Four-vertex model, plane partitions and tilings

Monomial orderings and the combinatorics of Groebner fan

Constructions of pseudorandom sequences

Nonabelian extensions of minimal homeomorphisms

October 5A.M.Vershik, U.Haboeck

The group of congruences of measurable functionsSeptember 14I.N.Ponomarenko

On cyclotomic schemes over finite near-fieldsSeptember 7

V.P.Havin.

On the Boerling-Malliavin multiplicator theorem.

N.E.Mnev.

Combinatorial fiber bundles.

N.A.Shirokov.

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

P.P.Nikitin.

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).

F.Petrov

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

A.Gorbulsky

Scaling entropy of random walks.

P.Nikitin

The branching graph of the Turaev algebra.April 13G.Panina

A.D.Alexandrov's theorem on uniqueness of polyhedra and its refinementsApril 6A.Sergeev (Moscow)

Generalized discriminants, deformed Calogero-Moser-Sutherland operators and super Jack polynomialsIt 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 4Massimo Picardello (Rome)

Admissible limits of harmonic functions on treesJanuary 19A.Malyutin

Groups acting continuously on the circleJanuary 12F.Petrov

On the number of integer points on a convex curve

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