Victor Gerasimov (Université de Belo Horizonté, Brésil) "Integral criteria of hyperbolicity of graphs and groups"

I will talk about recent results obtained jointly with Leonid Potyagailo concerning various criteria of hyperbolicity in terms of integral geometry. Certain properties of a random walk on a group are equivalent to the hyperbolicity of the group. We are mainly interested in versions of the Ancona inequality that imply hyperbolicity.