The group of congruences of measurable functions
On cyclotomic schemes over finite near-fields
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.
Interval exchange transformations and geodesic flow on the Teichmuller space.
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.
A.D.Alexandrov's theorem on uniqueness of polyhedra and its refinements
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.
Massimo Picardello (Rome)
Admissible limits of harmonic functions on trees
Groups acting continuously on the circle
On the number of integer points on a convex curve
Top of the page
Representation Theory Laboratory Home Page
PDMI Home Page