Yamagata Integrable Systems Workshop  Development and Applications of New Mathematical Methods for Discrete Integrable Systems”          

 

·       Dates: March 20 (afternoon) – March 22 (morning), 2026

·       Venue: Hotel Stay Inn Nanokamachi, 5th Floor Conference Room
2-7-10 Nanokamachi, Yamagata City, Yamagata 990-0042, Japan
The workshop will be held in person only. No online streaming will be provided. Participants who require accommodation should make their own reservations.

·       Registration (Deadline: March 15, 2026):
Please register using the registration form. Because the venue has a limited capacity, registration may close once the limit is reached.

·       Invited Speakers:
Da-jun Zhang (Shanghai Univ., online), Cheng Zhang (Shanghai Univ., online), Daisuke Takahashi (Waseda Univ.), Yasuhiro Ohta (Kobe Univ.), Atsushi Nobe (Waseda Univ.), Hidetomo Nagai (Tokai Univ.), Alexander Stokes (Waseda Univ.), Nobutaka Nakazono (Tokyo Univ. of Agriculture and Technology, online), Linyu Peng (Keio Univ.), Shangshuai Li (Nagoya Univ.), Takeo Kojima (Yamagata Univ.), Wookyung Kim (Univ. of Tokyo), Kayo Kinjo (Saitama Univ. ), Yuta Tanaka, Ryosuke Naganuma (Waseda Univ.), Allan Gerrard
(Japan Women’s Univ.)

 

Tentative Program

(Subject to change)

March 20 (Fri.)

13:30  Doors open

 

14:20–15:00     Yuta Tanaka    Recurrence equations with variable order and period: Exploration and analysis of their mathematical structures

15:00–15:40     Ryosuke Naganuma (Waseda University) Construction of multi-lump solutions of the elliptic two-dimensional Toda lattice equation and their wave pattern

 

15:50–16:30     Wookyung Kim (University of Tokyo) Integrable deformations of affine type A cluster maps associated with discrete sine–Gordon equations and discrete q-Painlevé VI

16:30–17:10     Atsushi Nobe (Waseda University)  A one-parameter family of integrable differential equations arising from the SIR model with vaccination

 

18:00                Discussion

 

March 21 (Sat.)

 

Online Special Session

9:50–10:30       Da-jun Zhang (Shanghai University, online)   Direct linearization formulation of the ABS equations

10:40–11:20     Nobutaka Nakazono (Tokyo University of Agriculture and Technology, online)  

Exact solutions to autonomous partial difference equations via the Painlevé III and VI equations and the Garnier system in two variables

11:30–12:10     Cheng Zhang (Shanghai University, online)  Lattice potential Boussinesq equation: Consistency check and Miura-transformation

 

13:30–14:10     Yasuhiro Ohta (Kobe University)  Cayley formula, Toda molecule equation and their Pfaffian analogues

14:10–14:50     Alexander Stokes (Waseda University)  Painlevé Equations with constraints: their geometry and their symmetry groups

 

15:00–15:40     Linyu Peng (Keio University)  Integrable lattice systems with PGL(3) symmetry from spectral factorization

15:40–16:20     Takeo Kojima (Yamagata University)  Construction of integrals of motion for the deformed \(W\)-algebra \(W_{q,t}(D)\)

 

16:30–17:10     Daisuke Takahashi (Waseda University)  Three-dimensional fundamental diagram

 

18:00                Discussion & reception

 

March 22 (Sun.)

9:40–10:20      Shangshuai Li (Nagoya University)  On soliton-preserving anti-self-dual Yang-Mills reductions

10:20–11:00     Hidetomo Nagai (Tokai University)  Ultradiscretization of a Mathematical Model in Social Dynamics

 

11:10–11:50     Allan Gerrard (Japan Women’s University)   Reflections on the Heisenberg model

11:50–12:30     Kayo Kinjo  (Saitama University)  Koopman Data Analysis from the Perspective of Integrable Systems

 

Funding Acknowledgment

This workshop is supported by the JSPS Bilateral Joint Research Project (Project No. 20247414) “Development and Applications of Innovative Mathematical Methods in Discrete Integrable Systems,” and by JSPS KAKENHI Grant-in-Aid for Scientific Research (C) 22K03441 “Development, Advancement, and Applications of Innovative Mathematical Techniques Based on Integrable Systems Theory.”

Organizer: Ken-ichi Maruno (Waseda University)