Uppsala University and University of Geneve

Title: TBA

Karlsruhe Institute of Technology

Title: Submetries

Submetries are maps between metric spaces which send balls onto balls of the same radii. They generalize Riemannian submersions and quotient maps for isometric group actions, appear sometimes  in rigidity considerations and have a variety of different facets ranging from metric geometry to commutative algebra.   In the course  we will discuss basics and structural results for submetries and review the theory of  metric spaces arising in the course of the study,  such as Alexandrov spaces and sets of positive reach.  The participants are expected to know basics of Riemannian geometry such as second fundamental form, injectivity radius, O'Neills formula.

Princeton University

Title: TBA