Lectures on quasi-isometric rigidity

Inspiration: Simple noncompact connected Lie groups — Irreducible symmetric spaces of noncompact type (E.Cartan et al). Here there is an essentially 1-1 correspondence between algebraic objects (a Lie group of a certain type) and geometric objects (certain symmetric spaces). Namely, given a Lie group G on constructs a symmetric space X = G/K (K is a maximal compact subgroup of G) and, conversely, every symmetric space corresponds to a Lie group G (its isometry group) and this group is unique.