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Course by G. B. Shabat "Dessins d'enfants and number theory"
September 6–December 6, 2021, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom

We kindly ask all participants, including remote ones and those
watching recorded videos, to register at https://forms.gle/tZgPpjFDFumq5vYJ7.


The theory of dessins d'enfants will be presented as a trilingual vocabulary (combinatorial topology, arithmetic geometry, finite transformation groups). We shall present a proof of the Belyi theorem, allowing to "draw" any curve over any number field. The relations with the theory of modular curves will be established as well as with various problems of number theory, including some generalized Fermat equations.

Просьба к участникам обращаться к Георгию Борисовичу Шабату, george.shabat@gmail.com, за данными для подключения к занятиям через Zoom.

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).

Lecturer
Shabat Georgii Borisovich

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


Course by G. B. Shabat "Dessins d'enfants and number theory", September 6–December 6, 2021

December 6, 2021 (Mon)
1. Lecture 14. Dessins d'enfants and number theory
G. B. Shabat
December 6, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom
G. B. Shabat
  

November 29, 2021 (Mon)
2. Lecture 13. Dessins d'enfants and number theory
G. B. Shabat
November 29, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom

November 22, 2021 (Mon)
3. Lecture 12. Dessins d'enfants and number theory
G. B. Shabat
November 22, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom
G. B. Shabat
  

November 15, 2021 (Mon)
4. Lecture 11. Dessins d'enfants and number theory
G. B. Shabat
November 15, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom
G. B. Shabat
  

November 8, 2021 (Mon)
5. Lecture 10. Dessins d'enfants and number theory
G. B. Shabat
November 8, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom
G. B. Shabat
  

November 1, 2021 (Mon)
6. Lecture 9. Dessins d'enfants and number theory
G. B. Shabat
November 1, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom
G. B. Shabat
  

October 25, 2021 (Mon)
7. Lecture 8. Dessins d'enfants and number theory
G. B. Shabat
October 25, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom
G. B. Shabat
  

October 18, 2021 (Mon)
8. Lecture 7. Dessins d'enfants and number theory
G. B. Shabat
October 18, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom
G. B. Shabat
  

October 11, 2021 (Mon)
9. Lecture 6. Dessins d'enfants and number theory
G. B. Shabat
October 11, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom

October 4, 2021 (Mon)
10. Lecture 5. Dessins d'enfants and number theory
G. B. Shabat
October 4, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom
G. B. Shabat
  

September 27, 2021 (Mon)
11. Lecture 4. Dessins d'enfants and number theory
G. B. Shabat
September 27, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom

September 20, 2021 (Mon)
12. Lecture 3. Dessins d'enfants and number theory
G. B. Shabat
September 20, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom
G. B. Shabat
  

September 13, 2021 (Mon)
13. Lecture 2. Dessins d'enfants and number theory
G. B. Shabat
September 13, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom
G. B. Shabat
  

September 6, 2021 (Mon)
14. Lecture 1. Dessins d'enfants and number theory
G. B. Shabat
September 6, 2021 18:00, Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom
G. B. Shabat
  
 
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