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Seminar by I. D. Shkredov "Problems of additive combinatorics"
September 6–December 27, 2021, online via Zoom, Moscow

We kindly ask all participants, including remote ones and those
watching recorded videos, to register at https://forms.gle/Dkz4yno3euokXhF88.


Additive Combinatorics is a modern mathematical field between Number Theory and Combinatorics which uses intesevely methods from Harmonic Analysis, Graph Theory, Ergodic Theory, Probability Theory, Algebraic Geometry, Topology and Geometry of Numbers.

In our course we discuss modern and classical results in the area as well as with the connection of Additive Combinatorics with other mathematical fields.

The central theme of the first semester is the affine sieve of Bourgain–Gamburd–Sarnak. Also, if time permits, we will discuss an arithmetic version of Erdos–Hajnal conjecture.

In the second semester we will continue studying of applications of non-commutative methods to some problems of Additive Combinatorics. Also, we will discuss the connection between GCD-sums and the uniform distribution of sequences as well as with the additive energies.

Sujets de travaille:

  1. GCD-sums and its connection with uniform distribution of sequences (poissonian, disstribution of the minimal distance and so on) and additive energies. The connection with Dirichlet polynomials and zeta-functions.
  2. Additive and multiplicative Markov chains over F_p. Chung-Diaconis-Graham process. The connection with analytical methods, sum-products and Incidence Geometry.
  3. Erdos-Hajnal conjecture.
  4. Introduction to the determinant method.

Financial support. The seminar 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).


Lectures (.zip)

Program

RSS: Forthcoming seminars

Seminar organizer
Shkredov Ilya Dmitrievich

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


Seminar by I. D. Shkredov "Problems of additive combinatorics", Moscow, September 6–December 27, 2021

October 18, 2021 (Mon)
1. Seminar 48. Problems of additive combinatorics
I. D. Shkredov
October 18, 2021 18:00, Moscow, online via Zoom
  

October 11, 2021 (Mon)
2. Seminar 47. Problems of additive combinatorics
I. D. Shkredov
October 11, 2021 18:00, Moscow, online via Zoom
  

October 4, 2021 (Mon)
3. Seminar 46. Problems of additive combinatorics
I. D. Shkredov
October 4, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

September 27, 2021 (Mon)
4. Seminar 45. Problems of additive combinatorics
I. D. Shkredov
September 27, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

September 20, 2021 (Mon)
5. Seminar 44. Problems of additive combinatorics
I. D. Shkredov
September 20, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

September 13, 2021 (Mon)
6. Seminar 43. Problems of additive combinatorics
I. D. Shkredov
September 13, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

September 6, 2021 (Mon)
7. Seminar 42. Problems of additive combinatorics
I. D. Shkredov
September 6, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

May 24, 2021 (Mon)
8. Seminar 41. Problems of Additive Combinatorics
I. D. Shkredov
May 24, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

May 17, 2021 (Mon)
9. Seminar 40. Problems of Additive Combinatorics
I. D. Shkredov
May 17, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

May 3, 2021 (Mon)
10. Seminar 39. Problems of Additive Combinatorics
I. D. Shkredov
May 3, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

April 26, 2021 (Mon)
11. Seminar 38. Problems of Additive Combinatorics
I. D. Shkredov
April 26, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

April 19, 2021 (Mon)
12. Seminar 37. Problems of Additive Combinatorics
A. S. Semchankau, I. D. Shkredov
April 19, 2021 18:00, Moscow, online via Zoom
A. S. Semchankau, I. D. Shkredov
  

April 12, 2021 (Mon)
13. Seminar 36. Problems of Additive Combinatorics
A. S. Semchankau
April 12, 2021 18:00, Moscow, online via Zoom
A. S. Semchankau
  

April 5, 2021 (Mon)
14. Seminar 35. Problems of Additive Combinatorics
I. D. Shkredov
April 5, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

March 29, 2021 (Mon)
15. Seminar 34. Problems of Additive Combinatorics
March 29, 2021 18:00, Moscow, online via Zoom
  

March 22, 2021 (Mon)
16. Seminar 33. Problems of Additive Combinatorics
I. D. Shkredov
March 22, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

March 15, 2021 (Mon)
17. Seminar 32. Problems of Additive Combinatorics
I. D. Shkredov
March 15, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

March 1, 2021 (Mon)
18. Seminar 31. Problems of Additive Combinatorics
I. D. Shkredov
March 1, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

February 22, 2021 (Mon)
19. Seminar 30. Problems of Additive Combinatorics
I. D. Shkredov
February 22, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

February 15, 2021 (Mon)
20. Seminar 29. Problems of Additive Combinatorics
I. D. Shkredov
February 15, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

