Noncommutative Geometry Seminar

Compact quantum metric spaces are noncommutative generalizations of the algebras of Lipschitz functions over compact metric spaces. Intriguing new topologies have been constructed over classes of quantum metric spaces and related structures, in the spirit of the Gromov-Hausdorff distance topology. In this talk, we propose to explore the construction of some of these topologies and see some recent applications to modules and morphisms over quantum metric spaces.