Seminar by I. D. Shkredov "Problems of additive combinatorics" September 6–December 20, 2021, online via Zoom, Moscow
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:
- 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.
- Additive and multiplicative Markov chains over F_p. Chung-Diaconis-Graham process. The connection with analytical methods, sum-products and Incidence Geometry.
- Erdos-Hajnal conjecture.
- 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
Seminar organizer
Shkredov Ilya Dmitrievich
Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow Steklov International Mathematical Center |
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Seminar by I. D. Shkredov "Problems of additive combinatorics", Moscow, September 6–December 20, 2021 |
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December 20, 2021 (Mon) |
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1. |
Seminar 57. Problems of additive combinatorics I. D. Shkredov December 20, 2021 18:00, Moscow, online via Zoom
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December 13, 2021 (Mon) |
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Seminar 56. Problems of additive combinatorics A. S. Semchankau December 13, 2021 18:00, Moscow, online via Zoom
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December 6, 2021 (Mon) |
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Seminar 55. Problems of additive combinatorics A. S. Semchankau December 6, 2021 18:00, Moscow, online via Zoom
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November 29, 2021 (Mon) |
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Seminar 54. Problems of additive combinatorics A. S. Semchankau November 29, 2021 18:00, Moscow, online via Zoom
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November 22, 2021 (Mon) |
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5. |
Seminar 53. Problems of additive combinatorics I. D. Shkredov November 22, 2021 18:00, Moscow, online via Zoom
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November 15, 2021 (Mon) |
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6. |
Seminar 52. Problems of additive combinatorics I. D. Shkredov November 15, 2021 18:00, Moscow, online via Zoom
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November 8, 2021 (Mon) |
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7. |
Seminar 51. Problems of additive combinatorics I. D. Shkredov November 8, 2021 18:00, Moscow, online via Zoom
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November 1, 2021 (Mon) |
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8. |
Seminar 50. Problems of additive combinatorics I. D. Shkredov November 1, 2021 18:00, Moscow, online via Zoom
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October 25, 2021 (Mon) |
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9. |
Seminar 49. Problems of additive combinatorics I. D. Shkredov October 25, 2021 18:00, Moscow, online via Zoom
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October 18, 2021 (Mon) |
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10. |
Seminar 48. Problems of additive combinatorics I. D. Shkredov October 18, 2021 18:00, Moscow, online via Zoom
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October 11, 2021 (Mon) |
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11. |
Seminar 47. Problems of additive combinatorics I. D. Shkredov October 11, 2021 18:00, Moscow, online via Zoom
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October 4, 2021 (Mon) |
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12. |
Seminar 46. Problems of additive combinatorics I. D. Shkredov October 4, 2021 18:00, Moscow, online via Zoom
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September 27, 2021 (Mon) |
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13. |
Seminar 45. Problems of additive combinatorics I. D. Shkredov September 27, 2021 18:00, Moscow, online via Zoom
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September 20, 2021 (Mon) |
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14. |
Seminar 44. Problems of additive combinatorics I. D. Shkredov September 20, 2021 18:00, Moscow, online via Zoom
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September 13, 2021 (Mon) |
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15. |
Seminar 43. Problems of additive combinatorics I. D. Shkredov September 13, 2021 18:00, Moscow, online via Zoom
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September 6, 2021 (Mon) |
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16. |
Seminar 42. Problems of additive combinatorics I. D. Shkredov September 6, 2021 18:00, Moscow, online via Zoom
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May 24, 2021 (Mon) |
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17. |
Seminar 41. Problems of Additive Combinatorics I. D. Shkredov May 24, 2021 18:00, Moscow, online via Zoom
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May 17, 2021 (Mon) |
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18. |
Seminar 40. Problems of Additive Combinatorics I. D. Shkredov May 17, 2021 18:00, Moscow, online via Zoom
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May 3, 2021 (Mon) |
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19. |
Seminar 39. Problems of Additive Combinatorics I. D. Shkredov May 3, 2021 18:00, Moscow, online via Zoom
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April 26, 2021 (Mon) |
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20. |
Seminar 38. Problems of Additive Combinatorics I. D. Shkredov April 26, 2021 18:00, Moscow, online via Zoom
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April 19, 2021 (Mon) |
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21. |
Seminar 37. Problems of Additive Combinatorics A. S. Semchankau, I. D. Shkredov April 19, 2021 18:00, Moscow, online via Zoom
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April 12, 2021 (Mon) |
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22. |
Seminar 36. Problems of Additive Combinatorics A. S. Semchankau April 12, 2021 18:00, Moscow, online via Zoom
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April 5, 2021 (Mon) |
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23. |
Seminar 35. Problems of Additive Combinatorics I. D. Shkredov April 5, 2021 18:00, Moscow, online via Zoom
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March 29, 2021 (Mon) |
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24. |
Seminar 34. Problems of Additive Combinatorics March 29, 2021 18:00, Moscow, online via Zoom
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March 22, 2021 (Mon) |
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25. |
Seminar 33. Problems of Additive Combinatorics I. D. Shkredov March 22, 2021 18:00, Moscow, online via Zoom
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March 15, 2021 (Mon) |
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26. |
Seminar 32. Problems of Additive Combinatorics I. D. Shkredov March 15, 2021 18:00, Moscow, online via Zoom
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March 1, 2021 (Mon) |
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27. |
