Konferenz: Spring Lectures 2012


Distance between homotopy classes of maps with values in spheres

{{_Ltalk:R}} Prof. Dr. Itai Shafrir
Datum: 04.05.12   Zeit: 13.30 - 14.20   Raum: Y27H28

Homotopy classes of Sobolev maps with values in compact manifolds appear in many areas of pure and applied mathematics. Usually people are interested in the existence of minimizers for a certain energy within a specific homotopy class. Here we are interested in a different problem, namely, the distance between distinct homotopy classes. We compute this distance for maps between n-dimensional spheres and for maps from a multiply connected two dimensional domain to the circle.