Konstantin Slutsky : Two-sided invariant metrics on free products of metric groups

Posted by , part of the Logic Seminar.

At

March 1, 2011, 3 p.m.

In

SEO 612

Abstract

Back in 1948 Graev gave a construction of two-sided invariant(or just tsi for short) metrics on the free groups over metric spaces. These groups are the free objects in the category of groups with tsi metrics and Lipschitz homomorphism. We will construct tsi metrics on the free products(possibly with amalgamation) of tsi groups. In very general terms we will make one little step towards pushing concepts of geometric group theory to the continuous setting.