z-330 (Pav. Claire-McNicoll)

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

 

Friday, July 1, 2016

08:30 - 09:00
Coffee & Croissants
Room(s) 3e étage / 3rd floor (Pav. Claire-McNicoll)

Session - Discrete differential geometry
Meeting room(s) : 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
Abstract
09:50 - 10:40
Ulrike Bücking
(TU Berlin)
Introduction to linear and non-linear integrable theories in discrete complex analysis - II
Abstract
10:40 - 11:00
Coffee break
Room(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
Abstract
11:50 - 12:40
Ulrike Bücking
(TU Berlin)
Introduction to linear and non-linear integrable theories in discrete complex analysis - IV
Abstract

12:40 - 14:30
Lunch break

Session - Lattices and symmetries in physical applications
Meeting room(s) : Z-330 (Pav. Claire-McNicoll)

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