Russian version

St. Petersburg Seminar

on Representation Theory and Dynamical Systems

Wednesday, 17 PM, room 311 , PDMI, Fontanka 27

Former talks in 2005:

October 19
Four-vertex model, plane partitions and tilings
October 12
Monomial orderings and the combinatorics of Groebner fan
October 12
Joel Rivat (Luminy)
Constructions of pseudorandom sequences
October 5
U.Haboeck (Vienna)
Nonabelian extensions of minimal homeomorphisms

October 5
A.M.Vershik, U.Haboeck
The group of congruences of measurable functions
September 14
On cyclotomic schemes over finite near-fields
September 7

On the Boerling-Malliavin multiplicator theorem.

Combinatorial fiber bundles.

The rate of decreasing of (p,A)-lacunary series.

A generalization of the Schur-Weyl duality.

July 15

A.Bufetov (Princeton)
Interval exchange transformations and geodesic flow on the Teichmuller space.

D.Burago (PennState)
Boundary rigidity and filling volume minimality for metrics close to a flat one (based on a joint work with S.Ivanov).

An elementary derivation of the limit form for the homogeneous distribution on partitions.

Scaling entropy of random walks.

The branching graph of the Turaev algebra.
April 13
A.D.Alexandrov's theorem on uniqueness of polyhedra and its refinements
April 6
A.Sergeev (Moscow)
Generalized discriminants, deformed Calogero-Moser-Sutherland operators and super Jack polynomials

It is shown that the deformed Calogero-Moser-Sutherland (CMS) operators can be described as a restriction on certain affine subvarieties (called generalized discriminants) of the usual CMS operators for an infinite number of particles. The ideal of these varieties is shown to be generated by the Jack symmetric functions related to the Young diagrams with special geometry. A general structure of the ideals which are invariant under the action of the quantum CMS integrals is discussed in this context. The shifted super-Jack polynomials are introduced and combinatorial formulas for them and super-Jack polynomials are given.

April 4
Massimo Picardello (Rome)
Admissible limits of harmonic functions on trees
January 19
Groups acting continuously on the circle
January 12
On the number of integer points on a convex curve
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