Integrable combinatorics — IMJ-PRG summer school 2026

15 juin 2026, 08:30 → 19 juin 2026, 13:00 Europe/Paris

Campus Jussieu (Sorbonne Université)

The Institut de Mathématiques de Jussieu—Paris Rive Gauche organizes a yearly summer school. In 2026, the topic will be Integrable Combinatorics.

The field of integrable combinatorics seeks to understand certain universal phenomena through exactly soluble systems or physical models, thanks to properties of algebraic origin, coming in particular from representation theory. This school will give an introduction to methods for finding and analyzing such integrable models, as well as to purely combinatorial approaches.  We will illustrate how to solve various problems, mainly of exact or asymptotic enumeration, via a range of techniques borrowed from enumerative combinatorics, algebraic combinatorics and statistical physics.

The tentative program will consist in four mini-courses, and four introductory research talks. In addition, there will be a limited number of contributed talks and a poster session to give to the participants the opportunity to present their works.

The mini-courses will be given by :

• Luigi Cantini (CY Cergy Paris University) - "An Integrable Systems Perspective on Symmetric Function Theory"
• Maurice Duits (KTH Stockholm) - "Random Tilings and Integrable Structures"
• Rei Inoue (Chiba University) - "Symmetries of discrete and ultradiscrete integrable systems"
• Anne Schilling (UC Davis) - "Crystals and symmetric functions"

The introductory research talks will be given by :

• Arvind Ayyer (IISc Bangalore) - "Interacting particle systems and Macdonald polynomials"
• Béatrice de Tilière (Université Paris-Dauphine PSL)
• Giulio Ruzza (University of Lisbon)
• Anna Weigandt (University of Minnesota)

The pre-registrationis now open, please complete the form if you are willing to participate.  A temporary schedule for the week is below. More details on the scientific program, final registration and other practical matters, will appear on this page in due time.

Local organizers : 

• Kahina Bencheikh 
• Jérémie Bouttier 
• Sylvie Corteel 
• Sofia Tarricone

Book of Abstracts Summer School IMJ-PRG 2026.pdf

lun. 15 juin

08:30 → 09:00 Welcoming

09:00 → 10:30 Lecture 1 Part 1

10:30 → 11:00 Coffee Break

11:00 → 12:30 Lecture 2 Part 1

12:30 → 14:00 Lunch Break

14:00 → 15:00 Exercices class Lecture 1

15:00 → 15:30 Coffee Break

15:30 → 17:00 Lecture 3 Part 1

mar. 16 juin

09:00 → 10:30 Lecture 1 Part 2

10:30 → 11:00 Coffee Break

11:00 → 12:30 Lecture 4 Part 1

12:30 → 14:00 Lunch Break

14:00 → 15:00 Exercices class Lecture 2

15:00 → 15:30 Coffee Break

15:30 → 16:30 Talk 1

16:30 → 16:45 Contributed Talk 1

16:45 → 17:00 Contributed Talk 2

18:00 → 20:00 Cocktail and Poster Session

mer. 17 juin

09:00 → 10:30 Lecture 2 Part 2

10:30 → 11:00 Coffee Break

11:00 → 12:00 Exercices class Lecture 3

12:00 → 13:00 Talk 2

jeu. 18 juin

09:00 → 10:30 Lecture 3 Part 2

10:30 → 11:00 Coffee Break

11:00 → 12:00 Talk 3

12:00 → 12:15 Contributed Talk 3

12:15 → 12:30 Contributed Talk 4

12:30 → 14:00 Lunch Break

14:00 → 15:00 Exercices class Lecture 4

15:00 → 15:30 Coffee Break

15:30 → 16:30 Talk 4

16:30 → 16:45 Contributed Talk 5

16:45 → 17:00 Contributed Talk 6

ven. 19 juin

09:00 → 10:30 Lecture 4 Part 2

10:30 → 11:00 Coffee Break

11:00 → 11:15 Contributed Talk 7

11:15 → 11:30 Contributed Talk 8

11:30 → 11:45 Contributed Talk 9

11:45 → 12:00 Contributed Talk 10

12:00 → 12:30 Closing remarks