In Information Geometry one studies the geometric properties of a manifold equipped with a Riemannian metric g and an affine connection D which are related by an equation.
The pair (g, D) arises from a divergence on a manifold. Thus Information Geometry has some applications to statistics. A more general divergence induces a Finsler metric and a spray satisfying an
equation.

In my talk, I will give an introduction the basic theory of information structures on a manifold. Speaker(s): Zhongmin Shen (IUPUI)