A joint meeting with the General Mathematics Seminar of PDMI R. Grigorchuk (MI RAS; A&M Univ.) Amenability, self-similar groups, and the Muenchhauzen trick.

Speakers: V. Tikhomiriv, A. Vershik, A. Khovanskii, V.D. Arnold, V. Ryzhik. Some video has been shown.

V. Ryzhikov (Moscow). V.A.Rokhlin's problem on multiple mixing and related problems in ergodic theory.

N. A. Vavilov. Higher composition laws and exceptonal groups.

M. Bashmakov (right photo) and S. Vostokov spoke about J. Tate's works.

A joint work with A. Louis, M. Riplinger, and M. Spiess.

A.Vershik's opinion

N.G.Kuznetsov. V.A.Steklov: mathematician, school founder, vice-president of the Academy, sitizen.

A.K. Stavrova. Jordan algebras, Lie algebras, and algebraic groups.

V.V. Vysotsky. Conglutinating particles, limit theorems, and delicate properties of random walks.

A number of speakers (university professors, school teachers, prominent Moscow educational officers) have discussed the problems in the current dramatical situation in mathematical education of high school level related to the introduction of the EGE. A resolution has been adopted.
See the Russian version for more detail.

S. I. Pokhozhaev (Moscow). Crifical non-linearities of PDE. Texts: presentation; paper

A. Yu. Luzgarev. Polylinear forms and exceptional groups

Meeting dedicated to the 50th anniversary of the renaiscance of the St. Petersburg Mathematical Society

V. A. Kaimanovich (Bremen). On the Nielsen-Schreier method and ergodic properties of the boundary action.

A demonsration was presented by the aithors of the film, Agnes Handwerk and Harrie Willems, and commented by the specialists B.Lifshits and A.Borodin. Wolfgang Doeblin, one of the great probabilists of the 20th century, was already widely known in the 1950s for his fundamental contributions to the theory of Markov chains. His coupling method became a key tool in later developments at the interface of probability and statistical mechanics. But the full measure of his mathematical stature became apparent only in 2000 when the sealed envelope containing his construction of diffusion processes in terms of a time change of Brownian motion was finally opened, 60 years after it was sent to the Academy of Sciences in Paris. The film of Agnes Handwerk and Harrie Willems documents scientific and human aspects of this amazing discovery and throws new light on the startling circumstances of his death at the age of 25. Wolfgang Doeblin Video

B. S. Pavlov (St. Petersburg - Auckland). Spectral duality and Smilansky conjecture for the inner and the outer Neumann Laplaceans in R3.

O. V. Schwarzman (Moscow). Chavalley type theorems for groups of complex reflections.

Reports by President A.Vershik and Treasurer B.Lurie, the Auditing Commission chairman A.Zaitsev, the "Proceedings" Editor N.Uraltseva, the School Commission (V.A.Ryzhik) have been presented. New bodies of the Society have been elected.

S. Duzhin. Gusarov's theorem. Lecture dedicated to the 50th anniversary of M.Gusarov (1958-1999) Video

N. N. Moshchevitin (Moscow). Geometry of Diophantine approximations.

The topic of the talk was the «Mathematical Etudes» project.

Konstantin Pervyshev. Time hierarchies for heuristic algorithms.

Victor Petrov. Motives of homogenious projective varieties.

A memorial meeting dedicated to the Academician Vladimir Smirnov (on the occasion of his 120th anniversary). Speakers: A. Nazarov, A. Vershik, V. Babich, V. Khavin, N. Uraltseva, G. Matvievskaya (Orenburg). The messages of absent V. Zalgaller and M. Birman have been presented. A decision to award V. A. Petrov and K. V. Pervyshev the Society "Young Mathematician Prize" for 2007 has been adopted.

T. Panov (Moscow). Toric topology.

N. N. Petrov. Quantum mechanics and neurophysiology. In search of a unified theory.

A. M. Raigorodskii (Moscow). On the Borsuk problem.

Speakers: G. Mikhailov (Moscow), S. Vostokov (St. Petersburg), M. Mattmueller (Basel), N. Vavilov (St. Petersburg), E. Katz (Israel).
Speakers' photos (to see enlarged pictures, click on the images):

A new film about L. Euler has been presented.
More video from the Euler Festival.

N. Durov. Arithmetic intersection theory and homotopical algebra .

O. Tarakanov. Weak shadowing for omega-stable diffeomorphisms.

A. Generalov. Cohomology of finite-dimensional algebras: new methods and results.

D. Treshchev (Moscow). Arnold diffusion: the state of the art.

Meeting dedicated to the 150th anniversary of A. A. Markov sr. (1856 -- 1922) Speakers: I. Ibragimov, E. Golubeva, I. Videnskii, N. Ermolaeva, L. Brylevskaya. Video Video Video Video The Society "Young Mathematician" Prize for 2006 has been awarded to Nikolai Durov for his work "A method of calculation of the Galois group for a polynomial with rational coefficients".

Richard Bellmann coined the phrase "the curse of dimensionality" to describe the extraordinarily rapid increase in the difficulty of most problems as the number of variables increases. A typical problem is numerical multiple integration, where the cost of any integration formula of product type obviously rises exponentially with the number of variables. Nevertheless, problems with hundreds or even thousands of variables do arise, and are now being tackled successfully. In this talk I will describe recent strategies, mathematical settings, and constructions with which suitable integration problems (from mathematical finance, for example) are being successfully handled.

I. M. Sonin (Charlotte, USA). A decomposition-separation theorem for Markov chains.

O. K. Sheinman (Moscow). Krichever--Novikov algebras, their representations and applications to geometry and mathematical physics.

V. L. Popov (Moscow). 13th Hilbert problem and algebraic groups.

Meeting dedicated to the 100th anniversary of Isidor P. Natanson (1906 -- 1964). Speakers: B. Makarov, V. Malozemov, V. Sudakov, A. Vershik, V. Videnskii, V. Zhuk.

Meeting dedicated to the 100th anniversary of the founder of the Leningrad geometric function theory school Gennady M. Goluzin (1906 -- 1952) 1. G. V. Kuz'mina. G. M. Goluzin and geometric function theory. 2. V. P. Havin. On the interpolation Goluzin-Krylov formula.