Yang-Baxter maps and their role in discrete nonlinear integrable systems theory

Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw.  www.fuw.edu.pl

The Faculty of Physics is a large research and teaching center. It consists of The Institutes of Theoretical Physics, Experimental Physics, Geophysics, The Astronomical Observatory and The Department of Mathematical Methods in Physics. The Faculty is regarded as one of the best in the country, recognized internationally for the high quality of research and education.

Dr Pavlos Kassotakis

Department of Mathematical Methods in Physics

Faculty of Physics

University of Warsaw

Pasteura 5, 02-093

Warsaw

Poland

email: Pavlos.Kassotakis(AT)fuw.edu.pl

1. 13.06.2023 - 24.06.2023. Dr. Theodoros Kouloukas' (Linkoln University,  UK ) visit at University of Warsaw,  Series of discussions on non-abelian Yang-Baxter maps.

2.  SIDE 14.2. Conference, 19-23 June 2023, Warsaw, Poland

http://indico.fuw.edu.pl/internalPage.py?pageId=3&confId=67

3. Exact Results in Quantum Theory & Gravity. Seminar, 16th of June 2023, University of Warsaw, Poland,

Pavlos Kassotakis, 3D-compatible maps and integrable difference systems 

       https://www.fuw.edu.pl/~exact/old9-index.html

4. Nonlinearity and Geometry. Seminar, 7th of February 2024, University of Warsaw, Poland 

-Alexander Stokes   (MIMUW),  Roots of generalised Okamoto polynomials and partial-rogue waves in the Sasa-Satsuma equation

-Giorgio Gubbiotti  (Universita degli Studi di Milano), Coalgebra symmetry and its applications

5. SEMINARIUM TEORIA DWOISTOŚCI. Seminar, 3rd of October 2024, University of Warsaw Poland

Pavlos Kassotakis,     On quadrirational Yang-Baxter and pentagon maps

        https://www.fuw.edu.pl/~kmmf/sem.czw.przedp.ogon/sem.czw.przedp.program.html

6.  16th symposium on integrable systems. 8th-9th of June 2024, Olsztyn, Poland

https://wmii.uwm.edu.pl/~doliwa/IS-2024/IntegrableSystems2024.html

7. String theory journal club.  Seminar, 5th of November 2024, University of Warsaw Poland

Pavlos Kassotakis,     On quadrirational Yang-Baxter and pentagon maps

https://www.fuw.edu.pl/string-theory-journal-club-en.html?day=20241001

   8. 19.11.2024 - 26.11.2024.  Professor Alexander Mikhailov's (University of Leeds, UK )  visit at University of Warsaw,  Series of discussions on integrable discretizations of nonlinear chiral models.

   9. Host Institution Open Days.  DOKO 22 of March 2025 

https://doko.mimuw.edu.pl/2025/zajecia/1079?continue=%2F2025%2Fplan-zajec

1. P. Kassotakis.  Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps.  Nonlinearity, 36(5):2514-2540, 2023.

2.  P. Kassotakis.  Matrix factorizations and pentagon maps. Proceedings of the Royal Society A, 479, 20230276, 2023.

3.  C. Evripidou, P. Kassotakis, A. Tongas. On quadrirational pentagon maps. Journal of Physics A: Mathematical and Theoretical, 57, 455203, 2024  

4.  P. Kassotakis. Entwining tetrahedron maps. Partial Differential Equations in Applied Mathematics, 12, 100949, 2024

5.  P. Kassotakis, T. Kouloukas, M. Nieszporski. On refactorization problems and rational Lax matrices of quadrirational Yang–Baxter maps. Partial Differential Equations in Applied Mathematics, 13, 101094 , 2025

6. P. Kassotakis, T. Kouloukas, M. Nieszporski. Nuclear Physics B. Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions. 1012, 116824, 2025

7. J. L. Cieśliński, A. V. Mikhailov, M. Nieszporski, F. W. Nijhoff. Discrete integrable principal chiral field model and its involutive reduction. Studies in Applied Mathematics. 155:e70084, 2025 

8. P. Kassotakis, M. Nieszporski. Idempotent compatible maps and discrete integrable systems on the triangular lattice. Submitted to  Journal of Physics A: Mathematical and Theoretical. (arXiv:2504.12212v1 [nlin.SI] ), 2025