Elon Lindenstrauss
(HU)
"Periodic torus orbits and distribution of matrices with given characteristic polynomial"
Abstract:
An important class of dynamical systems is given by the action of a group H on a quotient space Gamma \ G where G is a linear group, H a subgroup of G, and Gamma a discrete subgroup.In my talk I will consider the distribution properties of periodic orbits of this action, particularly when H is a diagonalizable abelian group and explain the relation to the distribution of matrix solutions to irreducible integer polynomials.
Based on joint work with Einsiedler, Michel, and Venkatesh