Logic Seminar
Konstantin Slutsky
UIC
Two-sided invariant metrics on free products of metric groups
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.
Tuesday March 1, 2011 at 3:00 PM in SEO 612