Summer School "Contemporary Mathematics", 2011

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

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:

https://www.mccme.ru/dubna/2011/program.htm

Chair of the scientific committee
Sosinskii Aleksei Bronislavovich

Institutions
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 (Tue)*

1.	Orthogonal polynomials. Lecture 1 A. I. Bufetov, S. M. Mkrtchian July 19, 2011 09:30, Dubna


2.	Integers as a geometric object. Lecture 1 M. A. Tsfasman July 19, 2011 11:45, Dubna


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


4.	Classical non-classical logics and standard non-standard models. Lecture 1 M. A. Raskin July 19, 2011 17:00, Dubna


	*July 20, 2011 (Wed)*

5.	Homology, sets of planes and inclusion-exclusion formula. Lecture 1 V. A. Vassiliev July 20, 2011 09:30, Dubna


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


7.	Integers as a geometric object. Lecture 2 M. A. Tsfasman July 20, 2011 15:30, Dubna


8.	Elliptic and modular functions. Lecture 1 V. A. Kleptsyn July 20, 2011 17:00, Dubna


	*July 21, 2011 (Thu)*

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


10.	Orthogonal polynomials. Lecture 2 A. I. Bufetov, S. M. Mkrtchian July 21, 2011 11:15, Dubna


11.	Classical non-classical logics and standard non-standard models. Lecture 2 M. A. Raskin July 21, 2011 15:30, Dubna


12.	Zeta function: From Euler to the Birch and Swinnerton-Dyer conjecture. Lecture 1 R. M. Fedorov July 21, 2011 17:00, Dubna


	*July 22, 2011 (Fri)*

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


14.	Homology, sets of planes and inclusion-exclusion formula. Lecture 2 V. A. Vassiliev July 22, 2011 11:15, Dubna


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


16.	Elliptic and modular functions. Lecture 2 V. A. Kleptsyn July 22, 2011 15:30, Dubna


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


	*July 23, 2011 (Sat)*

18.	Computational complexity theory. Lecture 1 A. A. Razborov July 23, 2011 09:30, Dubna


19.	Modal logics A. L. Semenov July 23, 2011 12:45, Dubna


20.	Classical non-classical logics and standard non-standard models. Lecture 3 M. A. Raskin July 23, 2011 17:00, Dubna


21.	The geometry of complex numbers, quaternions and the Hurwitz formula. Lecture 2 V. A. Timorin July 23, 2011 17:00, Dubna


	*July 24, 2011 (Sun)*

22.	How to glue the polygons S. K. Lando July 24, 2011 09:30, Dubna


23.	Elliptic and modular functions. Lecture 3 V. A. Kleptsyn July 24, 2011 11:15, Dubna


24.	Computational complexity theory. Lecture 2 A. A. Razborov July 24, 2011 12:45, Dubna


25.	Homology, sets of planes and inclusion-exclusion formula. Lecture 3 V. A. Vassiliev July 24, 2011 15:30, Dubna


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


27.	Pretheory of instantons. Lecture 1 N. A. Tyurin July 24, 2011 17:00, Dubna


	*July 25, 2011 (Mon)*

28.	Classical non-classical logics and standard non-standard models. Lecture 4 M. A. Raskin July 25, 2011 09:30, Dubna


29.	The geometry of complex numbers, quaternions and the Hurwitz formula. Lecture 3 V. A. Timorin July 25, 2011 09:30, Dubna


30.	Real algebraic geometry on V. I. Arnold. Lecture 1 Yu. S. Ilyashenko July 25, 2011 11:15, Dubna


31.	Computational complexity theory. Lecture 3 A. A. Razborov July 25, 2011 12:45, Dubna


32.	Zeta function: From Euler to the Birch and Swinnerton-Dyer conjecture. Lecture 3 R. M. Fedorov July 25, 2011 15:30, Dubna


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


34.	Pretheory of instantons. Lecture 2 N. A. Tyurin July 25, 2011 17:00, Dubna


	*July 26, 2011 (Tue)*

35.	Elliptic and modular functions. Lecture 4 V. A. Kleptsyn July 26, 2011 09:30, Dubna


36.	Real algebraic geometry on V. I. Arnold. Lecture 2 Yu. S. Ilyashenko July 26, 2011 11:15, Dubna


37.	Maps and singularities. Lecture 1 M. E. Kazarian July 26, 2011 15:30, Dubna


38.	Moduli spaces of curves and Gromov-Witten invariants. Lecture 1 A. G. Kuznetsov July 26, 2011 15:30, Dubna


39.	Homology, sets of planes and inclusion-exclusion formula. Lecture 4 V. A. Vassiliev July 26, 2011 17:00, Dubna


40.	The geometry of complex numbers, quaternions and the Hurwitz formula. Lecture 4 V. A. Timorin July 26, 2011 20:00, Dubna


	*July 27, 2011 (Wed)*

41.	Maps and singularities. Lecture 2 M. E. Kazarian July 27, 2011 09:30, Dubna


42.	Moduli spaces of curves and Gromov-Witten invariants. Lecture 2 A. G. Kuznetsov July 27, 2011 09:30, Dubna


43.	Real algebraic geometry on V. I. Arnold. Lecture 3 Yu. S. Ilyashenko July 27, 2011 11:15, Dubna


44.	Milnor conjecture. Lecture 2 D. O. Orlov July 27, 2011 11:15, Dubna


45.	Orthogonal polynomials. Lecture 3 A. I. Bufetov, S. M. Mkrtchian July 27, 2011 15:30, Dubna


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


47.	Pretheory of instantons. Lecture 3 N. A. Tyurin July 27, 2011 17:00, Dubna


	*July 28, 2011 (Thu)*

48.	Zeta function: From Euler to the Birch and Swinnerton-Dyer conjecture. Lecture 4 R. M. Fedorov July 28, 2011 09:30, Dubna


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


50.	Orthogonal polynomials. Lecture 4 A. I. Bufetov, S. M. Mkrtchian July 28, 2011 12:45, Dubna


51.	Random graphs and Internet A. M. Raigorodskii July 28, 2011 12:45, Dubna


52.	Maps and singularities. Lecture 3 M. E. Kazarian July 28, 2011 15:30, Dubna


53.	Moduli spaces of curves and Gromov-Witten invariants. Lecture 3 A. G. Kuznetsov July 28, 2011 15:30, Dubna


54.	Pretheory of instantons. Lecture 4 N. A. Tyurin July 28, 2011 17:00, Dubna


55.	Homology, sets of planes and inclusion-exclusion formula. Lecture 5 V. A. Vassiliev July 28, 2011 17:00, Dubna

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