Seminars
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  


Introduction to Integrable Systems
February 9–May 25, 2021, online via Zoom, Moscow

We kindly ask all participants, including remote ones and those
watching recorded videos, to register at https://forms.gle/Nfq4sE6JUQsRv4bD9.


The first part of a course is mainly devoted to classical integrable systems. Main algebraic structures will be described such as the Lax equations, the classical r-matrices and related Poisson structures on Lie (co)algebras, coadjoint orbits and Lie groups. We will review different kind of models including examples of many-body systems, integrable tops, the classical (spin) chains as well as their continuous limit leading to integrable field theories having soliton type solutions. The phenomenon of integrability is often related to existence of symmetries, generated by the action of groups, and generating the conservation laws. Using the moment map technique, we will see that integrable systems can be obtained by performing the Hamiltonian reduction starting from a free motion. In the end we come to the main idea of R-matrix quantization underlying the quantum inverse scattering method and the Bethe ansatz. We will explain how the quantum groups appear naturally in this way.


Fall Semester Schedule of 2021/2022:

Time: Tuesday 14:45 – 16:10

First lecture: September 7


Financial support. The course is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2019-1614).

RSS: Forthcoming seminars

Seminar organizer
Zotov Andrei Vladimirovich

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Steklov International Mathematical Center


Introduction to Integrable Systems, Moscow, February 9–May 25, 2021

October 19, 2021 (Tue)
1. Lecture 7. Introduction to Integrable Systems II
A. V. Zotov
October 19, 2021 14:45, Moscow, online via Zoom

October 12, 2021 (Tue)
2. Lecture 6. Introduction to Integrable Systems II
A. V. Zotov
October 12, 2021 14:45, Moscow, online via Zoom
  

October 5, 2021 (Tue)
3. Lecture 5. Introduction to Integrable Systems II
A. V. Zotov
October 5, 2021 14:45, Moscow, online via Zoom

September 28, 2021 (Tue)
4. Lecture 4. Introduction to Integrable Systems II
A. V. Zotov
September 28, 2021 14:45, Moscow, online via Zoom
A. V. Zotov
  

September 21, 2021 (Tue)
5. Lecture 3. Introduction to Integrable Systems II
A. V. Zotov
September 21, 2021 14:45, Moscow, online via Zoom
A. V. Zotov
  

September 14, 2021 (Tue)
6. Lecture 2. Introduction to Integrable Systems II
A. V. Zotov
September 14, 2021 14:45, Moscow, online via Zoom
A. V. Zotov
  

September 7, 2021 (Tue)
7. Lecture 1. Introduction to Integrable Systems II
A. V. Zotov
September 7, 2021 14:45, Moscow, online via Zoom
A. V. Zotov
  

May 25, 2021 (Tue)
8. Lecture 14. Introduction to Integrable Systems
A. V. Zotov
May 25, 2021 13:35, Moscow, online via Zoom

May 18, 2021 (Tue)
9. Lecture 13. Introduction to Integrable Systems
A. V. Zotov
May 18, 2021 13:35, Moscow, online via Zoom

May 11, 2021 (Tue)
10. Lecture 12. Introduction to Integrable Systems
A. V. Zotov
May 11, 2021 13:35, Moscow, online via Zoom

April 27, 2021 (Tue)
11. Lecture 11. Introduction to Integrable Systems
A. V. Zotov
April 27, 2021 13:35, Moscow, online via Zoom

April 20, 2021 (Tue)
12. Lecture 10. Introduction to Integrable Systems
A. V. Zotov
April 20, 2021 13:35, Moscow, online via Zoom

April 13, 2021 (Tue)
13. Lecture 9. Introduction to Integrable Systems
A. V. Zotov
April 13, 2021 13:35, Moscow, online via Zoom

April 6, 2021 (Tue)
14. Lecture 8. Introduction to Integrable Systems
A. V. Zotov
April 6, 2021 13:35, Moscow, online via Zoom

March 30, 2021 (Tue)
15. Lecture 7. Introduction to Integrable Systems
A. V. Zotov
March 30, 2021 13:35, Moscow, online via Zoom

March 23, 2021 (Tue)
16. Lecture 6. Introduction to Integrable Systems
A. V. Zotov
March 23, 2021 13:35, Moscow, online via Zoom

March 16, 2021 (Tue)
17. Lecture 5. Introduction to Integrable Systems
A. V. Zotov
March 16, 2021 13:35, Moscow, online via Zoom

March 9, 2021 (Tue)
18. Lecture 4. Introduction to Integrable Systems
A. V. Zotov
March 9, 2021 13:35, Moscow, online via Zoom

March 2, 2021 (Tue)
19. Lecture 3. Introduction to Integrable Systems
A. V. Zotov
March 2, 2021 13:35, Moscow, online via Zoom

February 16, 2021 (Tue)
20. Lecture 2. Introduction to Integrable Systems
A. V. Zotov
February 16, 2021 13:35, Moscow, online via Zoom

February 9, 2021 (Tue)
21. Lecture 1. Introduction to Integrable Systems
A. V. Zotov
February 9, 2021 13:35, Moscow, online via Zoom
 
Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021