SCHEDULE

OF THE ROKHLIN MEMORIAL

August 18 - 25, 1999

The exhibition of printed works of V.A. Rokhlin will be opened in the library:

August, 19 in Steklov Institute

August, 20 - 25 in Euler Institute

AUGUST 18, Wednesday

EULER INTERNATIONAL MATHEMATICAL INSTITUTE, Pesochnaya, 10.

**10.00-20.00.** Registration

AUGUST 19, Thursday

STEKLOV MATHEMATICAL INSTITUTE AT ST. PETERSBURG, Fontanka, 27.

**10.00.** Registration

**12.00.** Opening

**PLENARY SESSION** (Chairman **A.Vershik**)

**12.15-13.15**. **Novikov** Sergei (RU) Shroedinger equation on graphs and related topics

**13.15-13.45.** *Coffee break*

**13.45-14.45**. **Gritsenko** Valery (RU) Elliptic genera

**15.00.** *Lunch*

**17.00**. **MEMORIAL SESSION**

AUGUST 20, Friday

EULER INTERNATIONAL MATHEMATICAL INSTITUTE, Pesochnaya, 10.

**PLENARY SESSION **(Chairman **S.Matveev**)

**9.30-10.30. Vassiliev** Victor (RU) Order complexes of singular sets and topology of spaces of

nonsingular projective varieties

**10.30-11.00**. *Coffee break*

**11.00-12.00. Buchstaber** Victor (RU) Groups of polynomial transformations, nonformal symplectic

manifolds and complex cobordisms

**12.00-13.00.** **Viro** Oleg (RU, SW) Real algebraic knot theories

**13.00**. *Lunch*

**SECTION** **A** (Chairman **O.Viro**)

**14.30-15.15**. **Orevkov** Stepan (RU, FR) Riemann existence theorem and construction of real algebraic

curves

**15.15-15.40. Polotovskii** Grigori (RU) Progress in the Classification of Decomposable Curves

**15.40-16.05. Trilles** Sebastien(FR) Congruence mod 16 for M-1 symmetric projective curve

**16.05-16.30. ***Coffee break*

**16.30-16.55. Welschinger** Jean-Yves (FR) Complex orientations of separating real algebraic curves on

ruled surfaces

**16.55-17.20. Natanzon** Sergei (RU) Hurwitz spaces

**17.20-17.45. Finashin** Sergey (RU,TR) The Rokhlin Conjecture about Arnold Surfaces and Quotients of

Complex Surfaces by Complex Conjugation

**17.45-18.10. Zvonilov** Victor (RU) Rigid isotopies of real trigonal curves on Hirzebruch surfaces

**SECTION B** (Chairman **J.-P.Thouvenot**)

**14.30-15.15. Pilyugin** Sergei (RU) Genericity of the shadowing property for homeomorphisms

**15.15-15.40. Pajitnov** Andrei (FR) Lefschetz zeta functions of gradients of circle-valued maps

**15.40-16.05. Felchtyn** Aleksandr (G) Reidemeister torsion and dynamical zeta functions in Nielsen

theory

**16.05-16.30.** *Coffee break*

**16.30-16.55. Glutsyuk** Alexei (RU) Continuity of the uniformization function of linear foliation

on 3-torus with nonstandard metric

**16.55-17.20 Kachurovskii** Alexander (RU) Rates of convergence in ergodic theorems

**17.20-17.45. Alania** Levan (RU) Some topological properties of nilmanifolds

AUGUST 21, SATURDAY

EULER INTERNATIONAL MATHEMATICAL INSTITUTE, Pesochnaya, 10.

**PLENARY SESSION **(Chairman **V.Vassiliev**)

**9.30-10.30. Matveev** Sergei (RU) Computation in 3-manifold topology

**10.30-11.00.** *Coffee break*

**11.00-12.00. Mishchenko** Alexandr(RU) The Hirzebruch formula: 45 years of history and

the present state

**12.00-13.00. Anderson** Laura (US) Triangulations of manifolds and combinatorial bundle theory

(joint with N. **Mnev**)

