Invariant measures on the lattices of the subgroups and the infinite symmetric group

The subject of talk (which called also as IRA -Invariant Random Subgroups) had appeared recently in different areas: to describe the adjoint invariant measures on the set (lattice) of all subgroups of the given group. This description will be done for infinite symmetric group. We explain also the applications to the representation theory of that group.

Anatoly Vershik