International conference

Representation Theory, Dynamical Systems,

and Asymptotic Combinatorics

dedicated to the 70th birthday of A.M.Vershik

 

St. Petersburg, Russia

June 8--13, 2004

A version of June12.

See http://www.pdmi.ras.ru/EIMI/2004/RT/  for a may be more precise version.

 

Euler International Mathematical Institute,

10 Pesochnaya nab.

 

Monday June 7

  17:00-20:00

REGISTRATION

 

 

Tuesday June 8

  9:30-11:00

REGISTRATION

11:00

OPENING

11:20-12:05

A. Kirillov. Mathematical aspects of fractal geometry.

12:15-13:00

H. Furstenberg. Nonconventional ergodic theorems.

Lunch

14:30-15:15

A. Okounkov. Random surfaces and algebraic curves.

15:20-16:05

K. Schmidt. Symbolic representations of nonhyperbolic toral automorphisms.

Coffee

16:30-17:00

V. Kaimanovich. Amenability and the Liouville property.

17:05-17:35

D. Burago. Unbounded bi-invariant quasi-norm on groups of geometric origin.

17:40-18:10

Ch. Skau. The orbit structure of Cantor minimal Z-2 systems.

18:15-18:45

G. Litvinov, G. Shpiz. Representation of groups in idempotent spaces: an algebraic approach.

18:50

WELCOME PARTY

 


 

Wednesday June 9

  9:30-10:15

F. Götze. Free convolutions and spectral asymptotics.

10:20-11:05

M. Božejko. Generalized Gaussian processes and Kerov–Vershik representations of the infinite symmetric groups and Hecke algebras.

Coffee

11:25-12:10

A. Khovanskii. Affine sections of convex polyhedra and Nikulin’s estimation.

12:15-13:00

A. Zelevinsky. An introduction to cluster algebras.

Lunch

14:30-15:15

S. Fomin. Cluster algebras. II.

15:20-16:05

M. Lemanczyk. On dynamical systems which are disjoint from Gaussian systems.

Coffee

16:30-17:00

G. Freiman. On new results in the structure theory of set addition.

17:05-17:35

I. Kantor. Generalized representations of Jordan algebras.

17:40-18:10

V. Ustimenko. Extremal graphs without cycles of length eight.

19:00-21:30

BOAT SIGHTSEEING TOUR


 

 

Thursday June 10

 9:30- 10:15

Y. Guivarch. Random walks on some classes of homogeneous spaces, and limit sets of group actions.

10:20-11:05

B. Weiss. On the ergodic theory of non-locally compact groups.

11:10-11:55

J.-P. Thouvenot. Decomposing a transformation into “extremal components”.

Lunch

13:00-19:00

EXCURSION TO PETERHOF

 


 

Friday June 11

  9:30-10:15

A. Joseph. What quantum deformations reveal.

10:20-11:05

I. Krichever. Analytic theory of the rational and elliptic difference equations.

Coffee

11:25-12:10

S. Novikov. Discrete connections.

12:15-13:00

S. Yuzvinsky. Nets in CP2.

Lunch

14:30-15:00

M. Graev. Hypergeometric functions connected with finite-dimensional irreducible representations of the group GL(n, C)

(in Russian).

15:05-15:35

I. Itenberg. Asymptotic enumeration of real rational curves.

15:35-16.00

Poster Session,  Coffee

16.00-16.30

J. Kwiatkowski. Dimension groups of Cantor minimal systems.

16.35-17.05 

N. Mnev. Brief history of the universality theorems for the spaces of point-line configurations.

17.10-17.40 

G. Kuhn. Canonical states for the group of automorphisms of a homogeneous tree.

17:45-18:15

O. Smolyanov. Feinmann path intetgrals via Chernoff formula and all that.

19:00

CONFERENCE DINNER   (STEKLOV INSTITUTE, 27 Fontanka emb.)


 

Saturday June 12

  9:30-10:15

Yu. Neretin. Inverse limits of unitary groups and their imitation on the level of eigenvalues.

10:20-11:05

G. Olshanski. Markov chains on partitions.

Coffee

11:25-12:10

O. Viro. Categorification in Knot theory: from polynomials to homology.

12:15-13:00

M. Émery. On the chaotic representation property for normal martingales.

Lunch

14:30-15:00

A. Regev. On hook numbers identities and some characters of the symmetric group.

15:05-15:35

N. Nessonov. The deformations of the Shale–Weil representation of the group Sp(2∞, C).

Coffee

16.00-16.30

M. Gordin. Random perturbations, probabilistic extensions, and limit theorems for dynamical systems.

16.35-17.05 

A. Tikhomirov. On the rate of convergence in limit theorems for spectral distributions of random matrices.

17.10-17.40 

L. Prokhorov. Modelling of quantum networks (with B.Pavlov).


 

Sunday June 13

  9:30-10:15

J. Renault. Transverse properties of dynamical systems.

10:20-10:50

V. Kulagin. Orbit equivalence classification for cocycles of generic equivalence relations.

Coffee

11:15-11:45

A. Melnikov. Young tableaux and primitive ideals in U(sl(n)).

11:50-12:20

Yu. Yakubovich. On the uniform measures on simplices, compositions, and partitions.

12:25-12:55

F. Petrov. Asymptotics of Young diagrams and lattice polygons.

Lunch

14:30-15:00

A. Uglanov. Prokhorov theorem for vector measures.

15.05-15.35

D. Volkov. Andronov–Hopf bifurcation of quasi-periodic invariant tori from equilibrium point and dynamics of laser with saturable absorber.