13.00. *Lunch*

**SECTION C** (Chairman **S**.**Yuzvinsky**)

**14.30-15.15. Sharko** Vladimir(UKR) Conley index and dynamical systems on four manifolds

**15.15-15.40. Bolsinov** Alexey (RU) An example of an integrable geodesic flow with positive

entropy

**15.40-16.05**. *Coffee break*

**16.05-16.30. Zhirov** Alexey (RU) Coverings of diffeomorphisms of surfaces with hyperbolic attractors

**16.30-16.55. Troitskaya** Saule (RU) Some spectral properties of the dynamical system managing the

motion of rotating fluid

**16.55-17.20. Dontsov** Viktor (RU) Systoles of uniformly discrete lattices on higher Heisenberg groups

with a Carnot-Caratheodory metric

**17.20-17.45. Matveev** Vladimir (RU) Dynamical and topological methods in the theory of geodesically

equivalent metrics

**17.45-18.10. Shapiro **Mikhail (RU) Connected components in intersection of Schubert cells and groups generated by symplectic transvections

**SECTION D** (Chairman **V.Vershinin**)

**14.30-15.15. Koschorke** Ulrich (G) Milnor's μ-invariants and higher dimensional link homotopy

in arbitrary manifolds

**15.15-15.40. Eichhorn** Juergen (G) A classification approach for open manifolds

**15.40-16.05.** *Coffee break*

**16.05-16.30. Popelenski** Fedor (RU) Steenrod operations in certain cobordism theories

**16.30-16.55. Panov** Taras (RU) Algebraic topology of torus actions on manifolds defined by simple

polytopes

**16.55-17.20. Musin** Oleg (RU) Four-vertex theorem and related topics

**17.20-17.45. Nezhinskii** Vladimir (RU) Pseudo-homotopy classification of higher dimensional singular

links

**17.45-18.10. Feldman** Konstantin (RU) An equivariant analog of Poincare-Hopf theorem

**19.30 .**

AUGUST 22, Sunday

**10.00-17.00.** Bus excursion over the city and to Pushkin

AUGUST 23, MONDAY

EULER INTERNATIONAL MATHEMATICAL INSTITUTE, Pesochnaya, 10.

**PLENARY SESSION **(Chairman **U. Koschorke**)

**9.30-10.30. Leonov** Gennadii (RU) Lyapunov functions in estimates of dimension of attractors

of dynamical systems

**10.30-11.00**. *Coffee break*

**11.00-12.00. Viro** Oleg (RU, SW) Topological work of Mikhail Goussarov(1958-1999)

**12.00-13.00. Mikhalkin** Grigory (RU, US) Real algebraic geometry and holomorphic amoebas

13.00. *Lunch*

**SECTION E** (Chairman **M.Postnikov**)

**14.30-15.15. Macho-Stadler** Marta(Spain) Foliations, groupoids and Baum-Connes conjecture

**15.15-15.40. Starkov** Aleksandr (RU) On cocycle rigidity of Anosov action

**15.40-16.05. Kaimanovich** Vadim (FR) Amenability, hyperfiniteness and isoperimetric properties

of equivalence relations

**16.05-16.30.** *Coffee break*

**16.30-16.55. Pavlov** Aleksandr (RU) Generalized Lefschetz numbers of unitary endomorphisms of

W-elliptic complexes

**16.55-17.20. Manuilov** Vladimir (RU) Almost representations of discrete groups and K-theory

of classifying spaces

**17.20-17.45. Troitsky** Evgenij (RU) Actions of compact groups, C*-index theorem, and families

**17.45-18.10 Bufetov **Aleksandr (RU) Ergodic theorems for free semigroup and group actions

**SECTION F** (Chairman **N.Netsvetaev**)

**14.30-15.15. Szucs** Andras (HU) Geometric formula for Smale invariants and proofs of Rokhlin's

theorems (joint with T.Eckholm)

**15.15-15.40**. **Akhmet'ev** Peter (RU) Isotopical Realization Problem (jt with S.A.Melikhov)

**15.40-16.05. Salikhov** Konstantin (RU) Immersions without triple points

**16.05-16.30**. *Coffee break*

**16.30-16.55. Skopenkov** Arkady (RU) Knotted tori and the deleted product criterion

**16.55-17.20. Zhubr** Alexei (RU) Non-stability of smooth 6-manifolds with π_{1}=Z^{3}

**17.20-17.45. Podkorytov** Semen (RU) Quadratic property of the Kervaire semicharacteristic

**17.45-18.10. Fominykh** Evgenii (RU) On normal surfaces in 3-manifolds

AUGUST 24, TUESDAY

EULER INTERNATIONAL MATHEMATICAL INSTITUTE, Pesochnaya, 10.

