Summer School "Contemporary Mathematics"

Lectures in English

Lecturer	Title
Yurii M. Burman	Cross-sections of the four-dimensional cube
George B. Shabat	Prime divisors of elements of come sequences
Ivan V. Arzhantsev	Closed and non-decomposable polynomials
Sabir M. Gusein - Zade	The problem of a picky bride
Vladimir Dotsenko	Enumeration of trees and residue invariance
Victor Kleptsyn	Sums of two squares
Alexander Bufetov	Fourier Transform
Arkadi B. Skopenkov	A simple definition of the Ricci curvature
Sergei Anisov	Paradoxes of voting and Arrow theorem
Alexey Sossinski	2-dimensional surfaces and configuration spaces of linkages
Gaiane Panina	On combinatorics of polytopes

Lectures in Russian (with translation)

Lecturer	Title
Vladimir Uspensky	Four ways to the Godel Incompletness Theorem
Vladimir Arnol'd	On the number of domains for arrangements of lines in the plane
Dmitry Anosov	Sharkovsky ordering
Nikolai Dolbilin	Minkovsky theorem on convex polytopes and its applications
Sergei Novikov	A new discrete model for complex analysis
Ivan Panin	Pythagorean triples
Alexander Kirillov	Geometry, analysis and arithmetic of fractals
Michel Balazard	Arithmetic progressions of prime numbers
Vladimir Tikhomirov	A brief course in mathematics
Sergei Anisov	Auctions
Ivan Yaschenko	Mathematics and cryptography
Alexander Razborov	Inverse problems of arithmetic combinatorics
Vladimir Arnol'd	Quadratic irrational numbers, their continued fractions and palindromes
Yuri M. Burman	Critical values of polynomials
Sabir M. Gusein-Zade	Is it possible to get lost in a forest?
Sergei Duzhin	Iterations of rational maps
Alexander R. Zilberman	Physical modelling, feedback connection and its practical applications.