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Summer School "Contemporary Mathematics", 2011
(July 18–29, 2011, Dubna)

Summer School "Contemporary Mathematics", 2011

Since 2001, the Russian Academy of Sciences (Department of mathematical sciences), the Steklov Mathematical Institute, the Moscow Depatment for Education and the Moscow Center for Continuous Mathematical Education organize a summer school, unique in its choice of professors and participants.

During two weeks around a hundred students of high-school or from the first two years of university take part in 70–80 lectures and seminars.

Website: http://www.mccme.ru/dubna/2011/program.htm

Chair of the scientific committee
Sosinskii Aleksei Bronislavovich

Organisations
Branch of Mathematical Sciences, Russian Academy of Sciences
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Moscow Center for Continuous Mathematical Education
Department of education, Moscow city


Summer School "Contemporary Mathematics", 2011, Dubna, July 18–29, 2011

July 19, 2011
1. Orthogonal polynomials. Lecture 1
A. I. Bufetov, S. M. Mkrtchian
July 19, 2011 09:30, Dubna
A. I. Bufetov, S. M. Mkrtchian
  
2. Integers as a geometric object. Lecture 1
M. A. Tsfasman
July 19, 2011 11:45, Dubna
M. A. Tsfasman
  
3. The solution of Arnold's problem on Gauss–Kuz'min statistics for finite continued fractions. Lecture 1
A. V. Ustinov
July 19, 2011 15:30, Dubna
A. V. Ustinov
  
4. Classical non-classical logics and standard non-standard models. Lecture 1
M. A. Raskin
July 19, 2011 17:00, Dubna
M. A. Raskin
  

July 20, 2011
5. Homology, sets of planes and inclusion-exclusion formula. Lecture 1
V. A. Vassiliev
July 20, 2011 09:30, Dubna
V. A. Vassiliev
  
6. The solution of Arnold's problem on Gauss–Kuz'min statistics for finite continued fractions. Lecture 2
A. V. Ustinov
July 20, 2011 11:15, Dubna
A. V. Ustinov
  
7. Integers as a geometric object. Lecture 2
M. A. Tsfasman
July 20, 2011 15:30, Dubna
M. A. Tsfasman
  
8. Elliptic and modular functions. Lecture 1
V. A. Kleptsyn
July 20, 2011 17:00, Dubna
V. A. Kleptsyn
  

July 21, 2011
9. The solution of Arnold's problem on Gauss–Kuz'min statistics for finite continued fractions. Lecture 3
A. V. Ustinov
July 21, 2011 09:30, Dubna
A. V. Ustinov
  
10. Orthogonal polynomials. Lecture 2
A. I. Bufetov, S. M. Mkrtchian
July 21, 2011 11:15, Dubna
A. I. Bufetov, S. M. Mkrtchian
  
11. Classical non-classical logics and standard non-standard models. Lecture 2
M. A. Raskin
July 21, 2011 15:30, Dubna
M. A. Raskin
  
12. Zeta function: From Euler to the Birch and Swinnerton-Dyer conjecture. Lecture 1
R. M. Fedorov
July 21, 2011 17:00, Dubna
R. M. Fedorov
  

July 22, 2011
13. Is it true that for all flat triangles sum of the angles do not equal 180 degrees?
V. M. Tikhomirov
July 22, 2011 09:30, Dubna
V. M. Tikhomirov
  
14. Homology, sets of planes and inclusion-exclusion formula. Lecture 2
V. A. Vassiliev
July 22, 2011 11:15, Dubna
V. A. Vassiliev
  
15. Hilbert's tenth problem: what can and can not do with Diophantine equations. Lecture 1
Yu. V. Matiyasevich
July 22, 2011 12:45, Dubna
Yu. V. Matiyasevich
  
16. Elliptic and modular functions. Lecture 2
V. A. Kleptsyn
July 22, 2011 15:30, Dubna
V. A. Kleptsyn
  
17. The solution of Arnold's problem on Gauss–Kuz'min statistics for finite continued fractions. Lecture 4
A. V. Ustinov
July 22, 2011 17:00, Dubna
A. V. Ustinov
  

July 23, 2011
18. Computational complexity theory. Lecture 1
A. A. Razborov
July 23, 2011 09:30, Dubna
A. A. Razborov
  
19. Modal logics
A. L. Semenov
July 23, 2011 12:45, Dubna
A. L. Semenov
  
20. Classical non-classical logics and standard non-standard models. Lecture 3
M. A. Raskin
July 23, 2011 17:00, Dubna
M. A. Raskin
  
21. The geometry of complex numbers, quaternions and the Hurwitz formula. Lecture 2
V. A. Timorin
July 23, 2011 17:00, Dubna
V. A. Timorin
  

July 24, 2011
22. How to glue the polygons
S. K. Lando
July 24, 2011 09:30, Dubna
S. K. Lando
  
23. Elliptic and modular functions. Lecture 3
V. A. Kleptsyn
July 24, 2011 11:15, Dubna
V. A. Kleptsyn
  
24. Computational complexity theory. Lecture 2
A. A. Razborov
July 24, 2011 12:45, Dubna
A. A. Razborov
  
25. Homology, sets of planes and inclusion-exclusion formula. Lecture 3
V. A. Vassiliev
July 24, 2011 15:30, Dubna
V. A. Vassiliev
  
