ИСТИНА

I'll talk about the tetrahedron equation, some natural problems associated with it, the problem of describing the invariants of 2-knots using the theory quandles cohomology and some new construction of quasi-invariants based on the 3-dimensional lattice statistical models with special properties. A few words I would say about a purely combinatorial question of describing the socalled n-simplicial complexes. I will also emphasize the relation of this structure with the theory of quantum integrable systems on two-dimensional lattices.