MATRIX-RIMS Tandem Workshop: Integrable Probability, Combinatorics and Representation Theory

David Wood

  •  26 Sep 2022 - 30 Sep 2022
     8:00 am - 5:00 pm

Sasha Garbali (University of Melbourne)
Michael Wheeler (University of Melbourne)

Chihiro Matsui (University of Tokyo)
Masato Okado (Osaka Metropolitan University)
Tomohiro Sasamoto (Tokyo Institute of Technology)

Program Description:
In the last 20 years or so, extensive and intensive studies of integrable stochastic interacting systems have revealed their rich and deep mathematical structures related to combinatorics, quantum algebras, special functions and representation theory. Various concepts and methods in the latter have been successfully applied to statistical mechanical models in probability theory. At the same time, in the opposite direction, clarifying properties of stochastic models have brought strong motivations to explore various generalizations and new insights in combinatorics and special functions. On this subject there are several groups of strong researchers who have made important contributions both in Australia and Japan. This research program aims to create an opportunity where they meet together, discuss most recent developments and start new collaborations across the two countries.

Some potential focal points of this workshop are listed below:
– Crystals and box ball systems
– Symmetric functions
– Stochastic vertex models and integrable probability

Program Structure: 

Each day of the five-day workshop will have the same basic structure:
1. A total of four research talks, two hosted by MATRIX and two hosted by RIMS, with talks from one location streamed to the other.
2. A total of three hours set aside for collaboration. Collaboration via Zoom, between participants at MATRIX and RIMS, will be encouraged.

Further information can be found here:

In-person participant list:
Arvind Ayyer (Indian Institute of Science)
Alexandr Garbali (University of Melbourne)
Jan de Gier  (University of Melbourne)
Weiying Guo  (University of Melbourne)
Peter McNamara  (University of Melbourne)
William Mead  (University of Melbourne)
Arun Ram  (University of Melbourne)
Michael Wheeler (University of Melbourne)
Paul Zinn-Justin (University of Melbourne)
Jean-Emile Bourgine (University of Melbourne)


MATRIX Wine and Cheese Afternoon 27 September 2022
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.