26. Hilbert's tenth problem: what can and can not do with Diophantine equations. Lecture 2
Yu. V. Matiyasevich
July 24, 2011 17:00, Dubna
Yu. V. Matiyasevich
  
27. Pretheory of instantons. Lecture 1
N. A. Tyurin
July 24, 2011 17:00, Dubna
N. A. Tyurin
  

July 25, 2011
28. Classical non-classical logics and standard non-standard models. Lecture 4
M. A. Raskin
July 25, 2011 09:30, Dubna
M. A. Raskin
  
29. The geometry of complex numbers, quaternions and the Hurwitz formula. Lecture 3
V. A. Timorin
July 25, 2011 09:30, Dubna
V. A. Timorin
  
30. Real algebraic geometry on V. I. Arnold. Lecture 1
Yu. S. Ilyashenko
July 25, 2011 11:15, Dubna
Yu. S. Ilyashenko
  
31. Computational complexity theory. Lecture 3
A. A. Razborov
July 25, 2011 12:45, Dubna
A. A. Razborov
  
32. Zeta function: From Euler to the Birch and Swinnerton-Dyer conjecture. Lecture 3
R. M. Fedorov
July 25, 2011 15:30, Dubna
R. M. Fedorov
  
33. Hilbert's tenth problem: what can and can not do with Diophantine equations. Lecture 3
Yu. V. Matiyasevich
July 25, 2011 17:00, Dubna
Yu. V. Matiyasevich
  
34. Pretheory of instantons. Lecture 2
N. A. Tyurin
July 25, 2011 17:00, Dubna
N. A. Tyurin
  

July 26, 2011
35. Elliptic and modular functions. Lecture 4
V. A. Kleptsyn
July 26, 2011 09:30, Dubna
V. A. Kleptsyn
  
36. Real algebraic geometry on V. I. Arnold. Lecture 2
Yu. S. Ilyashenko
July 26, 2011 11:15, Dubna
Yu. S. Ilyashenko
  
37. Maps and singularities. Lecture 1
M. E. Kazarian
July 26, 2011 15:30, Dubna
M. E. Kazarian
  
38. Moduli spaces of curves and Gromov-Witten invariants. Lecture 1
A. G. Kuznetsov
July 26, 2011 15:30, Dubna
A. G. Kuznetsov
  
39. Homology, sets of planes and inclusion-exclusion formula. Lecture 4
V. A. Vassiliev
July 26, 2011 17:00, Dubna
V. A. Vassiliev
  
40. The geometry of complex numbers, quaternions and the Hurwitz formula. Lecture 4
V. A. Timorin
July 26, 2011 20:00, Dubna
V. A. Timorin
  

July 27, 2011
41. Maps and singularities. Lecture 2
M. E. Kazarian
July 27, 2011 09:30, Dubna
M. E. Kazarian
  
42. Moduli spaces of curves and Gromov-Witten invariants. Lecture 2
A. G. Kuznetsov
July 27, 2011 09:30, Dubna
A. G. Kuznetsov
  
43. Real algebraic geometry on V. I. Arnold. Lecture 3
Yu. S. Ilyashenko
July 27, 2011 11:15, Dubna
Yu. S. Ilyashenko
  
44. Milnor conjecture. Lecture 2
D. O. Orlov
July 27, 2011 11:15, Dubna
D. O. Orlov
  
45. Orthogonal polynomials. Lecture 3
A. I. Bufetov, S. M. Mkrtchian
July 27, 2011 15:30, Dubna
A. I. Bufetov, S. M. Mkrtchian
  
46. Hilbert's tenth problem: what can and can not do with Diophantine equations. Lecture 4
Yu. V. Matiyasevich
July 27, 2011 17:00, Dubna
Yu. V. Matiyasevich
  
47. Pretheory of instantons. Lecture 3
N. A. Tyurin
July 27, 2011 17:00, Dubna
N. A. Tyurin
  

July 28, 2011
48. Zeta function: From Euler to the Birch and Swinnerton-Dyer conjecture. Lecture 4
R. M. Fedorov
July 28, 2011 09:30, Dubna
R. M. Fedorov
  
49. Hilbert's tenth problem: what can and can not do with Diophantine equations. Lecture 5
Yu. V. Matiyasevich
July 28, 2011 11:15, Dubna
Yu. V. Matiyasevich
  
50. Orthogonal polynomials. Lecture 4
A. I. Bufetov, S. M. Mkrtchian
July 28, 2011 12:45, Dubna
A. I. Bufetov, S. M. Mkrtchian
  
51. Random graphs and Internet
A. M. Raigorodskii
July 28, 2011 12:45, Dubna
A. M. Raigorodskii
  
52. Maps and singularities. Lecture 3
M. E. Kazarian
July 28, 2011 15:30, Dubna
M. E. Kazarian
  
53. Moduli spaces of curves and Gromov-Witten invariants. Lecture 3
A. G. Kuznetsov
July 28, 2011 15:30, Dubna
A. G. Kuznetsov
  
54. Pretheory of instantons. Lecture 4
N. A. Tyurin
July 28, 2011 17:00, Dubna
N. A. Tyurin
  
55. Homology, sets of planes and inclusion-exclusion formula. Lecture 5
V. A. Vassiliev
July 28, 2011 17:00, Dubna
V. A. Vassiliev
  
 
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