**PLENARY SESSION (**Chairman **J.Feldman**)

**9.00-10.30. Vershinin** Vladimir(RU) Homological properties of virtual braids

**10.30-11.00.** *Coffee break*

**11.00-12.00. Vershik** Anatoly (RU) Numerical invariants of countable groups and locally free

approximation of braid groups

**12.00-13.00. Dolgopyat** Dmitry (RU) Dynamics of partially hyperbolic systems on three dimensional

manifolds

13.00. *Lunch*.

**SECTION G** (Chairman **Yu.Burago**)

**14.30-15.15. Alexandrov** Victor (RU) Implicit function theorem for polynomial systems with vanishing

Jacobian and it's applications to flexible structures

**15.15-15.40. Damian** Florin (ML) On a hyperbolic 5-manifold of finite volume

**15.40-16.05. Csikos** Balazs (HU) The Minkowski measure of a contracted set

**16.05-16.30.** *Coffee break*

**16.30-16.55. Borysenko** Olexandr (UKR) Global Structure Compact Hopf Hypersurfaces in Complex

Space Form

**16.55-17.20. Markarian** Nikita (RU) Projective structures and harmonic maps

**17.20-17.45. Kozlov** Sergei (RU) (in Russian) Critical values of sectional curvature in Grassmanians

**17.45-18.10 Zalgaller** Victor (RU) (in Russian) On convex hull of intersections and unions of convex sets

**SECTION H** (Chairman **M.Semenov-Tyan-Shanskii**)

**14.30-15.15. Dynnikov** Ivan (RU) On a solution of the Yang-Baxter equation and representations of

the 3-page braid group

**15.15-15.40. Florens** Vincent (FR) About estimation of slice genus of links

**15.40-16.05. Manturov** Oleg (RU) On Invariant Polynomials of some Knots

**16.05-16.30.** *Coffee break*

**16.30-16.55. Manturov** Vassily (RU) Semigroup of d-Diagrams and Algebra of Chord Diagrams

**16.55-17.20. Tyurina** Svetlana(RU) Diagram formulas of Viro-Polyak type and the Kontsevich integral

for (2,n)-torus knots

**17.20-17.45. Svetlov **Pavel (RU) Invariants of links and knots on T-polyhedra

**17.45-18.10. Ovchinnikov** Mikhail (RU) On special spines whose singular graph is split by every

pair of vertices

AUGUST 25, WEDNESDAY

EULER INTERNATIONAL MATHEMATICAL INSTITUTE, Pesochnaya, 10.

**PLENARY SESSION **(Chairman **V.Bukhshtaber**)

**9.30-10.30. Kazarian** Maxim (RU) Topological Invariants of Global Singularities

**10.30-11.00**. *Coffee break*

**11.00-12.00. Yuzvinsky** Sergey (US) Cohomology of local systems on hyperplane complements

**12.00-13.00 Kaloshin** Vadim (US) Generic diffeomorphisms with superexponential growth of number

of periodic points

13.30. *Lunch*.

**SECTION I** (Chairman **M.Kazarian**)

**14.30-14.55. Davydov** Ostap (RU) Special spines of branched coverings of S_{3}

**14.55-15.20. Macovetsky** Artem (RU) On transformation of special spines

**15.20-15.45. Kulish** Petr (RU) Link invariants in handlebody and reflection equation (joint

with A. Nikitin)

**15.45-16.10. Smirnov **Stanislav (SW) On dimension of quasicircles

**SECTION J** (Chairman **V.Kaimanovich**)

**14.30-14.55. Chakvetadze **Georgi (RU) Ergodic Theory of One-dimensional Model of Drilling

**14.55-15.20. Yagodovsky** Petr (RU) The linear deformation of discrete groups

**15.20-15.45. Dubina **Anna (RU) On the rate of escape

**15.45-16.10. Rayskin **Victoria (US) Denerate Homoclinic Crossings

**16.10-16.35**. *Coffee break*

16.35-17.00 INTAS Meeting

17.00 Closing