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Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
February 9–May 18, 2021, online via Zoom

The lecture course is based on the statement by Fomin, Kirillov and Polishchuk that elliptic quantum R-matrix satisfies the quadratic relation called the associative Yang-Baxter equation. In the simplest scalar case it is reduced to the addition formula for theta function (Riemann identities). An introduction to the theory of elliptic functions and identities will be made. Next, we extend the identities to the non-commutative analogues, where the scalar functions are replaced by R-matrices. Applications to integrable systems will be given as well.

To connect via Zoom:
Zoom link
Zoom meeting ID: 973 8084 6137
password: 125860

Financial support. The course is supported by the Simons Foundation and 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

Lecturer
Zotov Andrei Vladimirovich

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center


Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures", February 9–May 18, 2021

May 18, 2021 (Tue)
1. Lecture 13. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
May 18, 2021 16:00, online via Zoom
A. V. Zotov
  

May 11, 2021 (Tue)
2. Lecture 12. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
May 11, 2021 16:00, online via Zoom
A. V. Zotov
  

April 27, 2021 (Tue)
3. Lecture 11. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
April 27, 2021 16:00, online via Zoom
A. V. Zotov
  

April 20, 2021 (Tue)
4. Lecture 10. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
April 20, 2021 16:00, online via Zoom
A. V. Zotov
  

April 13, 2021 (Tue)
5. Lecture 9. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
April 13, 2021 16:00, online via Zoom
A. V. Zotov
  

April 6, 2021 (Tue)
6. Lecture 8. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
April 6, 2021 16:00, online via Zoom
A. V. Zotov
  

March 30, 2021 (Tue)
7. Lecture 7. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
March 30, 2021 16:00, online via Zoom
A. V. Zotov
  

March 16, 2021 (Tue)
8. Lecture 6. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
March 16, 2021 16:00, online via Zoom
A. V. Zotov
  

March 9, 2021 (Tue)
9. Lecture 5. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
March 9, 2021 16:00, online via Zoom
A. V. Zotov
  

March 2, 2021 (Tue)
10. Lecture 4. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
March 2, 2021 16:00, online via Zoom
A. V. Zotov
  

February 23, 2021 (Tue)
11. Lecture 3. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
February 23, 2021 16:00, online via Zoom
A. V. Zotov
  

February 16, 2021 (Tue)
12. Lecture 2. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
February 16, 2021 16:00, online via Zoom
A. V. Zotov
  

February 9, 2021 (Tue)
13. Lecture 1. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
February 9, 2021 16:00, online via Zoom
A. V. Zotov
  
 
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