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June 20, Friday

45-minute Talks (Auditorium 6-11)

14:00–14:45 M. I. Vishik Global attractor for nonatonomous

2D Navier–Stokes system with

rapidly oscillating forcing term

14:50–15:35 S. B. Kuksin Ergodic theorems in 2D statistical

hydrodynamics

20-minute Talks (Auditorium 6-11)

16:00–16:20 S. I. Chernyshenko Organized structures in the near-wall

turbulence and generalized optimal

perturbations

16:20–16:40 A. N. Golubiatnikov On a phenomenological model of

turbulent ?ows

16:40–17:00 V. N. Grebenev Invariant manifolds in parametric

turbulent models

17:00–17:10 Break

17:10–17:30 G. V. Alexeev, Analysis of inverse extremal

D. A. Tereshko problems for stationary equations of

heat and mass transfer in viscous

?uid

17:30–17:50 S. I. Khudyaev Self-organization in the ?ow of

structurized ?uid

17:50–18:10 A. S. Demidov Evolution of perturbation of a circle in

the Stokes–Leibenson problem for the

Hele-Shaw ?ow

18:10–18:20 Break

18:20–18:40 E. Perekhodtseva Statistical models for operative

forecast of dangereous rainfalls,

squalls, tornados

106

June 21, Saturday

45-minute Talks (Auditorium 6-11)

14:00–14:45 J. Mattingly Mixing and scale in stochastically

forced Navier–Stokes equations

20-minute Talks (Auditorium 6-11)

15:10–15:30 G. A. Kuz’min, The Kolmogorov re?ned scaling

O. N. Soboleva in the theories of turbulence and in

subsurface hydrodynamics

15:30–15:50 A. A. Agrachev, On controllability of the Navier–

A. V. Sarychev Stokes equation by low modes forcing

15:50–16:10 V. L. Natyaganov Electro-capillar-vortical model and

imaginary paradoxes of the globe-

lighting

Section 6

GEOMETRY AND TOPOLOGY

June 17, Tuesday

45-minute Talks (Auditorium 14-08)

14:00–14:45 V. S. Kulikov Braid monodromy invariants of

generic coverings of the plane

14:50–15:35 Y. M. Eliashberg Symplectic ?eld theory and its

applications

15:35–15:50 Break

15:50–16:35 A. B. Givental Symplectic geometry of Frobenius

structures

20-minute Talks

Geometry, Topology, and Singularity Theory (Auditorium 14-02)

17:00–17:20 A. V. Pajitnov Morse–Novikov number for knots and

links

17:20–17:40 N. Saveliev Rokhlin invariant and gauge theory

17:40–18:00 R. R. Sadykov Elimination of singularities of smooth

mappings of 4-manifolds into

3-manifolds

18:00–18:10 Break

18:10–18:30 S. Terzic The topology of gauge groups and of

spaces of connections

107

Applications of Geometry and Topology (Auditorium 14-03)

17:00–17:20 I. S. Krasilshchik, Nonlocal Hamiltonian, symplectic

A. M. Verbovetsky, and recursion structures for N = 1

P. H. M. Kersten supersymmetric KDV equation

17:20–17:40 S. A. Igonin Coverings and the fundamental group

in the category of differential equations

17:40–18:00 O. I. Mokhov Compatible nonlocal Poisson

brackets of hydrodynamic type: local

Riemannian geometry and integrability

18:00–18:10 Break

18:10–18:30 V. A. Gorkaviy Bianchi transformation of surfaces

in E4

(presentation by

Yu. A. Aminov)

June 18, Wednesday

45-minute Talks (Auditorium 14-08)

14:00–14:45 A. A. Bolibrukh The universal inverse monodromy

problem

14:50–15:35 B. A. Khesin Evolution equations on the Virasoro

group: geometry and integrability

15:35–15:50 Break

15:50–16:35 I. M. Krichever Integrable chains on algebraic curves

20-minute Talks

Geometry, Topology, and Singularity Theory (Auditorium 14-02)

17:00–17:20 L. A. Bokut, Rewriting systems for the braid groups

A. Yu. Vesnin B3 and B4 with Gorin–Lin generators

17:20–17:40 V. M. Nezhinskij Singular links of the type

(S 1 ; S 1 ; S 1 ? S 1 )

17:40–18:00 V. L. Dol’nikov Some generalizations of transversal

theorems

18:00–18:10 Break

18:10–18:30 K. Rybnikov On locally convex piecewise-linear

surfaces

Applications of Geometry and Topology (Auditorium 14-03)

17:00–17:20 D. V. Millionshikov Deformations of graded Lie algebras

and symplectic manifolds

17:20–17:40 O. K. Sheinman Lie algebras and Riemann surfaces:

new aspects

108

17:40–18:00 S. V. Shadrin Hurwitz numbers and intersections on

the moduli spaces of curves

18:00–18:10 Break

18:10–18:30 V. A. Golubeva Analytic functionals and hyperbolic

equations

18:30–18:50 M. A. Akivis, Linearizability criterion for a d-web in

V. V. Goldberg, the plane with applications

V. V. Lychagin

June 19, Thursday

45-minute Talks (Auditorium 14-08)

9:30–10:15 V. M. Buchstaber Kolmogorov, cohomology and

cobordisms

10:20–11:05 I. A. Dynnikov New approaches to knot theory

11:05–11:20 Break

11:20–12:05 E. G. Rees Rings of continuous functions and

symmetric products

20-minute Talks (Auditorium 14-08)

12:20–12:40 A. Sergeev Adiabatic limit of the Seiberg–Witten

equations on the symplectic

4-manifolds

June 20, Friday

45-minute Talks (Auditorium 14-08)

14:00–14:45 V. M. Kharlamov Welschinger invariant and enumeration

of real rational plane curves

14:50–15:35 A. G. Khovanskii Topological version of the Galois

theory

15:35–15:50 Break

15:50–16:35 V. A. Vassiliev Geometry of discriminants and

classical homotopy topology

20-minute Talks

Geometry, Topology, and Singularity Theory (Auditorium 14-02)

17:00–17:20 Yu. V. Muranov Surgery exact sequence and splitting

problem

17:20–17:40 A. V. Zhubr On normal homotopy classi?cation of

6-manifolds

109

17:40–18:00 R. Herrera The topology and geometry of

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