Seminar 31. Problems of Additive Combinatorics I. D. Shkredov March 1, 2021 18:00, Moscow, online via Zoom
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February 22, 2021 (Mon) |
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28. |
Seminar 30. Problems of Additive Combinatorics I. D. Shkredov February 22, 2021 18:00, Moscow, online via Zoom
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February 15, 2021 (Mon) |
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29. |
Seminar 29. Problems of Additive Combinatorics I. D. Shkredov February 15, 2021 18:00, Moscow, online via Zoom
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February 8, 2021 (Mon) |
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30. |
Seminar 28. Problems of Additive Combinatorics I. D. Shkredov February 8, 2021 18:00, Moscow, online via Zoom
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December 14, 2020 (Mon) |
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31. |
Seminar 27. Problems of Additive Combinatorics I. D. Shkredov December 14, 2020 18:00, Moscow, online via Zoom
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December 7, 2020 (Mon) |
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32. |
Seminar 26. Problems of Additive Combinatorics I. D. Shkredov December 7, 2020 18:00, Moscow, online via Zoom
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November 30, 2020 (Mon) |
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33. |
Seminar 25. Problems of Additive Combinatorics I. D. Shkredov November 30, 2020 18:00, Moscow, online via Zoom
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November 23, 2020 (Mon) |
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34. |
Seminar 24. Problems of Additive Combinatorics I. D. Shkredov November 23, 2020 18:00, Moscow, online via Zoom
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November 16, 2020 (Mon) |
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35. |
Seminar 23. Problems of Additive Combinatorics I. D. Shkredov November 16, 2020 18:00, Moscow, online via Zoom
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November 9, 2020 (Mon) |
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36. |
Seminar 22. Problems of Additive Combinatorics I. D. Shkredov November 9, 2020 18:00, Moscow, online via Zoom
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November 2, 2020 (Mon) |
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37. |
Seminar 21. Problems of Additive Combinatorics I. D. Shkredov November 2, 2020 18:00, Moscow, online via Zoom
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October 26, 2020 (Mon) |
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38. |
Seminar 20. Problems of Additive Combinatorics I. D. Shkredov October 26, 2020 18:00, Moscow, online via Zoom
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October 19, 2020 (Mon) |
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39. |
Seminar 19. Problems of Additive Combinatorics I. D. Shkredov October 19, 2020 18:00, Moscow, online via Zoom
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October 12, 2020 (Mon) |
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40. |
Seminar 18. Problems of Additive Combinatorics N. V. Gorbatuk October 12, 2020 18:00, Moscow, online via Zoom
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October 5, 2020 (Mon) |
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41. |
Seminar 17. Problems of Additive Combinatorics I. D. Shkredov October 5, 2020 18:00, Moscow, online via Zoom
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September 28, 2020 (Mon) |
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42. |
Seminar 16. Problems of Additive Combinatorics I. D. Shkredov September 28, 2020 18:00, Moscow, online via Zoom
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September 21, 2020 (Mon) |
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43. |
Seminar 15. Problems of Additive Combinatorics I. D. Shkredov September 21, 2020 18:00, Moscow, online via Zoom
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September 14, 2020 (Mon) |
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44. |
Семинар 14. Задачи аддитивной комбинаторики I. D. Shkredov September 14, 2020 18:00, Moscow, online via Zoom
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September 7, 2020 (Mon) |
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45. |
Seminar 13. Problems of additive combinatorics I. D. Shkredov September 7, 2020 18:00, Moscow, online via Zoom
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May 25, 2020 (Mon) |
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46. |
Семинар 12. Задачи аддитивной комбинаторики I. D. Shkredov May 25, 2020, Moscow, online
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May 18, 2020 (Mon) |
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47. |
Семинар 11. Задачи аддитивной комбинаторики I. D. Shkredov May 18, 2020, Moscow, online
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May 11, 2020 (Mon) |
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48. |
Семинар 10. Задачи аддитивной комбинаторики I. D. Shkredov May 11, 2020, Moscow, online
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May 4, 2020 (Mon) |
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49. |
Семинар 9. Задачи аддитивной комбинаторики I. D. Shkredov May 4, 2020, Moscow, online
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April 27, 2020 (Mon) |
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50. |
Семинар 8. Задачи аддитивной комбинаторики I. D. Shkredov April 27, 2020, Moscow, online
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April 20, 2020 (Mon) |
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51. |
Семинар 7. Задачи аддитивной комбинаторики I. D. Shkredov April 20, 2020, Moscow, online
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April 13, 2020 (Mon) |
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52. |
Семинар 6. Задачи аддитивной комбинаторики I. D. Shkredov April 13, 2020, Moscow, online
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April 6, 2020 (Mon) |
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53. |
Семинар 5. Задачи аддитивной комбинаторики I. D. Shkredov April 6, 2020, Moscow, online
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March 30, 2020 (Mon) |
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54. |
Семинар 4. Задачи аддитивной комбинаторики I. D. Shkredov March 30, 2020, Moscow, online
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March 16, 2020 (Mon) |
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55. |
Семинар 3. Задачи аддитивной комбинаторики I. D. Shkredov March 16, 2020 18:00, Moscow, online via Zoom
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March 2, 2020 (Mon) |
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56. |
Семинар 2. Задачи аддитивной комбинаторики I. D. Shkredov March 2, 2020 18:00, Moscow, online via Zoom
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February 17, 2020 (Mon) |
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57. |
Семинар 1. Задачи аддитивной комбинаторики I. D. Shkredov February 17, 2020 18:00, Moscow, online via Zoom
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