February 8, 2021 (Mon)
21. Seminar 28. Problems of Additive Combinatorics
I. D. Shkredov
February 8, 2021 18:00, Moscow, online via Zoom
I. D. Shkredov
  

December 14, 2020 (Mon)
22. Seminar 27. Problems of Additive Combinatorics
I. D. Shkredov
December 14, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

December 7, 2020 (Mon)
23. Seminar 26. Problems of Additive Combinatorics
I. D. Shkredov
December 7, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

November 30, 2020 (Mon)
24. Seminar 25. Problems of Additive Combinatorics
I. D. Shkredov
November 30, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

November 23, 2020 (Mon)
25. Seminar 24. Problems of Additive Combinatorics
I. D. Shkredov
November 23, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

November 16, 2020 (Mon)
26. Seminar 23. Problems of Additive Combinatorics
I. D. Shkredov
November 16, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

November 9, 2020 (Mon)
27. Seminar 22. Problems of Additive Combinatorics
I. D. Shkredov
November 9, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

November 2, 2020 (Mon)
28. Seminar 21. Problems of Additive Combinatorics
I. D. Shkredov
November 2, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

October 26, 2020 (Mon)
29. Seminar 20. Problems of Additive Combinatorics
I. D. Shkredov
October 26, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

October 19, 2020 (Mon)
30. Seminar 19. Problems of Additive Combinatorics
I. D. Shkredov
October 19, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

October 12, 2020 (Mon)
31. Seminar 18. Problems of Additive Combinatorics
N. V. Gorbatuk
October 12, 2020 18:00, Moscow, online via Zoom
N. V. Gorbatuk
  

October 5, 2020 (Mon)
32. Seminar 17. Problems of Additive Combinatorics
I. D. Shkredov
October 5, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

September 28, 2020 (Mon)
33. Seminar 16. Problems of Additive Combinatorics
I. D. Shkredov
September 28, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

September 21, 2020 (Mon)
34. Seminar 15. Problems of Additive Combinatorics
I. D. Shkredov
September 21, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

September 14, 2020 (Mon)
35. Семинар 14. Задачи аддитивной комбинаторики
I. D. Shkredov
September 14, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

September 7, 2020 (Mon)
36. Seminar 13. Problems of additive combinatorics
I. D. Shkredov
September 7, 2020 18:00, Moscow, online via Zoom
I. D. Shkredov
  

May 25, 2020 (Mon)
37. Семинар 12. Задачи аддитивной комбинаторики
I. D. Shkredov
May 25, 2020, Moscow, online
I. D. Shkredov
  

May 18, 2020 (Mon)
38. Семинар 11. Задачи аддитивной комбинаторики
I. D. Shkredov
May 18, 2020, Moscow, online
I. D. Shkredov
  

May 11, 2020 (Mon)
39. Семинар 10. Задачи аддитивной комбинаторики
I. D. Shkredov
May 11, 2020, Moscow, online
I. D. Shkredov
  

May 4, 2020 (Mon)
40. Семинар 9. Задачи аддитивной комбинаторики
I. D. Shkredov
May 4, 2020, Moscow, online
I. D. Shkredov
  

April 27, 2020 (Mon)
41. Семинар 8. Задачи аддитивной комбинаторики
I. D. Shkredov
April 27, 2020, Moscow, online
I. D. Shkredov
  

April 20, 2020 (Mon)
42. Семинар 7. Задачи аддитивной комбинаторики
I. D. Shkredov
April 20, 2020, Moscow, online
I. D. Shkredov
  

April 13, 2020 (Mon)
43. Семинар 6. Задачи аддитивной комбинаторики
I. D. Shkredov
April 13, 2020, Moscow, online
I. D. Shkredov
  

April 6, 2020 (Mon)
44. Семинар 5. Задачи аддитивной комбинаторики
I. D. Shkredov
April 6, 2020, Moscow, online
I. D. Shkredov
  

March 30, 2020 (Mon)
45. Семинар 4. Задачи аддитивной комбинаторики
I. D. Shkredov
March 30, 2020, Moscow, online
I. D. Shkredov
  

March 16, 2020 (Mon)
46. Семинар 3. Задачи аддитивной комбинаторики
I. D. Shkredov
March 16, 2020 18:00, Moscow, online via Zoom

March 2, 2020 (Mon)
47. Семинар 2. Задачи аддитивной комбинаторики
I. D. Shkredov
March 2, 2020 18:00, Moscow, online via Zoom

February 17, 2020 (Mon)
48. Семинар 1. Задачи аддитивной комбинаторики
I. D. Shkredov
February 17, 2020 18:00, Moscow, online via Zoom
 
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